=>

[1]=>[1]=> [1,2]=>[2,1]=>0 [2,1]=>[1,2]=>1 [1,2,3]=>[3,2,1]=>00 [1,3,2]=>[2,3,1]=>00 [2,1,3]=>[3,1,2]=>00 [2,3,1]=>[1,3,2]=>10 [3,1,2]=>[2,1,3]=>01 [3,2,1]=>[1,2,3]=>11 [1,2,3,4]=>[4,3,2,1]=>000 [1,2,4,3]=>[3,4,2,1]=>000 [1,3,2,4]=>[4,2,3,1]=>000 [1,3,4,2]=>[2,4,3,1]=>000 [1,4,2,3]=>[3,2,4,1]=>000 [1,4,3,2]=>[2,3,4,1]=>000 [2,1,3,4]=>[4,3,1,2]=>000 [2,1,4,3]=>[3,4,1,2]=>000 [2,3,1,4]=>[4,1,3,2]=>000 [2,3,4,1]=>[1,4,3,2]=>100 [2,4,1,3]=>[3,1,4,2]=>000 [2,4,3,1]=>[1,3,4,2]=>100 [3,1,2,4]=>[4,2,1,3]=>000 [3,1,4,2]=>[2,4,1,3]=>000 [3,2,1,4]=>[4,1,2,3]=>000 [3,2,4,1]=>[1,4,2,3]=>100 [3,4,1,2]=>[2,1,4,3]=>010 [3,4,2,1]=>[1,2,4,3]=>110 [4,1,2,3]=>[3,2,1,4]=>001 [4,1,3,2]=>[2,3,1,4]=>001 [4,2,1,3]=>[3,1,2,4]=>001 [4,2,3,1]=>[1,3,2,4]=>101 [4,3,1,2]=>[2,1,3,4]=>011 [4,3,2,1]=>[1,2,3,4]=>111 [1,2,3,4,5]=>[5,4,3,2,1]=>0000 [1,2,3,5,4]=>[4,5,3,2,1]=>0000 [1,2,4,3,5]=>[5,3,4,2,1]=>0000 [1,2,4,5,3]=>[3,5,4,2,1]=>0000 [1,2,5,3,4]=>[4,3,5,2,1]=>0000 [1,2,5,4,3]=>[3,4,5,2,1]=>0000 [1,3,2,4,5]=>[5,4,2,3,1]=>0000 [1,3,2,5,4]=>[4,5,2,3,1]=>0000 [1,3,4,2,5]=>[5,2,4,3,1]=>0000 [1,3,4,5,2]=>[2,5,4,3,1]=>0000 [1,3,5,2,4]=>[4,2,5,3,1]=>0000 [1,3,5,4,2]=>[2,4,5,3,1]=>0000 [1,4,2,3,5]=>[5,3,2,4,1]=>0000 [1,4,2,5,3]=>[3,5,2,4,1]=>0000 [1,4,3,2,5]=>[5,2,3,4,1]=>0000 [1,4,3,5,2]=>[2,5,3,4,1]=>0000 [1,4,5,2,3]=>[3,2,5,4,1]=>0000 [1,4,5,3,2]=>[2,3,5,4,1]=>0000 [1,5,2,3,4]=>[4,3,2,5,1]=>0000 [1,5,2,4,3]=>[3,4,2,5,1]=>0000 [1,5,3,2,4]=>[4,2,3,5,1]=>0000 [1,5,3,4,2]=>[2,4,3,5,1]=>0000 [1,5,4,2,3]=>[3,2,4,5,1]=>0000 [1,5,4,3,2]=>[2,3,4,5,1]=>0000 [2,1,3,4,5]=>[5,4,3,1,2]=>0000 [2,1,3,5,4]=>[4,5,3,1,2]=>0000 [2,1,4,3,5]=>[5,3,4,1,2]=>0000 [2,1,4,5,3]=>[3,5,4,1,2]=>0000 [2,1,5,3,4]=>[4,3,5,1,2]=>0000 [2,1,5,4,3]=>[3,4,5,1,2]=>0000 [2,3,1,4,5]=>[5,4,1,3,2]=>0000 [2,3,1,5,4]=>[4,5,1,3,2]=>0000 [2,3,4,1,5]=>[5,1,4,3,2]=>0000 [2,3,4,5,1]=>[1,5,4,3,2]=>1000 [2,3,5,1,4]=>[4,1,5,3,2]=>0000 [2,3,5,4,1]=>[1,4,5,3,2]=>1000 [2,4,1,3,5]=>[5,3,1,4,2]=>0000 [2,4,1,5,3]=>[3,5,1,4,2]=>0000 [2,4,3,1,5]=>[5,1,3,4,2]=>0000 [2,4,3,5,1]=>[1,5,3,4,2]=>1000 [2,4,5,1,3]=>[3,1,5,4,2]=>0000 [2,4,5,3,1]=>[1,3,5,4,2]=>1000 [2,5,1,3,4]=>[4,3,1,5,2]=>0000 [2,5,1,4,3]=>[3,4,1,5,2]=>0000 [2,5,3,1,4]=>[4,1,3,5,2]=>0000 [2,5,3,4,1]=>[1,4,3,5,2]=>1000 [2,5,4,1,3]=>[3,1,4,5,2]=>0000 [2,5,4,3,1]=>[1,3,4,5,2]=>1000 [3,1,2,4,5]=>[5,4,2,1,3]=>0000 [3,1,2,5,4]=>[4,5,2,1,3]=>0000 [3,1,4,2,5]=>[5,2,4,1,3]=>0000 [3,1,4,5,2]=>[2,5,4,1,3]=>0000 [3,1,5,2,4]=>[4,2,5,1,3]=>0000 [3,1,5,4,2]=>[2,4,5,1,3]=>0000 [3,2,1,4,5]=>[5,4,1,2,3]=>0000 [3,2,1,5,4]=>[4,5,1,2,3]=>0000 [3,2,4,1,5]=>[5,1,4,2,3]=>0000 [3,2,4,5,1]=>[1,5,4,2,3]=>1000 [3,2,5,1,4]=>[4,1,5,2,3]=>0000 [3,2,5,4,1]=>[1,4,5,2,3]=>1000 [3,4,1,2,5]=>[5,2,1,4,3]=>0000 [3,4,1,5,2]=>[2,5,1,4,3]=>0000 [3,4,2,1,5]=>[5,1,2,4,3]=>0000 [3,4,2,5,1]=>[1,5,2,4,3]=>1000 [3,4,5,1,2]=>[2,1,5,4,3]=>0100 [3,4,5,2,1]=>[1,2,5,4,3]=>1100 [3,5,1,2,4]=>[4,2,1,5,3]=>0000 [3,5,1,4,2]=>[2,4,1,5,3]=>0000 [3,5,2,1,4]=>[4,1,2,5,3]=>0000 [3,5,2,4,1]=>[1,4,2,5,3]=>1000 [3,5,4,1,2]=>[2,1,4,5,3]=>0100 [3,5,4,2,1]=>[1,2,4,5,3]=>1100 [4,1,2,3,5]=>[5,3,2,1,4]=>0000 [4,1,2,5,3]=>[3,5,2,1,4]=>0000 [4,1,3,2,5]=>[5,2,3,1,4]=>0000 [4,1,3,5,2]=>[2,5,3,1,4]=>0000 [4,1,5,2,3]=>[3,2,5,1,4]=>0000 [4,1,5,3,2]=>[2,3,5,1,4]=>0000 [4,2,1,3,5]=>[5,3,1,2,4]=>0000 [4,2,1,5,3]=>[3,5,1,2,4]=>0000 [4,2,3,1,5]=>[5,1,3,2,4]=>0000 [4,2,3,5,1]=>[1,5,3,2,4]=>1000 [4,2,5,1,3]=>[3,1,5,2,4]=>0000 [4,2,5,3,1]=>[1,3,5,2,4]=>1000 [4,3,1,2,5]=>[5,2,1,3,4]=>0000 [4,3,1,5,2]=>[2,5,1,3,4]=>0000 [4,3,2,1,5]=>[5,1,2,3,4]=>0000 [4,3,2,5,1]=>[1,5,2,3,4]=>1000 [4,3,5,1,2]=>[2,1,5,3,4]=>0100 [4,3,5,2,1]=>[1,2,5,3,4]=>1100 [4,5,1,2,3]=>[3,2,1,5,4]=>0010 [4,5,1,3,2]=>[2,3,1,5,4]=>0010 [4,5,2,1,3]=>[3,1,2,5,4]=>0010 [4,5,2,3,1]=>[1,3,2,5,4]=>1010 [4,5,3,1,2]=>[2,1,3,5,4]=>0110 [4,5,3,2,1]=>[1,2,3,5,4]=>1110 [5,1,2,3,4]=>[4,3,2,1,5]=>0001 [5,1,2,4,3]=>[3,4,2,1,5]=>0001 [5,1,3,2,4]=>[4,2,3,1,5]=>0001 [5,1,3,4,2]=>[2,4,3,1,5]=>0001 [5,1,4,2,3]=>[3,2,4,1,5]=>0001 [5,1,4,3,2]=>[2,3,4,1,5]=>0001 [5,2,1,3,4]=>[4,3,1,2,5]=>0001 [5,2,1,4,3]=>[3,4,1,2,5]=>0001 [5,2,3,1,4]=>[4,1,3,2,5]=>0001 [5,2,3,4,1]=>[1,4,3,2,5]=>1001 [5,2,4,1,3]=>[3,1,4,2,5]=>0001 [5,2,4,3,1]=>[1,3,4,2,5]=>1001 [5,3,1,2,4]=>[4,2,1,3,5]=>0001 [5,3,1,4,2]=>[2,4,1,3,5]=>0001 [5,3,2,1,4]=>[4,1,2,3,5]=>0001 [5,3,2,4,1]=>[1,4,2,3,5]=>1001 [5,3,4,1,2]=>[2,1,4,3,5]=>0101 [5,3,4,2,1]=>[1,2,4,3,5]=>1101 [5,4,1,2,3]=>[3,2,1,4,5]=>0011 [5,4,1,3,2]=>[2,3,1,4,5]=>0011 [5,4,2,1,3]=>[3,1,2,4,5]=>0011 [5,4,2,3,1]=>[1,3,2,4,5]=>1011 [5,4,3,1,2]=>[2,1,3,4,5]=>0111 [5,4,3,2,1]=>[1,2,3,4,5]=>1111 [1,2,3,4,5,6]=>[6,5,4,3,2,1]=>00000 [1,2,3,4,6,5]=>[5,6,4,3,2,1]=>00000 [1,2,3,5,4,6]=>[6,4,5,3,2,1]=>00000 [1,2,3,5,6,4]=>[4,6,5,3,2,1]=>00000 [1,2,3,6,4,5]=>[5,4,6,3,2,1]=>00000 [1,2,3,6,5,4]=>[4,5,6,3,2,1]=>00000 [1,2,4,3,5,6]=>[6,5,3,4,2,1]=>00000 [1,2,4,3,6,5]=>[5,6,3,4,2,1]=>00000 [1,2,4,5,3,6]=>[6,3,5,4,2,1]=>00000 [1,2,4,5,6,3]=>[3,6,5,4,2,1]=>00000 [1,2,4,6,3,5]=>[5,3,6,4,2,1]=>00000 [1,2,4,6,5,3]=>[3,5,6,4,2,1]=>00000 [1,2,5,3,4,6]=>[6,4,3,5,2,1]=>00000 [1,2,5,3,6,4]=>[4,6,3,5,2,1]=>00000 [1,2,5,4,3,6]=>[6,3,4,5,2,1]=>00000 [1,2,5,4,6,3]=>[3,6,4,5,2,1]=>00000 [1,2,5,6,3,4]=>[4,3,6,5,2,1]=>00000 [1,2,5,6,4,3]=>[3,4,6,5,2,1]=>00000 [1,2,6,3,4,5]=>[5,4,3,6,2,1]=>00000 [1,2,6,3,5,4]=>[4,5,3,6,2,1]=>00000 [1,2,6,4,3,5]=>[5,3,4,6,2,1]=>00000 [1,2,6,4,5,3]=>[3,5,4,6,2,1]=>00000 [1,2,6,5,3,4]=>[4,3,5,6,2,1]=>00000 [1,2,6,5,4,3]=>[3,4,5,6,2,1]=>00000 [1,3,2,4,5,6]=>[6,5,4,2,3,1]=>00000 [1,3,2,4,6,5]=>[5,6,4,2,3,1]=>00000 [1,3,2,5,4,6]=>[6,4,5,2,3,1]=>00000 [1,3,2,5,6,4]=>[4,6,5,2,3,1]=>00000 [1,3,2,6,4,5]=>[5,4,6,2,3,1]=>00000 [1,3,2,6,5,4]=>[4,5,6,2,3,1]=>00000 [1,3,4,2,5,6]=>[6,5,2,4,3,1]=>00000 [1,3,4,2,6,5]=>[5,6,2,4,3,1]=>00000 [1,3,4,5,2,6]=>[6,2,5,4,3,1]=>00000 [1,3,4,5,6,2]=>[2,6,5,4,3,1]=>00000 [1,3,4,6,2,5]=>[5,2,6,4,3,1]=>00000 [1,3,4,6,5,2]=>[2,5,6,4,3,1]=>00000 [1,3,5,2,4,6]=>[6,4,2,5,3,1]=>00000 [1,3,5,2,6,4]=>[4,6,2,5,3,1]=>00000 [1,3,5,4,2,6]=>[6,2,4,5,3,1]=>00000 [1,3,5,4,6,2]=>[2,6,4,5,3,1]=>00000 [1,3,5,6,2,4]=>[4,2,6,5,3,1]=>00000 [1,3,5,6,4,2]=>[2,4,6,5,3,1]=>00000 [1,3,6,2,4,5]=>[5,4,2,6,3,1]=>00000 [1,3,6,2,5,4]=>[4,5,2,6,3,1]=>00000 [1,3,6,4,2,5]=>[5,2,4,6,3,1]=>00000 [1,3,6,4,5,2]=>[2,5,4,6,3,1]=>00000 [1,3,6,5,2,4]=>[4,2,5,6,3,1]=>00000 [1,3,6,5,4,2]=>[2,4,5,6,3,1]=>00000 [1,4,2,3,5,6]=>[6,5,3,2,4,1]=>00000 [1,4,2,3,6,5]=>[5,6,3,2,4,1]=>00000 [1,4,2,5,3,6]=>[6,3,5,2,4,1]=>00000 [1,4,2,5,6,3]=>[3,6,5,2,4,1]=>00000 [1,4,2,6,3,5]=>[5,3,6,2,4,1]=>00000 [1,4,2,6,5,3]=>[3,5,6,2,4,1]=>00000 [1,4,3,2,5,6]=>[6,5,2,3,4,1]=>00000 [1,4,3,2,6,5]=>[5,6,2,3,4,1]=>00000 [1,4,3,5,2,6]=>[6,2,5,3,4,1]=>00000 [1,4,3,5,6,2]=>[2,6,5,3,4,1]=>00000 [1,4,3,6,2,5]=>[5,2,6,3,4,1]=>00000 [1,4,3,6,5,2]=>[2,5,6,3,4,1]=>00000 [1,4,5,2,3,6]=>[6,3,2,5,4,1]=>00000 [1,4,5,2,6,3]=>[3,6,2,5,4,1]=>00000 [1,4,5,3,2,6]=>[6,2,3,5,4,1]=>00000 [1,4,5,3,6,2]=>[2,6,3,5,4,1]=>00000 [1,4,5,6,2,3]=>[3,2,6,5,4,1]=>00000 [1,4,5,6,3,2]=>[2,3,6,5,4,1]=>00000 [1,4,6,2,3,5]=>[5,3,2,6,4,1]=>00000 [1,4,6,2,5,3]=>[3,5,2,6,4,1]=>00000 [1,4,6,3,2,5]=>[5,2,3,6,4,1]=>00000 [1,4,6,3,5,2]=>[2,5,3,6,4,1]=>00000 [1,4,6,5,2,3]=>[3,2,5,6,4,1]=>00000 [1,4,6,5,3,2]=>[2,3,5,6,4,1]=>00000 [1,5,2,3,4,6]=>[6,4,3,2,5,1]=>00000 [1,5,2,3,6,4]=>[4,6,3,2,5,1]=>00000 [1,5,2,4,3,6]=>[6,3,4,2,5,1]=>00000 [1,5,2,4,6,3]=>[3,6,4,2,5,1]=>00000 [1,5,2,6,3,4]=>[4,3,6,2,5,1]=>00000 [1,5,2,6,4,3]=>[3,4,6,2,5,1]=>00000 [1,5,3,2,4,6]=>[6,4,2,3,5,1]=>00000 [1,5,3,2,6,4]=>[4,6,2,3,5,1]=>00000 [1,5,3,4,2,6]=>[6,2,4,3,5,1]=>00000 [1,5,3,4,6,2]=>[2,6,4,3,5,1]=>00000 [1,5,3,6,2,4]=>[4,2,6,3,5,1]=>00000 [1,5,3,6,4,2]=>[2,4,6,3,5,1]=>00000 [1,5,4,2,3,6]=>[6,3,2,4,5,1]=>00000 [1,5,4,2,6,3]=>[3,6,2,4,5,1]=>00000 [1,5,4,3,2,6]=>[6,2,3,4,5,1]=>00000 [1,5,4,3,6,2]=>[2,6,3,4,5,1]=>00000 [1,5,4,6,2,3]=>[3,2,6,4,5,1]=>00000 [1,5,4,6,3,2]=>[2,3,6,4,5,1]=>00000 [1,5,6,2,3,4]=>[4,3,2,6,5,1]=>00000 [1,5,6,2,4,3]=>[3,4,2,6,5,1]=>00000 [1,5,6,3,2,4]=>[4,2,3,6,5,1]=>00000 [1,5,6,3,4,2]=>[2,4,3,6,5,1]=>00000 [1,5,6,4,2,3]=>[3,2,4,6,5,1]=>00000 [1,5,6,4,3,2]=>[2,3,4,6,5,1]=>00000 [1,6,2,3,4,5]=>[5,4,3,2,6,1]=>00000 [1,6,2,3,5,4]=>[4,5,3,2,6,1]=>00000 [1,6,2,4,3,5]=>[5,3,4,2,6,1]=>00000 [1,6,2,4,5,3]=>[3,5,4,2,6,1]=>00000 [1,6,2,5,3,4]=>[4,3,5,2,6,1]=>00000 [1,6,2,5,4,3]=>[3,4,5,2,6,1]=>00000 [1,6,3,2,4,5]=>[5,4,2,3,6,1]=>00000 [1,6,3,2,5,4]=>[4,5,2,3,6,1]=>00000 [1,6,3,4,2,5]=>[5,2,4,3,6,1]=>00000 [1,6,3,4,5,2]=>[2,5,4,3,6,1]=>00000 [1,6,3,5,2,4]=>[4,2,5,3,6,1]=>00000 [1,6,3,5,4,2]=>[2,4,5,3,6,1]=>00000 [1,6,4,2,3,5]=>[5,3,2,4,6,1]=>00000 [1,6,4,2,5,3]=>[3,5,2,4,6,1]=>00000 [1,6,4,3,2,5]=>[5,2,3,4,6,1]=>00000 [1,6,4,3,5,2]=>[2,5,3,4,6,1]=>00000 [1,6,4,5,2,3]=>[3,2,5,4,6,1]=>00000 [1,6,4,5,3,2]=>[2,3,5,4,6,1]=>00000 [1,6,5,2,3,4]=>[4,3,2,5,6,1]=>00000 [1,6,5,2,4,3]=>[3,4,2,5,6,1]=>00000 [1,6,5,3,2,4]=>[4,2,3,5,6,1]=>00000 [1,6,5,3,4,2]=>[2,4,3,5,6,1]=>00000 [1,6,5,4,2,3]=>[3,2,4,5,6,1]=>00000 [1,6,5,4,3,2]=>[2,3,4,5,6,1]=>00000 [2,1,3,4,5,6]=>[6,5,4,3,1,2]=>00000 [2,1,3,4,6,5]=>[5,6,4,3,1,2]=>00000 [2,1,3,5,4,6]=>[6,4,5,3,1,2]=>00000 [2,1,3,5,6,4]=>[4,6,5,3,1,2]=>00000 [2,1,3,6,4,5]=>[5,4,6,3,1,2]=>00000 [2,1,3,6,5,4]=>[4,5,6,3,1,2]=>00000 [2,1,4,3,5,6]=>[6,5,3,4,1,2]=>00000 [2,1,4,3,6,5]=>[5,6,3,4,1,2]=>00000 [2,1,4,5,3,6]=>[6,3,5,4,1,2]=>00000 [2,1,4,5,6,3]=>[3,6,5,4,1,2]=>00000 [2,1,4,6,3,5]=>[5,3,6,4,1,2]=>00000 [2,1,4,6,5,3]=>[3,5,6,4,1,2]=>00000 [2,1,5,3,4,6]=>[6,4,3,5,1,2]=>00000 [2,1,5,3,6,4]=>[4,6,3,5,1,2]=>00000 [2,1,5,4,3,6]=>[6,3,4,5,1,2]=>00000 [2,1,5,4,6,3]=>[3,6,4,5,1,2]=>00000 [2,1,5,6,3,4]=>[4,3,6,5,1,2]=>00000 [2,1,5,6,4,3]=>[3,4,6,5,1,2]=>00000 [2,1,6,3,4,5]=>[5,4,3,6,1,2]=>00000 [2,1,6,3,5,4]=>[4,5,3,6,1,2]=>00000 [2,1,6,4,3,5]=>[5,3,4,6,1,2]=>00000 [2,1,6,4,5,3]=>[3,5,4,6,1,2]=>00000 [2,1,6,5,3,4]=>[4,3,5,6,1,2]=>00000 [2,1,6,5,4,3]=>[3,4,5,6,1,2]=>00000 [2,3,1,4,5,6]=>[6,5,4,1,3,2]=>00000 [2,3,1,4,6,5]=>[5,6,4,1,3,2]=>00000 [2,3,1,5,4,6]=>[6,4,5,1,3,2]=>00000 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[3,2,6,1,4,5]=>[5,4,1,6,2,3]=>00000 [3,2,6,1,5,4]=>[4,5,1,6,2,3]=>00000 [3,2,6,4,1,5]=>[5,1,4,6,2,3]=>00000 [3,2,6,4,5,1]=>[1,5,4,6,2,3]=>10000 [3,2,6,5,1,4]=>[4,1,5,6,2,3]=>00000 [3,2,6,5,4,1]=>[1,4,5,6,2,3]=>10000 [3,4,1,2,5,6]=>[6,5,2,1,4,3]=>00000 [3,4,1,2,6,5]=>[5,6,2,1,4,3]=>00000 [3,4,1,5,2,6]=>[6,2,5,1,4,3]=>00000 [3,4,1,5,6,2]=>[2,6,5,1,4,3]=>00000 [3,4,1,6,2,5]=>[5,2,6,1,4,3]=>00000 [3,4,1,6,5,2]=>[2,5,6,1,4,3]=>00000 [3,4,2,1,5,6]=>[6,5,1,2,4,3]=>00000 [3,4,2,1,6,5]=>[5,6,1,2,4,3]=>00000 [3,4,2,5,1,6]=>[6,1,5,2,4,3]=>00000 [3,4,2,5,6,1]=>[1,6,5,2,4,3]=>10000 [3,4,2,6,1,5]=>[5,1,6,2,4,3]=>00000 [3,4,2,6,5,1]=>[1,5,6,2,4,3]=>10000 [3,4,5,1,2,6]=>[6,2,1,5,4,3]=>00000 [3,4,5,1,6,2]=>[2,6,1,5,4,3]=>00000 [3,4,5,2,1,6]=>[6,1,2,5,4,3]=>00000 [3,4,5,2,6,1]=>[1,6,2,5,4,3]=>10000 [3,4,5,6,1,2]=>[2,1,6,5,4,3]=>01000 [3,4,5,6,2,1]=>[1,2,6,5,4,3]=>11000 [3,4,6,1,2,5]=>[5,2,1,6,4,3]=>00000 [3,4,6,1,5,2]=>[2,5,1,6,4,3]=>00000 [3,4,6,2,1,5]=>[5,1,2,6,4,3]=>00000 [3,4,6,2,5,1]=>[1,5,2,6,4,3]=>10000 [3,4,6,5,1,2]=>[2,1,5,6,4,3]=>01000 [3,4,6,5,2,1]=>[1,2,5,6,4,3]=>11000 [3,5,1,2,4,6]=>[6,4,2,1,5,3]=>00000 [3,5,1,2,6,4]=>[4,6,2,1,5,3]=>00000 [3,5,1,4,2,6]=>[6,2,4,1,5,3]=>00000 [3,5,1,4,6,2]=>[2,6,4,1,5,3]=>00000 [3,5,1,6,2,4]=>[4,2,6,1,5,3]=>00000 [3,5,1,6,4,2]=>[2,4,6,1,5,3]=>00000 [3,5,2,1,4,6]=>[6,4,1,2,5,3]=>00000 [3,5,2,1,6,4]=>[4,6,1,2,5,3]=>00000 [3,5,2,4,1,6]=>[6,1,4,2,5,3]=>00000 [3,5,2,4,6,1]=>[1,6,4,2,5,3]=>10000 [3,5,2,6,1,4]=>[4,1,6,2,5,3]=>00000 [3,5,2,6,4,1]=>[1,4,6,2,5,3]=>10000 [3,5,4,1,2,6]=>[6,2,1,4,5,3]=>00000 [3,5,4,1,6,2]=>[2,6,1,4,5,3]=>00000 [3,5,4,2,1,6]=>[6,1,2,4,5,3]=>00000 [3,5,4,2,6,1]=>[1,6,2,4,5,3]=>10000 [3,5,4,6,1,2]=>[2,1,6,4,5,3]=>01000 [3,5,4,6,2,1]=>[1,2,6,4,5,3]=>11000 [3,5,6,1,2,4]=>[4,2,1,6,5,3]=>00000 [3,5,6,1,4,2]=>[2,4,1,6,5,3]=>00000 [3,5,6,2,1,4]=>[4,1,2,6,5,3]=>00000 [3,5,6,2,4,1]=>[1,4,2,6,5,3]=>10000 [3,5,6,4,1,2]=>[2,1,4,6,5,3]=>01000 [3,5,6,4,2,1]=>[1,2,4,6,5,3]=>11000 [3,6,1,2,4,5]=>[5,4,2,1,6,3]=>00000 [3,6,1,2,5,4]=>[4,5,2,1,6,3]=>00000 [3,6,1,4,2,5]=>[5,2,4,1,6,3]=>00000 [3,6,1,4,5,2]=>[2,5,4,1,6,3]=>00000 [3,6,1,5,2,4]=>[4,2,5,1,6,3]=>00000 [3,6,1,5,4,2]=>[2,4,5,1,6,3]=>00000 [3,6,2,1,4,5]=>[5,4,1,2,6,3]=>00000 [3,6,2,1,5,4]=>[4,5,1,2,6,3]=>00000 [3,6,2,4,1,5]=>[5,1,4,2,6,3]=>00000 [3,6,2,4,5,1]=>[1,5,4,2,6,3]=>10000 [3,6,2,5,1,4]=>[4,1,5,2,6,3]=>00000 [3,6,2,5,4,1]=>[1,4,5,2,6,3]=>10000 [3,6,4,1,2,5]=>[5,2,1,4,6,3]=>00000 [3,6,4,1,5,2]=>[2,5,1,4,6,3]=>00000 [3,6,4,2,1,5]=>[5,1,2,4,6,3]=>00000 [3,6,4,2,5,1]=>[1,5,2,4,6,3]=>10000 [3,6,4,5,1,2]=>[2,1,5,4,6,3]=>01000 [3,6,4,5,2,1]=>[1,2,5,4,6,3]=>11000 [3,6,5,1,2,4]=>[4,2,1,5,6,3]=>00000 [3,6,5,1,4,2]=>[2,4,1,5,6,3]=>00000 [3,6,5,2,1,4]=>[4,1,2,5,6,3]=>00000 [3,6,5,2,4,1]=>[1,4,2,5,6,3]=>10000 [3,6,5,4,1,2]=>[2,1,4,5,6,3]=>01000 [3,6,5,4,2,1]=>[1,2,4,5,6,3]=>11000 [4,1,2,3,5,6]=>[6,5,3,2,1,4]=>00000 [4,1,2,3,6,5]=>[5,6,3,2,1,4]=>00000 [4,1,2,5,3,6]=>[6,3,5,2,1,4]=>00000 [4,1,2,5,6,3]=>[3,6,5,2,1,4]=>00000 [4,1,2,6,3,5]=>[5,3,6,2,1,4]=>00000 [4,1,2,6,5,3]=>[3,5,6,2,1,4]=>00000 [4,1,3,2,5,6]=>[6,5,2,3,1,4]=>00000 [4,1,3,2,6,5]=>[5,6,2,3,1,4]=>00000 [4,1,3,5,2,6]=>[6,2,5,3,1,4]=>00000 [4,1,3,5,6,2]=>[2,6,5,3,1,4]=>00000 [4,1,3,6,2,5]=>[5,2,6,3,1,4]=>00000 [4,1,3,6,5,2]=>[2,5,6,3,1,4]=>00000 [4,1,5,2,3,6]=>[6,3,2,5,1,4]=>00000 [4,1,5,2,6,3]=>[3,6,2,5,1,4]=>00000 [4,1,5,3,2,6]=>[6,2,3,5,1,4]=>00000 [4,1,5,3,6,2]=>[2,6,3,5,1,4]=>00000 [4,1,5,6,2,3]=>[3,2,6,5,1,4]=>00000 [4,1,5,6,3,2]=>[2,3,6,5,1,4]=>00000 [4,1,6,2,3,5]=>[5,3,2,6,1,4]=>00000 [4,1,6,2,5,3]=>[3,5,2,6,1,4]=>00000 [4,1,6,3,2,5]=>[5,2,3,6,1,4]=>00000 [4,1,6,3,5,2]=>[2,5,3,6,1,4]=>00000 [4,1,6,5,2,3]=>[3,2,5,6,1,4]=>00000 [4,1,6,5,3,2]=>[2,3,5,6,1,4]=>00000 [4,2,1,3,5,6]=>[6,5,3,1,2,4]=>00000 [4,2,1,3,6,5]=>[5,6,3,1,2,4]=>00000 [4,2,1,5,3,6]=>[6,3,5,1,2,4]=>00000 [4,2,1,5,6,3]=>[3,6,5,1,2,4]=>00000 [4,2,1,6,3,5]=>[5,3,6,1,2,4]=>00000 [4,2,1,6,5,3]=>[3,5,6,1,2,4]=>00000 [4,2,3,1,5,6]=>[6,5,1,3,2,4]=>00000 [4,2,3,1,6,5]=>[5,6,1,3,2,4]=>00000 [4,2,3,5,1,6]=>[6,1,5,3,2,4]=>00000 [4,2,3,5,6,1]=>[1,6,5,3,2,4]=>10000 [4,2,3,6,1,5]=>[5,1,6,3,2,4]=>00000 [4,2,3,6,5,1]=>[1,5,6,3,2,4]=>10000 [4,2,5,1,3,6]=>[6,3,1,5,2,4]=>00000 [4,2,5,1,6,3]=>[3,6,1,5,2,4]=>00000 [4,2,5,3,1,6]=>[6,1,3,5,2,4]=>00000 [4,2,5,3,6,1]=>[1,6,3,5,2,4]=>10000 [4,2,5,6,1,3]=>[3,1,6,5,2,4]=>00000 [4,2,5,6,3,1]=>[1,3,6,5,2,4]=>10000 [4,2,6,1,3,5]=>[5,3,1,6,2,4]=>00000 [4,2,6,1,5,3]=>[3,5,1,6,2,4]=>00000 [4,2,6,3,1,5]=>[5,1,3,6,2,4]=>00000 [4,2,6,3,5,1]=>[1,5,3,6,2,4]=>10000 [4,2,6,5,1,3]=>[3,1,5,6,2,4]=>00000 [4,2,6,5,3,1]=>[1,3,5,6,2,4]=>10000 [4,3,1,2,5,6]=>[6,5,2,1,3,4]=>00000 [4,3,1,2,6,5]=>[5,6,2,1,3,4]=>00000 [4,3,1,5,2,6]=>[6,2,5,1,3,4]=>00000 [4,3,1,5,6,2]=>[2,6,5,1,3,4]=>00000 [4,3,1,6,2,5]=>[5,2,6,1,3,4]=>00000 [4,3,1,6,5,2]=>[2,5,6,1,3,4]=>00000 [4,3,2,1,5,6]=>[6,5,1,2,3,4]=>00000 [4,3,2,1,6,5]=>[5,6,1,2,3,4]=>00000 [4,3,2,5,1,6]=>[6,1,5,2,3,4]=>00000 [4,3,2,5,6,1]=>[1,6,5,2,3,4]=>10000 [4,3,2,6,1,5]=>[5,1,6,2,3,4]=>00000 [4,3,2,6,5,1]=>[1,5,6,2,3,4]=>10000 [4,3,5,1,2,6]=>[6,2,1,5,3,4]=>00000 [4,3,5,1,6,2]=>[2,6,1,5,3,4]=>00000 [4,3,5,2,1,6]=>[6,1,2,5,3,4]=>00000 [4,3,5,2,6,1]=>[1,6,2,5,3,4]=>10000 [4,3,5,6,1,2]=>[2,1,6,5,3,4]=>01000 [4,3,5,6,2,1]=>[1,2,6,5,3,4]=>11000 [4,3,6,1,2,5]=>[5,2,1,6,3,4]=>00000 [4,3,6,1,5,2]=>[2,5,1,6,3,4]=>00000 [4,3,6,2,1,5]=>[5,1,2,6,3,4]=>00000 [4,3,6,2,5,1]=>[1,5,2,6,3,4]=>10000 [4,3,6,5,1,2]=>[2,1,5,6,3,4]=>01000 [4,3,6,5,2,1]=>[1,2,5,6,3,4]=>11000 [4,5,1,2,3,6]=>[6,3,2,1,5,4]=>00000 [4,5,1,2,6,3]=>[3,6,2,1,5,4]=>00000 [4,5,1,3,2,6]=>[6,2,3,1,5,4]=>00000 [4,5,1,3,6,2]=>[2,6,3,1,5,4]=>00000 [4,5,1,6,2,3]=>[3,2,6,1,5,4]=>00000 [4,5,1,6,3,2]=>[2,3,6,1,5,4]=>00000 [4,5,2,1,3,6]=>[6,3,1,2,5,4]=>00000 [4,5,2,1,6,3]=>[3,6,1,2,5,4]=>00000 [4,5,2,3,1,6]=>[6,1,3,2,5,4]=>00000 [4,5,2,3,6,1]=>[1,6,3,2,5,4]=>10000 [4,5,2,6,1,3]=>[3,1,6,2,5,4]=>00000 [4,5,2,6,3,1]=>[1,3,6,2,5,4]=>10000 [4,5,3,1,2,6]=>[6,2,1,3,5,4]=>00000 [4,5,3,1,6,2]=>[2,6,1,3,5,4]=>00000 [4,5,3,2,1,6]=>[6,1,2,3,5,4]=>00000 [4,5,3,2,6,1]=>[1,6,2,3,5,4]=>10000 [4,5,3,6,1,2]=>[2,1,6,3,5,4]=>01000 [4,5,3,6,2,1]=>[1,2,6,3,5,4]=>11000 [4,5,6,1,2,3]=>[3,2,1,6,5,4]=>00100 [4,5,6,1,3,2]=>[2,3,1,6,5,4]=>00100 [4,5,6,2,1,3]=>[3,1,2,6,5,4]=>00100 [4,5,6,2,3,1]=>[1,3,2,6,5,4]=>10100 [4,5,6,3,1,2]=>[2,1,3,6,5,4]=>01100 [4,5,6,3,2,1]=>[1,2,3,6,5,4]=>11100 [4,6,1,2,3,5]=>[5,3,2,1,6,4]=>00000 [4,6,1,2,5,3]=>[3,5,2,1,6,4]=>00000 [4,6,1,3,2,5]=>[5,2,3,1,6,4]=>00000 [4,6,1,3,5,2]=>[2,5,3,1,6,4]=>00000 [4,6,1,5,2,3]=>[3,2,5,1,6,4]=>00000 [4,6,1,5,3,2]=>[2,3,5,1,6,4]=>00000 [4,6,2,1,3,5]=>[5,3,1,2,6,4]=>00000 [4,6,2,1,5,3]=>[3,5,1,2,6,4]=>00000 [4,6,2,3,1,5]=>[5,1,3,2,6,4]=>00000 [4,6,2,3,5,1]=>[1,5,3,2,6,4]=>10000 [4,6,2,5,1,3]=>[3,1,5,2,6,4]=>00000 [4,6,2,5,3,1]=>[1,3,5,2,6,4]=>10000 [4,6,3,1,2,5]=>[5,2,1,3,6,4]=>00000 [4,6,3,1,5,2]=>[2,5,1,3,6,4]=>00000 [4,6,3,2,1,5]=>[5,1,2,3,6,4]=>00000 [4,6,3,2,5,1]=>[1,5,2,3,6,4]=>10000 [4,6,3,5,1,2]=>[2,1,5,3,6,4]=>01000 [4,6,3,5,2,1]=>[1,2,5,3,6,4]=>11000 [4,6,5,1,2,3]=>[3,2,1,5,6,4]=>00100 [4,6,5,1,3,2]=>[2,3,1,5,6,4]=>00100 [4,6,5,2,1,3]=>[3,1,2,5,6,4]=>00100 [4,6,5,2,3,1]=>[1,3,2,5,6,4]=>10100 [4,6,5,3,1,2]=>[2,1,3,5,6,4]=>01100 [4,6,5,3,2,1]=>[1,2,3,5,6,4]=>11100 [5,1,2,3,4,6]=>[6,4,3,2,1,5]=>00000 [5,1,2,3,6,4]=>[4,6,3,2,1,5]=>00000 [5,1,2,4,3,6]=>[6,3,4,2,1,5]=>00000 [5,1,2,4,6,3]=>[3,6,4,2,1,5]=>00000 [5,1,2,6,3,4]=>[4,3,6,2,1,5]=>00000 [5,1,2,6,4,3]=>[3,4,6,2,1,5]=>00000 [5,1,3,2,4,6]=>[6,4,2,3,1,5]=>00000 [5,1,3,2,6,4]=>[4,6,2,3,1,5]=>00000 [5,1,3,4,2,6]=>[6,2,4,3,1,5]=>00000 [5,1,3,4,6,2]=>[2,6,4,3,1,5]=>00000 [5,1,3,6,2,4]=>[4,2,6,3,1,5]=>00000 [5,1,3,6,4,2]=>[2,4,6,3,1,5]=>00000 [5,1,4,2,3,6]=>[6,3,2,4,1,5]=>00000 [5,1,4,2,6,3]=>[3,6,2,4,1,5]=>00000 [5,1,4,3,2,6]=>[6,2,3,4,1,5]=>00000 [5,1,4,3,6,2]=>[2,6,3,4,1,5]=>00000 [5,1,4,6,2,3]=>[3,2,6,4,1,5]=>00000 [5,1,4,6,3,2]=>[2,3,6,4,1,5]=>00000 [5,1,6,2,3,4]=>[4,3,2,6,1,5]=>00000 [5,1,6,2,4,3]=>[3,4,2,6,1,5]=>00000 [5,1,6,3,2,4]=>[4,2,3,6,1,5]=>00000 [5,1,6,3,4,2]=>[2,4,3,6,1,5]=>00000 [5,1,6,4,2,3]=>[3,2,4,6,1,5]=>00000 [5,1,6,4,3,2]=>[2,3,4,6,1,5]=>00000 [5,2,1,3,4,6]=>[6,4,3,1,2,5]=>00000 [5,2,1,3,6,4]=>[4,6,3,1,2,5]=>00000 [5,2,1,4,3,6]=>[6,3,4,1,2,5]=>00000 [5,2,1,4,6,3]=>[3,6,4,1,2,5]=>00000 [5,2,1,6,3,4]=>[4,3,6,1,2,5]=>00000 [5,2,1,6,4,3]=>[3,4,6,1,2,5]=>00000 [5,2,3,1,4,6]=>[6,4,1,3,2,5]=>00000 [5,2,3,1,6,4]=>[4,6,1,3,2,5]=>00000 [5,2,3,4,1,6]=>[6,1,4,3,2,5]=>00000 [5,2,3,4,6,1]=>[1,6,4,3,2,5]=>10000 [5,2,3,6,1,4]=>[4,1,6,3,2,5]=>00000 [5,2,3,6,4,1]=>[1,4,6,3,2,5]=>10000 [5,2,4,1,3,6]=>[6,3,1,4,2,5]=>00000 [5,2,4,1,6,3]=>[3,6,1,4,2,5]=>00000 [5,2,4,3,1,6]=>[6,1,3,4,2,5]=>00000 [5,2,4,3,6,1]=>[1,6,3,4,2,5]=>10000 [5,2,4,6,1,3]=>[3,1,6,4,2,5]=>00000 [5,2,4,6,3,1]=>[1,3,6,4,2,5]=>10000 [5,2,6,1,3,4]=>[4,3,1,6,2,5]=>00000 [5,2,6,1,4,3]=>[3,4,1,6,2,5]=>00000 [5,2,6,3,1,4]=>[4,1,3,6,2,5]=>00000 [5,2,6,3,4,1]=>[1,4,3,6,2,5]=>10000 [5,2,6,4,1,3]=>[3,1,4,6,2,5]=>00000 [5,2,6,4,3,1]=>[1,3,4,6,2,5]=>10000 [5,3,1,2,4,6]=>[6,4,2,1,3,5]=>00000 [5,3,1,2,6,4]=>[4,6,2,1,3,5]=>00000 [5,3,1,4,2,6]=>[6,2,4,1,3,5]=>00000 [5,3,1,4,6,2]=>[2,6,4,1,3,5]=>00000 [5,3,1,6,2,4]=>[4,2,6,1,3,5]=>00000 [5,3,1,6,4,2]=>[2,4,6,1,3,5]=>00000 [5,3,2,1,4,6]=>[6,4,1,2,3,5]=>00000 [5,3,2,1,6,4]=>[4,6,1,2,3,5]=>00000 [5,3,2,4,1,6]=>[6,1,4,2,3,5]=>00000 [5,3,2,4,6,1]=>[1,6,4,2,3,5]=>10000 [5,3,2,6,1,4]=>[4,1,6,2,3,5]=>00000 [5,3,2,6,4,1]=>[1,4,6,2,3,5]=>10000 [5,3,4,1,2,6]=>[6,2,1,4,3,5]=>00000 [5,3,4,1,6,2]=>[2,6,1,4,3,5]=>00000 [5,3,4,2,1,6]=>[6,1,2,4,3,5]=>00000 [5,3,4,2,6,1]=>[1,6,2,4,3,5]=>10000 [5,3,4,6,1,2]=>[2,1,6,4,3,5]=>01000 [5,3,4,6,2,1]=>[1,2,6,4,3,5]=>11000 [5,3,6,1,2,4]=>[4,2,1,6,3,5]=>00000 [5,3,6,1,4,2]=>[2,4,1,6,3,5]=>00000 [5,3,6,2,1,4]=>[4,1,2,6,3,5]=>00000 [5,3,6,2,4,1]=>[1,4,2,6,3,5]=>10000 [5,3,6,4,1,2]=>[2,1,4,6,3,5]=>01000 [5,3,6,4,2,1]=>[1,2,4,6,3,5]=>11000 [5,4,1,2,3,6]=>[6,3,2,1,4,5]=>00000 [5,4,1,2,6,3]=>[3,6,2,1,4,5]=>00000 [5,4,1,3,2,6]=>[6,2,3,1,4,5]=>00000 [5,4,1,3,6,2]=>[2,6,3,1,4,5]=>00000 [5,4,1,6,2,3]=>[3,2,6,1,4,5]=>00000 [5,4,1,6,3,2]=>[2,3,6,1,4,5]=>00000 [5,4,2,1,3,6]=>[6,3,1,2,4,5]=>00000 [5,4,2,1,6,3]=>[3,6,1,2,4,5]=>00000 [5,4,2,3,1,6]=>[6,1,3,2,4,5]=>00000 [5,4,2,3,6,1]=>[1,6,3,2,4,5]=>10000 [5,4,2,6,1,3]=>[3,1,6,2,4,5]=>00000 [5,4,2,6,3,1]=>[1,3,6,2,4,5]=>10000 [5,4,3,1,2,6]=>[6,2,1,3,4,5]=>00000 [5,4,3,1,6,2]=>[2,6,1,3,4,5]=>00000 [5,4,3,2,1,6]=>[6,1,2,3,4,5]=>00000 [5,4,3,2,6,1]=>[1,6,2,3,4,5]=>10000 [5,4,3,6,1,2]=>[2,1,6,3,4,5]=>01000 [5,4,3,6,2,1]=>[1,2,6,3,4,5]=>11000 [5,4,6,1,2,3]=>[3,2,1,6,4,5]=>00100 [5,4,6,1,3,2]=>[2,3,1,6,4,5]=>00100 [5,4,6,2,1,3]=>[3,1,2,6,4,5]=>00100 [5,4,6,2,3,1]=>[1,3,2,6,4,5]=>10100 [5,4,6,3,1,2]=>[2,1,3,6,4,5]=>01100 [5,4,6,3,2,1]=>[1,2,3,6,4,5]=>11100 [5,6,1,2,3,4]=>[4,3,2,1,6,5]=>00010 [5,6,1,2,4,3]=>[3,4,2,1,6,5]=>00010 [5,6,1,3,2,4]=>[4,2,3,1,6,5]=>00010 [5,6,1,3,4,2]=>[2,4,3,1,6,5]=>00010 [5,6,1,4,2,3]=>[3,2,4,1,6,5]=>00010 [5,6,1,4,3,2]=>[2,3,4,1,6,5]=>00010 [5,6,2,1,3,4]=>[4,3,1,2,6,5]=>00010 [5,6,2,1,4,3]=>[3,4,1,2,6,5]=>00010 [5,6,2,3,1,4]=>[4,1,3,2,6,5]=>00010 [5,6,2,3,4,1]=>[1,4,3,2,6,5]=>10010 [5,6,2,4,1,3]=>[3,1,4,2,6,5]=>00010 [5,6,2,4,3,1]=>[1,3,4,2,6,5]=>10010 [5,6,3,1,2,4]=>[4,2,1,3,6,5]=>00010 [5,6,3,1,4,2]=>[2,4,1,3,6,5]=>00010 [5,6,3,2,1,4]=>[4,1,2,3,6,5]=>00010 [5,6,3,2,4,1]=>[1,4,2,3,6,5]=>10010 [5,6,3,4,1,2]=>[2,1,4,3,6,5]=>01010 [5,6,3,4,2,1]=>[1,2,4,3,6,5]=>11010 [5,6,4,1,2,3]=>[3,2,1,4,6,5]=>00110 [5,6,4,1,3,2]=>[2,3,1,4,6,5]=>00110 [5,6,4,2,1,3]=>[3,1,2,4,6,5]=>00110 [5,6,4,2,3,1]=>[1,3,2,4,6,5]=>10110 [5,6,4,3,1,2]=>[2,1,3,4,6,5]=>01110 [5,6,4,3,2,1]=>[1,2,3,4,6,5]=>11110 [6,1,2,3,4,5]=>[5,4,3,2,1,6]=>00001 [6,1,2,3,5,4]=>[4,5,3,2,1,6]=>00001 [6,1,2,4,3,5]=>[5,3,4,2,1,6]=>00001 [6,1,2,4,5,3]=>[3,5,4,2,1,6]=>00001 [6,1,2,5,3,4]=>[4,3,5,2,1,6]=>00001 [6,1,2,5,4,3]=>[3,4,5,2,1,6]=>00001 [6,1,3,2,4,5]=>[5,4,2,3,1,6]=>00001 [6,1,3,2,5,4]=>[4,5,2,3,1,6]=>00001 [6,1,3,4,2,5]=>[5,2,4,3,1,6]=>00001 [6,1,3,4,5,2]=>[2,5,4,3,1,6]=>00001 [6,1,3,5,2,4]=>[4,2,5,3,1,6]=>00001 [6,1,3,5,4,2]=>[2,4,5,3,1,6]=>00001 [6,1,4,2,3,5]=>[5,3,2,4,1,6]=>00001 [6,1,4,2,5,3]=>[3,5,2,4,1,6]=>00001 [6,1,4,3,2,5]=>[5,2,3,4,1,6]=>00001 [6,1,4,3,5,2]=>[2,5,3,4,1,6]=>00001 [6,1,4,5,2,3]=>[3,2,5,4,1,6]=>00001 [6,1,4,5,3,2]=>[2,3,5,4,1,6]=>00001 [6,1,5,2,3,4]=>[4,3,2,5,1,6]=>00001 [6,1,5,2,4,3]=>[3,4,2,5,1,6]=>00001 [6,1,5,3,2,4]=>[4,2,3,5,1,6]=>00001 [6,1,5,3,4,2]=>[2,4,3,5,1,6]=>00001 [6,1,5,4,2,3]=>[3,2,4,5,1,6]=>00001 [6,1,5,4,3,2]=>[2,3,4,5,1,6]=>00001 [6,2,1,3,4,5]=>[5,4,3,1,2,6]=>00001 [6,2,1,3,5,4]=>[4,5,3,1,2,6]=>00001 [6,2,1,4,3,5]=>[5,3,4,1,2,6]=>00001 [6,2,1,4,5,3]=>[3,5,4,1,2,6]=>00001 [6,2,1,5,3,4]=>[4,3,5,1,2,6]=>00001 [6,2,1,5,4,3]=>[3,4,5,1,2,6]=>00001 [6,2,3,1,4,5]=>[5,4,1,3,2,6]=>00001 [6,2,3,1,5,4]=>[4,5,1,3,2,6]=>00001 [6,2,3,4,1,5]=>[5,1,4,3,2,6]=>00001 [6,2,3,4,5,1]=>[1,5,4,3,2,6]=>10001 [6,2,3,5,1,4]=>[4,1,5,3,2,6]=>00001 [6,2,3,5,4,1]=>[1,4,5,3,2,6]=>10001 [6,2,4,1,3,5]=>[5,3,1,4,2,6]=>00001 [6,2,4,1,5,3]=>[3,5,1,4,2,6]=>00001 [6,2,4,3,1,5]=>[5,1,3,4,2,6]=>00001 [6,2,4,3,5,1]=>[1,5,3,4,2,6]=>10001 [6,2,4,5,1,3]=>[3,1,5,4,2,6]=>00001 [6,2,4,5,3,1]=>[1,3,5,4,2,6]=>10001 [6,2,5,1,3,4]=>[4,3,1,5,2,6]=>00001 [6,2,5,1,4,3]=>[3,4,1,5,2,6]=>00001 [6,2,5,3,1,4]=>[4,1,3,5,2,6]=>00001 [6,2,5,3,4,1]=>[1,4,3,5,2,6]=>10001 [6,2,5,4,1,3]=>[3,1,4,5,2,6]=>00001 [6,2,5,4,3,1]=>[1,3,4,5,2,6]=>10001 [6,3,1,2,4,5]=>[5,4,2,1,3,6]=>00001 [6,3,1,2,5,4]=>[4,5,2,1,3,6]=>00001 [6,3,1,4,2,5]=>[5,2,4,1,3,6]=>00001 [6,3,1,4,5,2]=>[2,5,4,1,3,6]=>00001 [6,3,1,5,2,4]=>[4,2,5,1,3,6]=>00001 [6,3,1,5,4,2]=>[2,4,5,1,3,6]=>00001 [6,3,2,1,4,5]=>[5,4,1,2,3,6]=>00001 [6,3,2,1,5,4]=>[4,5,1,2,3,6]=>00001 [6,3,2,4,1,5]=>[5,1,4,2,3,6]=>00001 [6,3,2,4,5,1]=>[1,5,4,2,3,6]=>10001 [6,3,2,5,1,4]=>[4,1,5,2,3,6]=>00001 [6,3,2,5,4,1]=>[1,4,5,2,3,6]=>10001 [6,3,4,1,2,5]=>[5,2,1,4,3,6]=>00001 [6,3,4,1,5,2]=>[2,5,1,4,3,6]=>00001 [6,3,4,2,1,5]=>[5,1,2,4,3,6]=>00001 [6,3,4,2,5,1]=>[1,5,2,4,3,6]=>10001 [6,3,4,5,1,2]=>[2,1,5,4,3,6]=>01001 [6,3,4,5,2,1]=>[1,2,5,4,3,6]=>11001 [6,3,5,1,2,4]=>[4,2,1,5,3,6]=>00001 [6,3,5,1,4,2]=>[2,4,1,5,3,6]=>00001 [6,3,5,2,1,4]=>[4,1,2,5,3,6]=>00001 [6,3,5,2,4,1]=>[1,4,2,5,3,6]=>10001 [6,3,5,4,1,2]=>[2,1,4,5,3,6]=>01001 [6,3,5,4,2,1]=>[1,2,4,5,3,6]=>11001 [6,4,1,2,3,5]=>[5,3,2,1,4,6]=>00001 [6,4,1,2,5,3]=>[3,5,2,1,4,6]=>00001 [6,4,1,3,2,5]=>[5,2,3,1,4,6]=>00001 [6,4,1,3,5,2]=>[2,5,3,1,4,6]=>00001 [6,4,1,5,2,3]=>[3,2,5,1,4,6]=>00001 [6,4,1,5,3,2]=>[2,3,5,1,4,6]=>00001 [6,4,2,1,3,5]=>[5,3,1,2,4,6]=>00001 [6,4,2,1,5,3]=>[3,5,1,2,4,6]=>00001 [6,4,2,3,1,5]=>[5,1,3,2,4,6]=>00001 [6,4,2,3,5,1]=>[1,5,3,2,4,6]=>10001 [6,4,2,5,1,3]=>[3,1,5,2,4,6]=>00001 [6,4,2,5,3,1]=>[1,3,5,2,4,6]=>10001 [6,4,3,1,2,5]=>[5,2,1,3,4,6]=>00001 [6,4,3,1,5,2]=>[2,5,1,3,4,6]=>00001 [6,4,3,2,1,5]=>[5,1,2,3,4,6]=>00001 [6,4,3,2,5,1]=>[1,5,2,3,4,6]=>10001 [6,4,3,5,1,2]=>[2,1,5,3,4,6]=>01001 [6,4,3,5,2,1]=>[1,2,5,3,4,6]=>11001 [6,4,5,1,2,3]=>[3,2,1,5,4,6]=>00101 [6,4,5,1,3,2]=>[2,3,1,5,4,6]=>00101 [6,4,5,2,1,3]=>[3,1,2,5,4,6]=>00101 [6,4,5,2,3,1]=>[1,3,2,5,4,6]=>10101 [6,4,5,3,1,2]=>[2,1,3,5,4,6]=>01101 [6,4,5,3,2,1]=>[1,2,3,5,4,6]=>11101 [6,5,1,2,3,4]=>[4,3,2,1,5,6]=>00011 [6,5,1,2,4,3]=>[3,4,2,1,5,6]=>00011 [6,5,1,3,2,4]=>[4,2,3,1,5,6]=>00011 [6,5,1,3,4,2]=>[2,4,3,1,5,6]=>00011 [6,5,1,4,2,3]=>[3,2,4,1,5,6]=>00011 [6,5,1,4,3,2]=>[2,3,4,1,5,6]=>00011 [6,5,2,1,3,4]=>[4,3,1,2,5,6]=>00011 [6,5,2,1,4,3]=>[3,4,1,2,5,6]=>00011 [6,5,2,3,1,4]=>[4,1,3,2,5,6]=>00011 [6,5,2,3,4,1]=>[1,4,3,2,5,6]=>10011 [6,5,2,4,1,3]=>[3,1,4,2,5,6]=>00011 [6,5,2,4,3,1]=>[1,3,4,2,5,6]=>10011 [6,5,3,1,2,4]=>[4,2,1,3,5,6]=>00011 [6,5,3,1,4,2]=>[2,4,1,3,5,6]=>00011 [6,5,3,2,1,4]=>[4,1,2,3,5,6]=>00011 [6,5,3,2,4,1]=>[1,4,2,3,5,6]=>10011 [6,5,3,4,1,2]=>[2,1,4,3,5,6]=>01011 [6,5,3,4,2,1]=>[1,2,4,3,5,6]=>11011 [6,5,4,1,2,3]=>[3,2,1,4,5,6]=>00111 [6,5,4,1,3,2]=>[2,3,1,4,5,6]=>00111 [6,5,4,2,1,3]=>[3,1,2,4,5,6]=>00111 [6,5,4,2,3,1]=>[1,3,2,4,5,6]=>10111 [6,5,4,3,1,2]=>[2,1,3,4,5,6]=>01111 [6,5,4,3,2,1]=>[1,2,3,4,5,6]=>11111 [1,2,3,4,5,6,7]=>[7,6,5,4,3,2,1]=>000000 [1,2,3,4,5,7,6]=>[6,7,5,4,3,2,1]=>000000 [1,2,3,4,6,5,7]=>[7,5,6,4,3,2,1]=>000000 [1,2,3,4,6,7,5]=>[5,7,6,4,3,2,1]=>000000 [1,2,3,4,7,5,6]=>[6,5,7,4,3,2,1]=>000000 [1,2,3,4,7,6,5]=>[5,6,7,4,3,2,1]=>000000 [1,2,3,5,4,6,7]=>[7,6,4,5,3,2,1]=>000000 [1,2,3,5,4,7,6]=>[6,7,4,5,3,2,1]=>000000 [1,2,3,5,6,4,7]=>[7,4,6,5,3,2,1]=>000000 [1,2,3,5,6,7,4]=>[4,7,6,5,3,2,1]=>000000 [1,2,3,5,7,4,6]=>[6,4,7,5,3,2,1]=>000000 [1,2,3,5,7,6,4]=>[4,6,7,5,3,2,1]=>000000 [1,2,3,6,4,5,7]=>[7,5,4,6,3,2,1]=>000000 [1,2,3,6,4,7,5]=>[5,7,4,6,3,2,1]=>000000 [1,2,3,6,5,4,7]=>[7,4,5,6,3,2,1]=>000000 [1,2,3,6,5,7,4]=>[4,7,5,6,3,2,1]=>000000 [1,2,3,6,7,4,5]=>[5,4,7,6,3,2,1]=>000000 [1,2,3,6,7,5,4]=>[4,5,7,6,3,2,1]=>000000 [1,2,3,7,4,5,6]=>[6,5,4,7,3,2,1]=>000000 [1,2,3,7,4,6,5]=>[5,6,4,7,3,2,1]=>000000 [1,2,3,7,5,4,6]=>[6,4,5,7,3,2,1]=>000000 [1,2,3,7,5,6,4]=>[4,6,5,7,3,2,1]=>000000 [1,2,3,7,6,4,5]=>[5,4,6,7,3,2,1]=>000000 [1,2,3,7,6,5,4]=>[4,5,6,7,3,2,1]=>000000 [1,2,4,3,5,6,7]=>[7,6,5,3,4,2,1]=>000000 [1,2,4,3,5,7,6]=>[6,7,5,3,4,2,1]=>000000 [1,2,4,3,6,5,7]=>[7,5,6,3,4,2,1]=>000000 [1,2,4,3,6,7,5]=>[5,7,6,3,4,2,1]=>000000 [1,2,4,3,7,5,6]=>[6,5,7,3,4,2,1]=>000000 [1,2,4,3,7,6,5]=>[5,6,7,3,4,2,1]=>000000 [1,2,4,5,3,6,7]=>[7,6,3,5,4,2,1]=>000000 [1,2,4,5,3,7,6]=>[6,7,3,5,4,2,1]=>000000 [1,2,4,5,6,3,7]=>[7,3,6,5,4,2,1]=>000000 [1,2,4,5,6,7,3]=>[3,7,6,5,4,2,1]=>000000 [1,2,4,5,7,3,6]=>[6,3,7,5,4,2,1]=>000000 [1,2,4,5,7,6,3]=>[3,6,7,5,4,2,1]=>000000 [1,2,4,6,3,5,7]=>[7,5,3,6,4,2,1]=>000000 [1,2,4,6,3,7,5]=>[5,7,3,6,4,2,1]=>000000 [1,2,4,6,5,3,7]=>[7,3,5,6,4,2,1]=>000000 [1,2,4,6,5,7,3]=>[3,7,5,6,4,2,1]=>000000 [1,2,4,6,7,3,5]=>[5,3,7,6,4,2,1]=>000000 [1,2,4,6,7,5,3]=>[3,5,7,6,4,2,1]=>000000 [1,2,4,7,3,5,6]=>[6,5,3,7,4,2,1]=>000000 [1,2,4,7,3,6,5]=>[5,6,3,7,4,2,1]=>000000 [1,2,4,7,5,3,6]=>[6,3,5,7,4,2,1]=>000000 [1,2,4,7,5,6,3]=>[3,6,5,7,4,2,1]=>000000 [1,2,4,7,6,3,5]=>[5,3,6,7,4,2,1]=>000000 [1,2,4,7,6,5,3]=>[3,5,6,7,4,2,1]=>000000 [1,2,5,3,4,6,7]=>[7,6,4,3,5,2,1]=>000000 [1,2,5,3,4,7,6]=>[6,7,4,3,5,2,1]=>000000 [1,2,5,3,6,4,7]=>[7,4,6,3,5,2,1]=>000000 [1,2,5,3,6,7,4]=>[4,7,6,3,5,2,1]=>000000 [1,2,5,3,7,4,6]=>[6,4,7,3,5,2,1]=>000000 [1,2,5,3,7,6,4]=>[4,6,7,3,5,2,1]=>000000 [1,2,5,4,3,6,7]=>[7,6,3,4,5,2,1]=>000000 [1,2,5,4,3,7,6]=>[6,7,3,4,5,2,1]=>000000 [1,2,5,4,6,3,7]=>[7,3,6,4,5,2,1]=>000000 [1,2,5,4,6,7,3]=>[3,7,6,4,5,2,1]=>000000 [1,2,5,4,7,3,6]=>[6,3,7,4,5,2,1]=>000000 [1,2,5,4,7,6,3]=>[3,6,7,4,5,2,1]=>000000 [1,2,5,6,3,4,7]=>[7,4,3,6,5,2,1]=>000000 [1,2,5,6,3,7,4]=>[4,7,3,6,5,2,1]=>000000 [1,2,5,6,4,3,7]=>[7,3,4,6,5,2,1]=>000000 [1,2,5,6,4,7,3]=>[3,7,4,6,5,2,1]=>000000 [1,2,5,6,7,3,4]=>[4,3,7,6,5,2,1]=>000000 [1,2,5,6,7,4,3]=>[3,4,7,6,5,2,1]=>000000 [1,2,5,7,3,4,6]=>[6,4,3,7,5,2,1]=>000000 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[2,3,6,7,1,5,4]=>[4,5,1,7,6,3,2]=>000000 [2,3,6,7,4,1,5]=>[5,1,4,7,6,3,2]=>000000 [2,3,6,7,4,5,1]=>[1,5,4,7,6,3,2]=>100000 [2,3,6,7,5,1,4]=>[4,1,5,7,6,3,2]=>000000 [2,3,6,7,5,4,1]=>[1,4,5,7,6,3,2]=>100000 [2,3,7,1,4,5,6]=>[6,5,4,1,7,3,2]=>000000 [2,3,7,1,4,6,5]=>[5,6,4,1,7,3,2]=>000000 [2,3,7,1,5,4,6]=>[6,4,5,1,7,3,2]=>000000 [2,3,7,1,5,6,4]=>[4,6,5,1,7,3,2]=>000000 [2,3,7,1,6,4,5]=>[5,4,6,1,7,3,2]=>000000 [2,3,7,1,6,5,4]=>[4,5,6,1,7,3,2]=>000000 [2,3,7,4,1,5,6]=>[6,5,1,4,7,3,2]=>000000 [2,3,7,4,1,6,5]=>[5,6,1,4,7,3,2]=>000000 [2,3,7,4,5,1,6]=>[6,1,5,4,7,3,2]=>000000 [2,3,7,4,5,6,1]=>[1,6,5,4,7,3,2]=>100000 [2,3,7,4,6,1,5]=>[5,1,6,4,7,3,2]=>000000 [2,3,7,4,6,5,1]=>[1,5,6,4,7,3,2]=>100000 [2,3,7,5,1,4,6]=>[6,4,1,5,7,3,2]=>000000 [2,3,7,5,1,6,4]=>[4,6,1,5,7,3,2]=>000000 [2,3,7,5,4,1,6]=>[6,1,4,5,7,3,2]=>000000 [2,3,7,5,4,6,1]=>[1,6,4,5,7,3,2]=>100000 [2,3,7,5,6,1,4]=>[4,1,6,5,7,3,2]=>000000 [2,3,7,5,6,4,1]=>[1,4,6,5,7,3,2]=>100000 [2,3,7,6,1,4,5]=>[5,4,1,6,7,3,2]=>000000 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[2,4,3,7,1,6,5]=>[5,6,1,7,3,4,2]=>000000 [2,4,3,7,5,1,6]=>[6,1,5,7,3,4,2]=>000000 [2,4,3,7,5,6,1]=>[1,6,5,7,3,4,2]=>100000 [2,4,3,7,6,1,5]=>[5,1,6,7,3,4,2]=>000000 [2,4,3,7,6,5,1]=>[1,5,6,7,3,4,2]=>100000 [2,4,5,1,3,6,7]=>[7,6,3,1,5,4,2]=>000000 [2,4,5,1,3,7,6]=>[6,7,3,1,5,4,2]=>000000 [2,4,5,1,6,3,7]=>[7,3,6,1,5,4,2]=>000000 [2,4,5,1,6,7,3]=>[3,7,6,1,5,4,2]=>000000 [2,4,5,1,7,3,6]=>[6,3,7,1,5,4,2]=>000000 [2,4,5,1,7,6,3]=>[3,6,7,1,5,4,2]=>000000 [2,4,5,3,1,6,7]=>[7,6,1,3,5,4,2]=>000000 [2,4,5,3,1,7,6]=>[6,7,1,3,5,4,2]=>000000 [2,4,5,3,6,1,7]=>[7,1,6,3,5,4,2]=>000000 [2,4,5,3,6,7,1]=>[1,7,6,3,5,4,2]=>100000 [2,4,5,3,7,1,6]=>[6,1,7,3,5,4,2]=>000000 [2,4,5,3,7,6,1]=>[1,6,7,3,5,4,2]=>100000 [2,4,5,6,1,3,7]=>[7,3,1,6,5,4,2]=>000000 [2,4,5,6,1,7,3]=>[3,7,1,6,5,4,2]=>000000 [2,4,5,6,3,1,7]=>[7,1,3,6,5,4,2]=>000000 [2,4,5,6,3,7,1]=>[1,7,3,6,5,4,2]=>100000 [2,4,5,6,7,1,3]=>[3,1,7,6,5,4,2]=>000000 [2,4,5,6,7,3,1]=>[1,3,7,6,5,4,2]=>100000 [2,4,5,7,1,3,6]=>[6,3,1,7,5,4,2]=>000000 [2,4,5,7,1,6,3]=>[3,6,1,7,5,4,2]=>000000 [2,4,5,7,3,1,6]=>[6,1,3,7,5,4,2]=>000000 [2,4,5,7,3,6,1]=>[1,6,3,7,5,4,2]=>100000 [2,4,5,7,6,1,3]=>[3,1,6,7,5,4,2]=>000000 [2,4,5,7,6,3,1]=>[1,3,6,7,5,4,2]=>100000 [2,4,6,1,3,5,7]=>[7,5,3,1,6,4,2]=>000000 [2,4,6,1,3,7,5]=>[5,7,3,1,6,4,2]=>000000 [2,4,6,1,5,3,7]=>[7,3,5,1,6,4,2]=>000000 [2,4,6,1,5,7,3]=>[3,7,5,1,6,4,2]=>000000 [2,4,6,1,7,3,5]=>[5,3,7,1,6,4,2]=>000000 [2,4,6,1,7,5,3]=>[3,5,7,1,6,4,2]=>000000 [2,4,6,3,1,5,7]=>[7,5,1,3,6,4,2]=>000000 [2,4,6,3,1,7,5]=>[5,7,1,3,6,4,2]=>000000 [2,4,6,3,5,1,7]=>[7,1,5,3,6,4,2]=>000000 [2,4,6,3,5,7,1]=>[1,7,5,3,6,4,2]=>100000 [2,4,6,3,7,1,5]=>[5,1,7,3,6,4,2]=>000000 [2,4,6,3,7,5,1]=>[1,5,7,3,6,4,2]=>100000 [2,4,6,5,1,3,7]=>[7,3,1,5,6,4,2]=>000000 [2,4,6,5,1,7,3]=>[3,7,1,5,6,4,2]=>000000 [2,4,6,5,3,1,7]=>[7,1,3,5,6,4,2]=>000000 [2,4,6,5,3,7,1]=>[1,7,3,5,6,4,2]=>100000 [2,4,6,5,7,1,3]=>[3,1,7,5,6,4,2]=>000000 [2,4,6,5,7,3,1]=>[1,3,7,5,6,4,2]=>100000 [2,4,6,7,1,3,5]=>[5,3,1,7,6,4,2]=>000000 [2,4,6,7,1,5,3]=>[3,5,1,7,6,4,2]=>000000 [2,4,6,7,3,1,5]=>[5,1,3,7,6,4,2]=>000000 [2,4,6,7,3,5,1]=>[1,5,3,7,6,4,2]=>100000 [2,4,6,7,5,1,3]=>[3,1,5,7,6,4,2]=>000000 [2,4,6,7,5,3,1]=>[1,3,5,7,6,4,2]=>100000 [2,4,7,1,3,5,6]=>[6,5,3,1,7,4,2]=>000000 [2,4,7,1,3,6,5]=>[5,6,3,1,7,4,2]=>000000 [2,4,7,1,5,3,6]=>[6,3,5,1,7,4,2]=>000000 [2,4,7,1,5,6,3]=>[3,6,5,1,7,4,2]=>000000 [2,4,7,1,6,3,5]=>[5,3,6,1,7,4,2]=>000000 [2,4,7,1,6,5,3]=>[3,5,6,1,7,4,2]=>000000 [2,4,7,3,1,5,6]=>[6,5,1,3,7,4,2]=>000000 [2,4,7,3,1,6,5]=>[5,6,1,3,7,4,2]=>000000 [2,4,7,3,5,1,6]=>[6,1,5,3,7,4,2]=>000000 [2,4,7,3,5,6,1]=>[1,6,5,3,7,4,2]=>100000 [2,4,7,3,6,1,5]=>[5,1,6,3,7,4,2]=>000000 [2,4,7,3,6,5,1]=>[1,5,6,3,7,4,2]=>100000 [2,4,7,5,1,3,6]=>[6,3,1,5,7,4,2]=>000000 [2,4,7,5,1,6,3]=>[3,6,1,5,7,4,2]=>000000 [2,4,7,5,3,1,6]=>[6,1,3,5,7,4,2]=>000000 [2,4,7,5,3,6,1]=>[1,6,3,5,7,4,2]=>100000 [2,4,7,5,6,1,3]=>[3,1,6,5,7,4,2]=>000000 [2,4,7,5,6,3,1]=>[1,3,6,5,7,4,2]=>100000 [2,4,7,6,1,3,5]=>[5,3,1,6,7,4,2]=>000000 [2,4,7,6,1,5,3]=>[3,5,1,6,7,4,2]=>000000 [2,4,7,6,3,1,5]=>[5,1,3,6,7,4,2]=>000000 [2,4,7,6,3,5,1]=>[1,5,3,6,7,4,2]=>100000 [2,4,7,6,5,1,3]=>[3,1,5,6,7,4,2]=>000000 [2,4,7,6,5,3,1]=>[1,3,5,6,7,4,2]=>100000 [2,5,1,3,4,6,7]=>[7,6,4,3,1,5,2]=>000000 [2,5,1,3,4,7,6]=>[6,7,4,3,1,5,2]=>000000 [2,5,1,3,6,4,7]=>[7,4,6,3,1,5,2]=>000000 [2,5,1,3,6,7,4]=>[4,7,6,3,1,5,2]=>000000 [2,5,1,3,7,4,6]=>[6,4,7,3,1,5,2]=>000000 [2,5,1,3,7,6,4]=>[4,6,7,3,1,5,2]=>000000 [2,5,1,4,3,6,7]=>[7,6,3,4,1,5,2]=>000000 [2,5,1,4,3,7,6]=>[6,7,3,4,1,5,2]=>000000 [2,5,1,4,6,3,7]=>[7,3,6,4,1,5,2]=>000000 [2,5,1,4,6,7,3]=>[3,7,6,4,1,5,2]=>000000 [2,5,1,4,7,3,6]=>[6,3,7,4,1,5,2]=>000000 [2,5,1,4,7,6,3]=>[3,6,7,4,1,5,2]=>000000 [2,5,1,6,3,4,7]=>[7,4,3,6,1,5,2]=>000000 [2,5,1,6,3,7,4]=>[4,7,3,6,1,5,2]=>000000 [2,5,1,6,4,3,7]=>[7,3,4,6,1,5,2]=>000000 [2,5,1,6,4,7,3]=>[3,7,4,6,1,5,2]=>000000 [2,5,1,6,7,3,4]=>[4,3,7,6,1,5,2]=>000000 [2,5,1,6,7,4,3]=>[3,4,7,6,1,5,2]=>000000 [2,5,1,7,3,4,6]=>[6,4,3,7,1,5,2]=>000000 [2,5,1,7,3,6,4]=>[4,6,3,7,1,5,2]=>000000 [2,5,1,7,4,3,6]=>[6,3,4,7,1,5,2]=>000000 [2,5,1,7,4,6,3]=>[3,6,4,7,1,5,2]=>000000 [2,5,1,7,6,3,4]=>[4,3,6,7,1,5,2]=>000000 [2,5,1,7,6,4,3]=>[3,4,6,7,1,5,2]=>000000 [2,5,3,1,4,6,7]=>[7,6,4,1,3,5,2]=>000000 [2,5,3,1,4,7,6]=>[6,7,4,1,3,5,2]=>000000 [2,5,3,1,6,4,7]=>[7,4,6,1,3,5,2]=>000000 [2,5,3,1,6,7,4]=>[4,7,6,1,3,5,2]=>000000 [2,5,3,1,7,4,6]=>[6,4,7,1,3,5,2]=>000000 [2,5,3,1,7,6,4]=>[4,6,7,1,3,5,2]=>000000 [2,5,3,4,1,6,7]=>[7,6,1,4,3,5,2]=>000000 [2,5,3,4,1,7,6]=>[6,7,1,4,3,5,2]=>000000 [2,5,3,4,6,1,7]=>[7,1,6,4,3,5,2]=>000000 [2,5,3,4,6,7,1]=>[1,7,6,4,3,5,2]=>100000 [2,5,3,4,7,1,6]=>[6,1,7,4,3,5,2]=>000000 [2,5,3,4,7,6,1]=>[1,6,7,4,3,5,2]=>100000 [2,5,3,6,1,4,7]=>[7,4,1,6,3,5,2]=>000000 [2,5,3,6,1,7,4]=>[4,7,1,6,3,5,2]=>000000 [2,5,3,6,4,1,7]=>[7,1,4,6,3,5,2]=>000000 [2,5,3,6,4,7,1]=>[1,7,4,6,3,5,2]=>100000 [2,5,3,6,7,1,4]=>[4,1,7,6,3,5,2]=>000000 [2,5,3,6,7,4,1]=>[1,4,7,6,3,5,2]=>100000 [2,5,3,7,1,4,6]=>[6,4,1,7,3,5,2]=>000000 [2,5,3,7,1,6,4]=>[4,6,1,7,3,5,2]=>000000 [2,5,3,7,4,1,6]=>[6,1,4,7,3,5,2]=>000000 [2,5,3,7,4,6,1]=>[1,6,4,7,3,5,2]=>100000 [2,5,3,7,6,1,4]=>[4,1,6,7,3,5,2]=>000000 [2,5,3,7,6,4,1]=>[1,4,6,7,3,5,2]=>100000 [2,5,4,1,3,6,7]=>[7,6,3,1,4,5,2]=>000000 [2,5,4,1,3,7,6]=>[6,7,3,1,4,5,2]=>000000 [2,5,4,1,6,3,7]=>[7,3,6,1,4,5,2]=>000000 [2,5,4,1,6,7,3]=>[3,7,6,1,4,5,2]=>000000 [2,5,4,1,7,3,6]=>[6,3,7,1,4,5,2]=>000000 [2,5,4,1,7,6,3]=>[3,6,7,1,4,5,2]=>000000 [2,5,4,3,1,6,7]=>[7,6,1,3,4,5,2]=>000000 [2,5,4,3,1,7,6]=>[6,7,1,3,4,5,2]=>000000 [2,5,4,3,6,1,7]=>[7,1,6,3,4,5,2]=>000000 [2,5,4,3,6,7,1]=>[1,7,6,3,4,5,2]=>100000 [2,5,4,3,7,1,6]=>[6,1,7,3,4,5,2]=>000000 [2,5,4,3,7,6,1]=>[1,6,7,3,4,5,2]=>100000 [2,5,4,6,1,3,7]=>[7,3,1,6,4,5,2]=>000000 [2,5,4,6,1,7,3]=>[3,7,1,6,4,5,2]=>000000 [2,5,4,6,3,1,7]=>[7,1,3,6,4,5,2]=>000000 [2,5,4,6,3,7,1]=>[1,7,3,6,4,5,2]=>100000 [2,5,4,6,7,1,3]=>[3,1,7,6,4,5,2]=>000000 [2,5,4,6,7,3,1]=>[1,3,7,6,4,5,2]=>100000 [2,5,4,7,1,3,6]=>[6,3,1,7,4,5,2]=>000000 [2,5,4,7,1,6,3]=>[3,6,1,7,4,5,2]=>000000 [2,5,4,7,3,1,6]=>[6,1,3,7,4,5,2]=>000000 [2,5,4,7,3,6,1]=>[1,6,3,7,4,5,2]=>100000 [2,5,4,7,6,1,3]=>[3,1,6,7,4,5,2]=>000000 [2,5,4,7,6,3,1]=>[1,3,6,7,4,5,2]=>100000 [2,5,6,1,3,4,7]=>[7,4,3,1,6,5,2]=>000000 [2,5,6,1,3,7,4]=>[4,7,3,1,6,5,2]=>000000 [2,5,6,1,4,3,7]=>[7,3,4,1,6,5,2]=>000000 [2,5,6,1,4,7,3]=>[3,7,4,1,6,5,2]=>000000 [2,5,6,1,7,3,4]=>[4,3,7,1,6,5,2]=>000000 [2,5,6,1,7,4,3]=>[3,4,7,1,6,5,2]=>000000 [2,5,6,3,1,4,7]=>[7,4,1,3,6,5,2]=>000000 [2,5,6,3,1,7,4]=>[4,7,1,3,6,5,2]=>000000 [2,5,6,3,4,1,7]=>[7,1,4,3,6,5,2]=>000000 [2,5,6,3,4,7,1]=>[1,7,4,3,6,5,2]=>100000 [2,5,6,3,7,1,4]=>[4,1,7,3,6,5,2]=>000000 [2,5,6,3,7,4,1]=>[1,4,7,3,6,5,2]=>100000 [2,5,6,4,1,3,7]=>[7,3,1,4,6,5,2]=>000000 [2,5,6,4,1,7,3]=>[3,7,1,4,6,5,2]=>000000 [2,5,6,4,3,1,7]=>[7,1,3,4,6,5,2]=>000000 [2,5,6,4,3,7,1]=>[1,7,3,4,6,5,2]=>100000 [2,5,6,4,7,1,3]=>[3,1,7,4,6,5,2]=>000000 [2,5,6,4,7,3,1]=>[1,3,7,4,6,5,2]=>100000 [2,5,6,7,1,3,4]=>[4,3,1,7,6,5,2]=>000000 [2,5,6,7,1,4,3]=>[3,4,1,7,6,5,2]=>000000 [2,5,6,7,3,1,4]=>[4,1,3,7,6,5,2]=>000000 [2,5,6,7,3,4,1]=>[1,4,3,7,6,5,2]=>100000 [2,5,6,7,4,1,3]=>[3,1,4,7,6,5,2]=>000000 [2,5,6,7,4,3,1]=>[1,3,4,7,6,5,2]=>100000 [2,5,7,1,3,4,6]=>[6,4,3,1,7,5,2]=>000000 [2,5,7,1,3,6,4]=>[4,6,3,1,7,5,2]=>000000 [2,5,7,1,4,3,6]=>[6,3,4,1,7,5,2]=>000000 [2,5,7,1,4,6,3]=>[3,6,4,1,7,5,2]=>000000 [2,5,7,1,6,3,4]=>[4,3,6,1,7,5,2]=>000000 [2,5,7,1,6,4,3]=>[3,4,6,1,7,5,2]=>000000 [2,5,7,3,1,4,6]=>[6,4,1,3,7,5,2]=>000000 [2,5,7,3,1,6,4]=>[4,6,1,3,7,5,2]=>000000 [2,5,7,3,4,1,6]=>[6,1,4,3,7,5,2]=>000000 [2,5,7,3,4,6,1]=>[1,6,4,3,7,5,2]=>100000 [2,5,7,3,6,1,4]=>[4,1,6,3,7,5,2]=>000000 [2,5,7,3,6,4,1]=>[1,4,6,3,7,5,2]=>100000 [2,5,7,4,1,3,6]=>[6,3,1,4,7,5,2]=>000000 [2,5,7,4,1,6,3]=>[3,6,1,4,7,5,2]=>000000 [2,5,7,4,3,1,6]=>[6,1,3,4,7,5,2]=>000000 [2,5,7,4,3,6,1]=>[1,6,3,4,7,5,2]=>100000 [2,5,7,4,6,1,3]=>[3,1,6,4,7,5,2]=>000000 [2,5,7,4,6,3,1]=>[1,3,6,4,7,5,2]=>100000 [2,5,7,6,1,3,4]=>[4,3,1,6,7,5,2]=>000000 [2,5,7,6,1,4,3]=>[3,4,1,6,7,5,2]=>000000 [2,5,7,6,3,1,4]=>[4,1,3,6,7,5,2]=>000000 [2,5,7,6,3,4,1]=>[1,4,3,6,7,5,2]=>100000 [2,5,7,6,4,1,3]=>[3,1,4,6,7,5,2]=>000000 [2,5,7,6,4,3,1]=>[1,3,4,6,7,5,2]=>100000 [2,6,1,3,4,5,7]=>[7,5,4,3,1,6,2]=>000000 [2,6,1,3,4,7,5]=>[5,7,4,3,1,6,2]=>000000 [2,6,1,3,5,4,7]=>[7,4,5,3,1,6,2]=>000000 [2,6,1,3,5,7,4]=>[4,7,5,3,1,6,2]=>000000 [2,6,1,3,7,4,5]=>[5,4,7,3,1,6,2]=>000000 [2,6,1,3,7,5,4]=>[4,5,7,3,1,6,2]=>000000 [2,6,1,4,3,5,7]=>[7,5,3,4,1,6,2]=>000000 [2,6,1,4,3,7,5]=>[5,7,3,4,1,6,2]=>000000 [2,6,1,4,5,3,7]=>[7,3,5,4,1,6,2]=>000000 [2,6,1,4,5,7,3]=>[3,7,5,4,1,6,2]=>000000 [2,6,1,4,7,3,5]=>[5,3,7,4,1,6,2]=>000000 [2,6,1,4,7,5,3]=>[3,5,7,4,1,6,2]=>000000 [2,6,1,5,3,4,7]=>[7,4,3,5,1,6,2]=>000000 [2,6,1,5,3,7,4]=>[4,7,3,5,1,6,2]=>000000 [2,6,1,5,4,3,7]=>[7,3,4,5,1,6,2]=>000000 [2,6,1,5,4,7,3]=>[3,7,4,5,1,6,2]=>000000 [2,6,1,5,7,3,4]=>[4,3,7,5,1,6,2]=>000000 [2,6,1,5,7,4,3]=>[3,4,7,5,1,6,2]=>000000 [2,6,1,7,3,4,5]=>[5,4,3,7,1,6,2]=>000000 [2,6,1,7,3,5,4]=>[4,5,3,7,1,6,2]=>000000 [2,6,1,7,4,3,5]=>[5,3,4,7,1,6,2]=>000000 [2,6,1,7,4,5,3]=>[3,5,4,7,1,6,2]=>000000 [2,6,1,7,5,3,4]=>[4,3,5,7,1,6,2]=>000000 [2,6,1,7,5,4,3]=>[3,4,5,7,1,6,2]=>000000 [2,6,3,1,4,5,7]=>[7,5,4,1,3,6,2]=>000000 [2,6,3,1,4,7,5]=>[5,7,4,1,3,6,2]=>000000 [2,6,3,1,5,4,7]=>[7,4,5,1,3,6,2]=>000000 [2,6,3,1,5,7,4]=>[4,7,5,1,3,6,2]=>000000 [2,6,3,1,7,4,5]=>[5,4,7,1,3,6,2]=>000000 [2,6,3,1,7,5,4]=>[4,5,7,1,3,6,2]=>000000 [2,6,3,4,1,5,7]=>[7,5,1,4,3,6,2]=>000000 [2,6,3,4,1,7,5]=>[5,7,1,4,3,6,2]=>000000 [2,6,3,4,5,1,7]=>[7,1,5,4,3,6,2]=>000000 [2,6,3,4,5,7,1]=>[1,7,5,4,3,6,2]=>100000 [2,6,3,4,7,1,5]=>[5,1,7,4,3,6,2]=>000000 [2,6,3,4,7,5,1]=>[1,5,7,4,3,6,2]=>100000 [2,6,3,5,1,4,7]=>[7,4,1,5,3,6,2]=>000000 [2,6,3,5,1,7,4]=>[4,7,1,5,3,6,2]=>000000 [2,6,3,5,4,1,7]=>[7,1,4,5,3,6,2]=>000000 [2,6,3,5,4,7,1]=>[1,7,4,5,3,6,2]=>100000 [2,6,3,5,7,1,4]=>[4,1,7,5,3,6,2]=>000000 [2,6,3,5,7,4,1]=>[1,4,7,5,3,6,2]=>100000 [2,6,3,7,1,4,5]=>[5,4,1,7,3,6,2]=>000000 [2,6,3,7,1,5,4]=>[4,5,1,7,3,6,2]=>000000 [2,6,3,7,4,1,5]=>[5,1,4,7,3,6,2]=>000000 [2,6,3,7,4,5,1]=>[1,5,4,7,3,6,2]=>100000 [2,6,3,7,5,1,4]=>[4,1,5,7,3,6,2]=>000000 [2,6,3,7,5,4,1]=>[1,4,5,7,3,6,2]=>100000 [2,6,4,1,3,5,7]=>[7,5,3,1,4,6,2]=>000000 [2,6,4,1,3,7,5]=>[5,7,3,1,4,6,2]=>000000 [2,6,4,1,5,3,7]=>[7,3,5,1,4,6,2]=>000000 [2,6,4,1,5,7,3]=>[3,7,5,1,4,6,2]=>000000 [2,6,4,1,7,3,5]=>[5,3,7,1,4,6,2]=>000000 [2,6,4,1,7,5,3]=>[3,5,7,1,4,6,2]=>000000 [2,6,4,3,1,5,7]=>[7,5,1,3,4,6,2]=>000000 [2,6,4,3,1,7,5]=>[5,7,1,3,4,6,2]=>000000 [2,6,4,3,5,1,7]=>[7,1,5,3,4,6,2]=>000000 [2,6,4,3,5,7,1]=>[1,7,5,3,4,6,2]=>100000 [2,6,4,3,7,1,5]=>[5,1,7,3,4,6,2]=>000000 [2,6,4,3,7,5,1]=>[1,5,7,3,4,6,2]=>100000 [2,6,4,5,1,3,7]=>[7,3,1,5,4,6,2]=>000000 [2,6,4,5,1,7,3]=>[3,7,1,5,4,6,2]=>000000 [2,6,4,5,3,1,7]=>[7,1,3,5,4,6,2]=>000000 [2,6,4,5,3,7,1]=>[1,7,3,5,4,6,2]=>100000 [2,6,4,5,7,1,3]=>[3,1,7,5,4,6,2]=>000000 [2,6,4,5,7,3,1]=>[1,3,7,5,4,6,2]=>100000 [2,6,4,7,1,3,5]=>[5,3,1,7,4,6,2]=>000000 [2,6,4,7,1,5,3]=>[3,5,1,7,4,6,2]=>000000 [2,6,4,7,3,1,5]=>[5,1,3,7,4,6,2]=>000000 [2,6,4,7,3,5,1]=>[1,5,3,7,4,6,2]=>100000 [2,6,4,7,5,1,3]=>[3,1,5,7,4,6,2]=>000000 [2,6,4,7,5,3,1]=>[1,3,5,7,4,6,2]=>100000 [2,6,5,1,3,4,7]=>[7,4,3,1,5,6,2]=>000000 [2,6,5,1,3,7,4]=>[4,7,3,1,5,6,2]=>000000 [2,6,5,1,4,3,7]=>[7,3,4,1,5,6,2]=>000000 [2,6,5,1,4,7,3]=>[3,7,4,1,5,6,2]=>000000 [2,6,5,1,7,3,4]=>[4,3,7,1,5,6,2]=>000000 [2,6,5,1,7,4,3]=>[3,4,7,1,5,6,2]=>000000 [2,6,5,3,1,4,7]=>[7,4,1,3,5,6,2]=>000000 [2,6,5,3,1,7,4]=>[4,7,1,3,5,6,2]=>000000 [2,6,5,3,4,1,7]=>[7,1,4,3,5,6,2]=>000000 [2,6,5,3,4,7,1]=>[1,7,4,3,5,6,2]=>100000 [2,6,5,3,7,1,4]=>[4,1,7,3,5,6,2]=>000000 [2,6,5,3,7,4,1]=>[1,4,7,3,5,6,2]=>100000 [2,6,5,4,1,3,7]=>[7,3,1,4,5,6,2]=>000000 [2,6,5,4,1,7,3]=>[3,7,1,4,5,6,2]=>000000 [2,6,5,4,3,1,7]=>[7,1,3,4,5,6,2]=>000000 [2,6,5,4,3,7,1]=>[1,7,3,4,5,6,2]=>100000 [2,6,5,4,7,1,3]=>[3,1,7,4,5,6,2]=>000000 [2,6,5,4,7,3,1]=>[1,3,7,4,5,6,2]=>100000 [2,6,5,7,1,3,4]=>[4,3,1,7,5,6,2]=>000000 [2,6,5,7,1,4,3]=>[3,4,1,7,5,6,2]=>000000 [2,6,5,7,3,1,4]=>[4,1,3,7,5,6,2]=>000000 [2,6,5,7,3,4,1]=>[1,4,3,7,5,6,2]=>100000 [2,6,5,7,4,1,3]=>[3,1,4,7,5,6,2]=>000000 [2,6,5,7,4,3,1]=>[1,3,4,7,5,6,2]=>100000 [2,6,7,1,3,4,5]=>[5,4,3,1,7,6,2]=>000000 [2,6,7,1,3,5,4]=>[4,5,3,1,7,6,2]=>000000 [2,6,7,1,4,3,5]=>[5,3,4,1,7,6,2]=>000000 [2,6,7,1,4,5,3]=>[3,5,4,1,7,6,2]=>000000 [2,6,7,1,5,3,4]=>[4,3,5,1,7,6,2]=>000000 [2,6,7,1,5,4,3]=>[3,4,5,1,7,6,2]=>000000 [2,6,7,3,1,4,5]=>[5,4,1,3,7,6,2]=>000000 [2,6,7,3,1,5,4]=>[4,5,1,3,7,6,2]=>000000 [2,6,7,3,4,1,5]=>[5,1,4,3,7,6,2]=>000000 [2,6,7,3,4,5,1]=>[1,5,4,3,7,6,2]=>100000 [2,6,7,3,5,1,4]=>[4,1,5,3,7,6,2]=>000000 [2,6,7,3,5,4,1]=>[1,4,5,3,7,6,2]=>100000 [2,6,7,4,1,3,5]=>[5,3,1,4,7,6,2]=>000000 [2,6,7,4,1,5,3]=>[3,5,1,4,7,6,2]=>000000 [2,6,7,4,3,1,5]=>[5,1,3,4,7,6,2]=>000000 [2,6,7,4,3,5,1]=>[1,5,3,4,7,6,2]=>100000 [2,6,7,4,5,1,3]=>[3,1,5,4,7,6,2]=>000000 [2,6,7,4,5,3,1]=>[1,3,5,4,7,6,2]=>100000 [2,6,7,5,1,3,4]=>[4,3,1,5,7,6,2]=>000000 [2,6,7,5,1,4,3]=>[3,4,1,5,7,6,2]=>000000 [2,6,7,5,3,1,4]=>[4,1,3,5,7,6,2]=>000000 [2,6,7,5,3,4,1]=>[1,4,3,5,7,6,2]=>100000 [2,6,7,5,4,1,3]=>[3,1,4,5,7,6,2]=>000000 [2,6,7,5,4,3,1]=>[1,3,4,5,7,6,2]=>100000 [2,7,1,3,4,5,6]=>[6,5,4,3,1,7,2]=>000000 [2,7,1,3,4,6,5]=>[5,6,4,3,1,7,2]=>000000 [2,7,1,3,5,4,6]=>[6,4,5,3,1,7,2]=>000000 [2,7,1,3,5,6,4]=>[4,6,5,3,1,7,2]=>000000 [2,7,1,3,6,4,5]=>[5,4,6,3,1,7,2]=>000000 [2,7,1,3,6,5,4]=>[4,5,6,3,1,7,2]=>000000 [2,7,1,4,3,5,6]=>[6,5,3,4,1,7,2]=>000000 [2,7,1,4,3,6,5]=>[5,6,3,4,1,7,2]=>000000 [2,7,1,4,5,3,6]=>[6,3,5,4,1,7,2]=>000000 [2,7,1,4,5,6,3]=>[3,6,5,4,1,7,2]=>000000 [2,7,1,4,6,3,5]=>[5,3,6,4,1,7,2]=>000000 [2,7,1,4,6,5,3]=>[3,5,6,4,1,7,2]=>000000 [2,7,1,5,3,4,6]=>[6,4,3,5,1,7,2]=>000000 [2,7,1,5,3,6,4]=>[4,6,3,5,1,7,2]=>000000 [2,7,1,5,4,3,6]=>[6,3,4,5,1,7,2]=>000000 [2,7,1,5,4,6,3]=>[3,6,4,5,1,7,2]=>000000 [2,7,1,5,6,3,4]=>[4,3,6,5,1,7,2]=>000000 [2,7,1,5,6,4,3]=>[3,4,6,5,1,7,2]=>000000 [2,7,1,6,3,4,5]=>[5,4,3,6,1,7,2]=>000000 [2,7,1,6,3,5,4]=>[4,5,3,6,1,7,2]=>000000 [2,7,1,6,4,3,5]=>[5,3,4,6,1,7,2]=>000000 [2,7,1,6,4,5,3]=>[3,5,4,6,1,7,2]=>000000 [2,7,1,6,5,3,4]=>[4,3,5,6,1,7,2]=>000000 [2,7,1,6,5,4,3]=>[3,4,5,6,1,7,2]=>000000 [2,7,3,1,4,5,6]=>[6,5,4,1,3,7,2]=>000000 [2,7,3,1,4,6,5]=>[5,6,4,1,3,7,2]=>000000 [2,7,3,1,5,4,6]=>[6,4,5,1,3,7,2]=>000000 [2,7,3,1,5,6,4]=>[4,6,5,1,3,7,2]=>000000 [2,7,3,1,6,4,5]=>[5,4,6,1,3,7,2]=>000000 [2,7,3,1,6,5,4]=>[4,5,6,1,3,7,2]=>000000 [2,7,3,4,1,5,6]=>[6,5,1,4,3,7,2]=>000000 [2,7,3,4,1,6,5]=>[5,6,1,4,3,7,2]=>000000 [2,7,3,4,5,1,6]=>[6,1,5,4,3,7,2]=>000000 [2,7,3,4,5,6,1]=>[1,6,5,4,3,7,2]=>100000 [2,7,3,4,6,1,5]=>[5,1,6,4,3,7,2]=>000000 [2,7,3,4,6,5,1]=>[1,5,6,4,3,7,2]=>100000 [2,7,3,5,1,4,6]=>[6,4,1,5,3,7,2]=>000000 [2,7,3,5,1,6,4]=>[4,6,1,5,3,7,2]=>000000 [2,7,3,5,4,1,6]=>[6,1,4,5,3,7,2]=>000000 [2,7,3,5,4,6,1]=>[1,6,4,5,3,7,2]=>100000 [2,7,3,5,6,1,4]=>[4,1,6,5,3,7,2]=>000000 [2,7,3,5,6,4,1]=>[1,4,6,5,3,7,2]=>100000 [2,7,3,6,1,4,5]=>[5,4,1,6,3,7,2]=>000000 [2,7,3,6,1,5,4]=>[4,5,1,6,3,7,2]=>000000 [2,7,3,6,4,1,5]=>[5,1,4,6,3,7,2]=>000000 [2,7,3,6,4,5,1]=>[1,5,4,6,3,7,2]=>100000 [2,7,3,6,5,1,4]=>[4,1,5,6,3,7,2]=>000000 [2,7,3,6,5,4,1]=>[1,4,5,6,3,7,2]=>100000 [2,7,4,1,3,5,6]=>[6,5,3,1,4,7,2]=>000000 [2,7,4,1,3,6,5]=>[5,6,3,1,4,7,2]=>000000 [2,7,4,1,5,3,6]=>[6,3,5,1,4,7,2]=>000000 [2,7,4,1,5,6,3]=>[3,6,5,1,4,7,2]=>000000 [2,7,4,1,6,3,5]=>[5,3,6,1,4,7,2]=>000000 [2,7,4,1,6,5,3]=>[3,5,6,1,4,7,2]=>000000 [2,7,4,3,1,5,6]=>[6,5,1,3,4,7,2]=>000000 [2,7,4,3,1,6,5]=>[5,6,1,3,4,7,2]=>000000 [2,7,4,3,5,1,6]=>[6,1,5,3,4,7,2]=>000000 [2,7,4,3,5,6,1]=>[1,6,5,3,4,7,2]=>100000 [2,7,4,3,6,1,5]=>[5,1,6,3,4,7,2]=>000000 [2,7,4,3,6,5,1]=>[1,5,6,3,4,7,2]=>100000 [2,7,4,5,1,3,6]=>[6,3,1,5,4,7,2]=>000000 [2,7,4,5,1,6,3]=>[3,6,1,5,4,7,2]=>000000 [2,7,4,5,3,1,6]=>[6,1,3,5,4,7,2]=>000000 [2,7,4,5,3,6,1]=>[1,6,3,5,4,7,2]=>100000 [2,7,4,5,6,1,3]=>[3,1,6,5,4,7,2]=>000000 [2,7,4,5,6,3,1]=>[1,3,6,5,4,7,2]=>100000 [2,7,4,6,1,3,5]=>[5,3,1,6,4,7,2]=>000000 [2,7,4,6,1,5,3]=>[3,5,1,6,4,7,2]=>000000 [2,7,4,6,3,1,5]=>[5,1,3,6,4,7,2]=>000000 [2,7,4,6,3,5,1]=>[1,5,3,6,4,7,2]=>100000 [2,7,4,6,5,1,3]=>[3,1,5,6,4,7,2]=>000000 [2,7,4,6,5,3,1]=>[1,3,5,6,4,7,2]=>100000 [2,7,5,1,3,4,6]=>[6,4,3,1,5,7,2]=>000000 [2,7,5,1,3,6,4]=>[4,6,3,1,5,7,2]=>000000 [2,7,5,1,4,3,6]=>[6,3,4,1,5,7,2]=>000000 [2,7,5,1,4,6,3]=>[3,6,4,1,5,7,2]=>000000 [2,7,5,1,6,3,4]=>[4,3,6,1,5,7,2]=>000000 [2,7,5,1,6,4,3]=>[3,4,6,1,5,7,2]=>000000 [2,7,5,3,1,4,6]=>[6,4,1,3,5,7,2]=>000000 [2,7,5,3,1,6,4]=>[4,6,1,3,5,7,2]=>000000 [2,7,5,3,4,1,6]=>[6,1,4,3,5,7,2]=>000000 [2,7,5,3,4,6,1]=>[1,6,4,3,5,7,2]=>100000 [2,7,5,3,6,1,4]=>[4,1,6,3,5,7,2]=>000000 [2,7,5,3,6,4,1]=>[1,4,6,3,5,7,2]=>100000 [2,7,5,4,1,3,6]=>[6,3,1,4,5,7,2]=>000000 [2,7,5,4,1,6,3]=>[3,6,1,4,5,7,2]=>000000 [2,7,5,4,3,1,6]=>[6,1,3,4,5,7,2]=>000000 [2,7,5,4,3,6,1]=>[1,6,3,4,5,7,2]=>100000 [2,7,5,4,6,1,3]=>[3,1,6,4,5,7,2]=>000000 [2,7,5,4,6,3,1]=>[1,3,6,4,5,7,2]=>100000 [2,7,5,6,1,3,4]=>[4,3,1,6,5,7,2]=>000000 [2,7,5,6,1,4,3]=>[3,4,1,6,5,7,2]=>000000 [2,7,5,6,3,1,4]=>[4,1,3,6,5,7,2]=>000000 [2,7,5,6,3,4,1]=>[1,4,3,6,5,7,2]=>100000 [2,7,5,6,4,1,3]=>[3,1,4,6,5,7,2]=>000000 [2,7,5,6,4,3,1]=>[1,3,4,6,5,7,2]=>100000 [2,7,6,1,3,4,5]=>[5,4,3,1,6,7,2]=>000000 [2,7,6,1,3,5,4]=>[4,5,3,1,6,7,2]=>000000 [2,7,6,1,4,3,5]=>[5,3,4,1,6,7,2]=>000000 [2,7,6,1,4,5,3]=>[3,5,4,1,6,7,2]=>000000 [2,7,6,1,5,3,4]=>[4,3,5,1,6,7,2]=>000000 [2,7,6,1,5,4,3]=>[3,4,5,1,6,7,2]=>000000 [2,7,6,3,1,4,5]=>[5,4,1,3,6,7,2]=>000000 [2,7,6,3,1,5,4]=>[4,5,1,3,6,7,2]=>000000 [2,7,6,3,4,1,5]=>[5,1,4,3,6,7,2]=>000000 [2,7,6,3,4,5,1]=>[1,5,4,3,6,7,2]=>100000 [2,7,6,3,5,1,4]=>[4,1,5,3,6,7,2]=>000000 [2,7,6,3,5,4,1]=>[1,4,5,3,6,7,2]=>100000 [2,7,6,4,1,3,5]=>[5,3,1,4,6,7,2]=>000000 [2,7,6,4,1,5,3]=>[3,5,1,4,6,7,2]=>000000 [2,7,6,4,3,1,5]=>[5,1,3,4,6,7,2]=>000000 [2,7,6,4,3,5,1]=>[1,5,3,4,6,7,2]=>100000 [2,7,6,4,5,1,3]=>[3,1,5,4,6,7,2]=>000000 [2,7,6,4,5,3,1]=>[1,3,5,4,6,7,2]=>100000 [2,7,6,5,1,3,4]=>[4,3,1,5,6,7,2]=>000000 [2,7,6,5,1,4,3]=>[3,4,1,5,6,7,2]=>000000 [2,7,6,5,3,1,4]=>[4,1,3,5,6,7,2]=>000000 [2,7,6,5,3,4,1]=>[1,4,3,5,6,7,2]=>100000 [2,7,6,5,4,1,3]=>[3,1,4,5,6,7,2]=>000000 [2,7,6,5,4,3,1]=>[1,3,4,5,6,7,2]=>100000 [3,1,2,4,5,6,7]=>[7,6,5,4,2,1,3]=>000000 [3,1,2,4,5,7,6]=>[6,7,5,4,2,1,3]=>000000 [3,1,2,4,6,5,7]=>[7,5,6,4,2,1,3]=>000000 [3,1,2,4,6,7,5]=>[5,7,6,4,2,1,3]=>000000 [3,1,2,4,7,5,6]=>[6,5,7,4,2,1,3]=>000000 [3,1,2,4,7,6,5]=>[5,6,7,4,2,1,3]=>000000 [3,1,2,5,4,6,7]=>[7,6,4,5,2,1,3]=>000000 [3,1,2,5,4,7,6]=>[6,7,4,5,2,1,3]=>000000 [3,1,2,5,6,4,7]=>[7,4,6,5,2,1,3]=>000000 [3,1,2,5,6,7,4]=>[4,7,6,5,2,1,3]=>000000 [3,1,2,5,7,4,6]=>[6,4,7,5,2,1,3]=>000000 [3,1,2,5,7,6,4]=>[4,6,7,5,2,1,3]=>000000 [3,1,2,6,4,5,7]=>[7,5,4,6,2,1,3]=>000000 [3,1,2,6,4,7,5]=>[5,7,4,6,2,1,3]=>000000 [3,1,2,6,5,4,7]=>[7,4,5,6,2,1,3]=>000000 [3,1,2,6,5,7,4]=>[4,7,5,6,2,1,3]=>000000 [3,1,2,6,7,4,5]=>[5,4,7,6,2,1,3]=>000000 [3,1,2,6,7,5,4]=>[4,5,7,6,2,1,3]=>000000 [3,1,2,7,4,5,6]=>[6,5,4,7,2,1,3]=>000000 [3,1,2,7,4,6,5]=>[5,6,4,7,2,1,3]=>000000 [3,1,2,7,5,4,6]=>[6,4,5,7,2,1,3]=>000000 [3,1,2,7,5,6,4]=>[4,6,5,7,2,1,3]=>000000 [3,1,2,7,6,4,5]=>[5,4,6,7,2,1,3]=>000000 [3,1,2,7,6,5,4]=>[4,5,6,7,2,1,3]=>000000 [3,1,4,2,5,6,7]=>[7,6,5,2,4,1,3]=>000000 [3,1,4,2,5,7,6]=>[6,7,5,2,4,1,3]=>000000 [3,1,4,2,6,5,7]=>[7,5,6,2,4,1,3]=>000000 [3,1,4,2,6,7,5]=>[5,7,6,2,4,1,3]=>000000 [3,1,4,2,7,5,6]=>[6,5,7,2,4,1,3]=>000000 [3,1,4,2,7,6,5]=>[5,6,7,2,4,1,3]=>000000 [3,1,4,5,2,6,7]=>[7,6,2,5,4,1,3]=>000000 [3,1,4,5,2,7,6]=>[6,7,2,5,4,1,3]=>000000 [3,1,4,5,6,2,7]=>[7,2,6,5,4,1,3]=>000000 [3,1,4,5,6,7,2]=>[2,7,6,5,4,1,3]=>000000 [3,1,4,5,7,2,6]=>[6,2,7,5,4,1,3]=>000000 [3,1,4,5,7,6,2]=>[2,6,7,5,4,1,3]=>000000 [3,1,4,6,2,5,7]=>[7,5,2,6,4,1,3]=>000000 [3,1,4,6,2,7,5]=>[5,7,2,6,4,1,3]=>000000 [3,1,4,6,5,2,7]=>[7,2,5,6,4,1,3]=>000000 [3,1,4,6,5,7,2]=>[2,7,5,6,4,1,3]=>000000 [3,1,4,6,7,2,5]=>[5,2,7,6,4,1,3]=>000000 [3,1,4,6,7,5,2]=>[2,5,7,6,4,1,3]=>000000 [3,1,4,7,2,5,6]=>[6,5,2,7,4,1,3]=>000000 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[3,1,6,7,2,5,4]=>[4,5,2,7,6,1,3]=>000000 [3,1,6,7,4,2,5]=>[5,2,4,7,6,1,3]=>000000 [3,1,6,7,4,5,2]=>[2,5,4,7,6,1,3]=>000000 [3,1,6,7,5,2,4]=>[4,2,5,7,6,1,3]=>000000 [3,1,6,7,5,4,2]=>[2,4,5,7,6,1,3]=>000000 [3,1,7,2,4,5,6]=>[6,5,4,2,7,1,3]=>000000 [3,1,7,2,4,6,5]=>[5,6,4,2,7,1,3]=>000000 [3,1,7,2,5,4,6]=>[6,4,5,2,7,1,3]=>000000 [3,1,7,2,5,6,4]=>[4,6,5,2,7,1,3]=>000000 [3,1,7,2,6,4,5]=>[5,4,6,2,7,1,3]=>000000 [3,1,7,2,6,5,4]=>[4,5,6,2,7,1,3]=>000000 [3,1,7,4,2,5,6]=>[6,5,2,4,7,1,3]=>000000 [3,1,7,4,2,6,5]=>[5,6,2,4,7,1,3]=>000000 [3,1,7,4,5,2,6]=>[6,2,5,4,7,1,3]=>000000 [3,1,7,4,5,6,2]=>[2,6,5,4,7,1,3]=>000000 [3,1,7,4,6,2,5]=>[5,2,6,4,7,1,3]=>000000 [3,1,7,4,6,5,2]=>[2,5,6,4,7,1,3]=>000000 [3,1,7,5,2,4,6]=>[6,4,2,5,7,1,3]=>000000 [3,1,7,5,2,6,4]=>[4,6,2,5,7,1,3]=>000000 [3,1,7,5,4,2,6]=>[6,2,4,5,7,1,3]=>000000 [3,1,7,5,4,6,2]=>[2,6,4,5,7,1,3]=>000000 [3,1,7,5,6,2,4]=>[4,2,6,5,7,1,3]=>000000 [3,1,7,5,6,4,2]=>[2,4,6,5,7,1,3]=>000000 [3,1,7,6,2,4,5]=>[5,4,2,6,7,1,3]=>000000 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[3,2,4,7,1,6,5]=>[5,6,1,7,4,2,3]=>000000 [3,2,4,7,5,1,6]=>[6,1,5,7,4,2,3]=>000000 [3,2,4,7,5,6,1]=>[1,6,5,7,4,2,3]=>100000 [3,2,4,7,6,1,5]=>[5,1,6,7,4,2,3]=>000000 [3,2,4,7,6,5,1]=>[1,5,6,7,4,2,3]=>100000 [3,2,5,1,4,6,7]=>[7,6,4,1,5,2,3]=>000000 [3,2,5,1,4,7,6]=>[6,7,4,1,5,2,3]=>000000 [3,2,5,1,6,4,7]=>[7,4,6,1,5,2,3]=>000000 [3,2,5,1,6,7,4]=>[4,7,6,1,5,2,3]=>000000 [3,2,5,1,7,4,6]=>[6,4,7,1,5,2,3]=>000000 [3,2,5,1,7,6,4]=>[4,6,7,1,5,2,3]=>000000 [3,2,5,4,1,6,7]=>[7,6,1,4,5,2,3]=>000000 [3,2,5,4,1,7,6]=>[6,7,1,4,5,2,3]=>000000 [3,2,5,4,6,1,7]=>[7,1,6,4,5,2,3]=>000000 [3,2,5,4,6,7,1]=>[1,7,6,4,5,2,3]=>100000 [3,2,5,4,7,1,6]=>[6,1,7,4,5,2,3]=>000000 [3,2,5,4,7,6,1]=>[1,6,7,4,5,2,3]=>100000 [3,2,5,6,1,4,7]=>[7,4,1,6,5,2,3]=>000000 [3,2,5,6,1,7,4]=>[4,7,1,6,5,2,3]=>000000 [3,2,5,6,4,1,7]=>[7,1,4,6,5,2,3]=>000000 [3,2,5,6,4,7,1]=>[1,7,4,6,5,2,3]=>100000 [3,2,5,6,7,1,4]=>[4,1,7,6,5,2,3]=>000000 [3,2,5,6,7,4,1]=>[1,4,7,6,5,2,3]=>100000 [3,2,5,7,1,4,6]=>[6,4,1,7,5,2,3]=>000000 [3,2,5,7,1,6,4]=>[4,6,1,7,5,2,3]=>000000 [3,2,5,7,4,1,6]=>[6,1,4,7,5,2,3]=>000000 [3,2,5,7,4,6,1]=>[1,6,4,7,5,2,3]=>100000 [3,2,5,7,6,1,4]=>[4,1,6,7,5,2,3]=>000000 [3,2,5,7,6,4,1]=>[1,4,6,7,5,2,3]=>100000 [3,2,6,1,4,5,7]=>[7,5,4,1,6,2,3]=>000000 [3,2,6,1,4,7,5]=>[5,7,4,1,6,2,3]=>000000 [3,2,6,1,5,4,7]=>[7,4,5,1,6,2,3]=>000000 [3,2,6,1,5,7,4]=>[4,7,5,1,6,2,3]=>000000 [3,2,6,1,7,4,5]=>[5,4,7,1,6,2,3]=>000000 [3,2,6,1,7,5,4]=>[4,5,7,1,6,2,3]=>000000 [3,2,6,4,1,5,7]=>[7,5,1,4,6,2,3]=>000000 [3,2,6,4,1,7,5]=>[5,7,1,4,6,2,3]=>000000 [3,2,6,4,5,1,7]=>[7,1,5,4,6,2,3]=>000000 [3,2,6,4,5,7,1]=>[1,7,5,4,6,2,3]=>100000 [3,2,6,4,7,1,5]=>[5,1,7,4,6,2,3]=>000000 [3,2,6,4,7,5,1]=>[1,5,7,4,6,2,3]=>100000 [3,2,6,5,1,4,7]=>[7,4,1,5,6,2,3]=>000000 [3,2,6,5,1,7,4]=>[4,7,1,5,6,2,3]=>000000 [3,2,6,5,4,1,7]=>[7,1,4,5,6,2,3]=>000000 [3,2,6,5,4,7,1]=>[1,7,4,5,6,2,3]=>100000 [3,2,6,5,7,1,4]=>[4,1,7,5,6,2,3]=>000000 [3,2,6,5,7,4,1]=>[1,4,7,5,6,2,3]=>100000 [3,2,6,7,1,4,5]=>[5,4,1,7,6,2,3]=>000000 [3,2,6,7,1,5,4]=>[4,5,1,7,6,2,3]=>000000 [3,2,6,7,4,1,5]=>[5,1,4,7,6,2,3]=>000000 [3,2,6,7,4,5,1]=>[1,5,4,7,6,2,3]=>100000 [3,2,6,7,5,1,4]=>[4,1,5,7,6,2,3]=>000000 [3,2,6,7,5,4,1]=>[1,4,5,7,6,2,3]=>100000 [3,2,7,1,4,5,6]=>[6,5,4,1,7,2,3]=>000000 [3,2,7,1,4,6,5]=>[5,6,4,1,7,2,3]=>000000 [3,2,7,1,5,4,6]=>[6,4,5,1,7,2,3]=>000000 [3,2,7,1,5,6,4]=>[4,6,5,1,7,2,3]=>000000 [3,2,7,1,6,4,5]=>[5,4,6,1,7,2,3]=>000000 [3,2,7,1,6,5,4]=>[4,5,6,1,7,2,3]=>000000 [3,2,7,4,1,5,6]=>[6,5,1,4,7,2,3]=>000000 [3,2,7,4,1,6,5]=>[5,6,1,4,7,2,3]=>000000 [3,2,7,4,5,1,6]=>[6,1,5,4,7,2,3]=>000000 [3,2,7,4,5,6,1]=>[1,6,5,4,7,2,3]=>100000 [3,2,7,4,6,1,5]=>[5,1,6,4,7,2,3]=>000000 [3,2,7,4,6,5,1]=>[1,5,6,4,7,2,3]=>100000 [3,2,7,5,1,4,6]=>[6,4,1,5,7,2,3]=>000000 [3,2,7,5,1,6,4]=>[4,6,1,5,7,2,3]=>000000 [3,2,7,5,4,1,6]=>[6,1,4,5,7,2,3]=>000000 [3,2,7,5,4,6,1]=>[1,6,4,5,7,2,3]=>100000 [3,2,7,5,6,1,4]=>[4,1,6,5,7,2,3]=>000000 [3,2,7,5,6,4,1]=>[1,4,6,5,7,2,3]=>100000 [3,2,7,6,1,4,5]=>[5,4,1,6,7,2,3]=>000000 [3,2,7,6,1,5,4]=>[4,5,1,6,7,2,3]=>000000 [3,2,7,6,4,1,5]=>[5,1,4,6,7,2,3]=>000000 [3,2,7,6,4,5,1]=>[1,5,4,6,7,2,3]=>100000 [3,2,7,6,5,1,4]=>[4,1,5,6,7,2,3]=>000000 [3,2,7,6,5,4,1]=>[1,4,5,6,7,2,3]=>100000 [3,4,1,2,5,6,7]=>[7,6,5,2,1,4,3]=>000000 [3,4,1,2,5,7,6]=>[6,7,5,2,1,4,3]=>000000 [3,4,1,2,6,5,7]=>[7,5,6,2,1,4,3]=>000000 [3,4,1,2,6,7,5]=>[5,7,6,2,1,4,3]=>000000 [3,4,1,2,7,5,6]=>[6,5,7,2,1,4,3]=>000000 [3,4,1,2,7,6,5]=>[5,6,7,2,1,4,3]=>000000 [3,4,1,5,2,6,7]=>[7,6,2,5,1,4,3]=>000000 [3,4,1,5,2,7,6]=>[6,7,2,5,1,4,3]=>000000 [3,4,1,5,6,2,7]=>[7,2,6,5,1,4,3]=>000000 [3,4,1,5,6,7,2]=>[2,7,6,5,1,4,3]=>000000 [3,4,1,5,7,2,6]=>[6,2,7,5,1,4,3]=>000000 [3,4,1,5,7,6,2]=>[2,6,7,5,1,4,3]=>000000 [3,4,1,6,2,5,7]=>[7,5,2,6,1,4,3]=>000000 [3,4,1,6,2,7,5]=>[5,7,2,6,1,4,3]=>000000 [3,4,1,6,5,2,7]=>[7,2,5,6,1,4,3]=>000000 [3,4,1,6,5,7,2]=>[2,7,5,6,1,4,3]=>000000 [3,4,1,6,7,2,5]=>[5,2,7,6,1,4,3]=>000000 [3,4,1,6,7,5,2]=>[2,5,7,6,1,4,3]=>000000 [3,4,1,7,2,5,6]=>[6,5,2,7,1,4,3]=>000000 [3,4,1,7,2,6,5]=>[5,6,2,7,1,4,3]=>000000 [3,4,1,7,5,2,6]=>[6,2,5,7,1,4,3]=>000000 [3,4,1,7,5,6,2]=>[2,6,5,7,1,4,3]=>000000 [3,4,1,7,6,2,5]=>[5,2,6,7,1,4,3]=>000000 [3,4,1,7,6,5,2]=>[2,5,6,7,1,4,3]=>000000 [3,4,2,1,5,6,7]=>[7,6,5,1,2,4,3]=>000000 [3,4,2,1,5,7,6]=>[6,7,5,1,2,4,3]=>000000 [3,4,2,1,6,5,7]=>[7,5,6,1,2,4,3]=>000000 [3,4,2,1,6,7,5]=>[5,7,6,1,2,4,3]=>000000 [3,4,2,1,7,5,6]=>[6,5,7,1,2,4,3]=>000000 [3,4,2,1,7,6,5]=>[5,6,7,1,2,4,3]=>000000 [3,4,2,5,1,6,7]=>[7,6,1,5,2,4,3]=>000000 [3,4,2,5,1,7,6]=>[6,7,1,5,2,4,3]=>000000 [3,4,2,5,6,1,7]=>[7,1,6,5,2,4,3]=>000000 [3,4,2,5,6,7,1]=>[1,7,6,5,2,4,3]=>100000 [3,4,2,5,7,1,6]=>[6,1,7,5,2,4,3]=>000000 [3,4,2,5,7,6,1]=>[1,6,7,5,2,4,3]=>100000 [3,4,2,6,1,5,7]=>[7,5,1,6,2,4,3]=>000000 [3,4,2,6,1,7,5]=>[5,7,1,6,2,4,3]=>000000 [3,4,2,6,5,1,7]=>[7,1,5,6,2,4,3]=>000000 [3,4,2,6,5,7,1]=>[1,7,5,6,2,4,3]=>100000 [3,4,2,6,7,1,5]=>[5,1,7,6,2,4,3]=>000000 [3,4,2,6,7,5,1]=>[1,5,7,6,2,4,3]=>100000 [3,4,2,7,1,5,6]=>[6,5,1,7,2,4,3]=>000000 [3,4,2,7,1,6,5]=>[5,6,1,7,2,4,3]=>000000 [3,4,2,7,5,1,6]=>[6,1,5,7,2,4,3]=>000000 [3,4,2,7,5,6,1]=>[1,6,5,7,2,4,3]=>100000 [3,4,2,7,6,1,5]=>[5,1,6,7,2,4,3]=>000000 [3,4,2,7,6,5,1]=>[1,5,6,7,2,4,3]=>100000 [3,4,5,1,2,6,7]=>[7,6,2,1,5,4,3]=>000000 [3,4,5,1,2,7,6]=>[6,7,2,1,5,4,3]=>000000 [3,4,5,1,6,2,7]=>[7,2,6,1,5,4,3]=>000000 [3,4,5,1,6,7,2]=>[2,7,6,1,5,4,3]=>000000 [3,4,5,1,7,2,6]=>[6,2,7,1,5,4,3]=>000000 [3,4,5,1,7,6,2]=>[2,6,7,1,5,4,3]=>000000 [3,4,5,2,1,6,7]=>[7,6,1,2,5,4,3]=>000000 [3,4,5,2,1,7,6]=>[6,7,1,2,5,4,3]=>000000 [3,4,5,2,6,1,7]=>[7,1,6,2,5,4,3]=>000000 [3,4,5,2,6,7,1]=>[1,7,6,2,5,4,3]=>100000 [3,4,5,2,7,1,6]=>[6,1,7,2,5,4,3]=>000000 [3,4,5,2,7,6,1]=>[1,6,7,2,5,4,3]=>100000 [3,4,5,6,1,2,7]=>[7,2,1,6,5,4,3]=>000000 [3,4,5,6,1,7,2]=>[2,7,1,6,5,4,3]=>000000 [3,4,5,6,2,1,7]=>[7,1,2,6,5,4,3]=>000000 [3,4,5,6,2,7,1]=>[1,7,2,6,5,4,3]=>100000 [3,4,5,6,7,1,2]=>[2,1,7,6,5,4,3]=>010000 [3,4,5,6,7,2,1]=>[1,2,7,6,5,4,3]=>110000 [3,4,5,7,1,2,6]=>[6,2,1,7,5,4,3]=>000000 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[3,4,6,7,1,5,2]=>[2,5,1,7,6,4,3]=>000000 [3,4,6,7,2,1,5]=>[5,1,2,7,6,4,3]=>000000 [3,4,6,7,2,5,1]=>[1,5,2,7,6,4,3]=>100000 [3,4,6,7,5,1,2]=>[2,1,5,7,6,4,3]=>010000 [3,4,6,7,5,2,1]=>[1,2,5,7,6,4,3]=>110000 [3,4,7,1,2,5,6]=>[6,5,2,1,7,4,3]=>000000 [3,4,7,1,2,6,5]=>[5,6,2,1,7,4,3]=>000000 [3,4,7,1,5,2,6]=>[6,2,5,1,7,4,3]=>000000 [3,4,7,1,5,6,2]=>[2,6,5,1,7,4,3]=>000000 [3,4,7,1,6,2,5]=>[5,2,6,1,7,4,3]=>000000 [3,4,7,1,6,5,2]=>[2,5,6,1,7,4,3]=>000000 [3,4,7,2,1,5,6]=>[6,5,1,2,7,4,3]=>000000 [3,4,7,2,1,6,5]=>[5,6,1,2,7,4,3]=>000000 [3,4,7,2,5,1,6]=>[6,1,5,2,7,4,3]=>000000 [3,4,7,2,5,6,1]=>[1,6,5,2,7,4,3]=>100000 [3,4,7,2,6,1,5]=>[5,1,6,2,7,4,3]=>000000 [3,4,7,2,6,5,1]=>[1,5,6,2,7,4,3]=>100000 [3,4,7,5,1,2,6]=>[6,2,1,5,7,4,3]=>000000 [3,4,7,5,1,6,2]=>[2,6,1,5,7,4,3]=>000000 [3,4,7,5,2,1,6]=>[6,1,2,5,7,4,3]=>000000 [3,4,7,5,2,6,1]=>[1,6,2,5,7,4,3]=>100000 [3,4,7,5,6,1,2]=>[2,1,6,5,7,4,3]=>010000 [3,4,7,5,6,2,1]=>[1,2,6,5,7,4,3]=>110000 [3,4,7,6,1,2,5]=>[5,2,1,6,7,4,3]=>000000 [3,4,7,6,1,5,2]=>[2,5,1,6,7,4,3]=>000000 [3,4,7,6,2,1,5]=>[5,1,2,6,7,4,3]=>000000 [3,4,7,6,2,5,1]=>[1,5,2,6,7,4,3]=>100000 [3,4,7,6,5,1,2]=>[2,1,5,6,7,4,3]=>010000 [3,4,7,6,5,2,1]=>[1,2,5,6,7,4,3]=>110000 [3,5,1,2,4,6,7]=>[7,6,4,2,1,5,3]=>000000 [3,5,1,2,4,7,6]=>[6,7,4,2,1,5,3]=>000000 [3,5,1,2,6,4,7]=>[7,4,6,2,1,5,3]=>000000 [3,5,1,2,6,7,4]=>[4,7,6,2,1,5,3]=>000000 [3,5,1,2,7,4,6]=>[6,4,7,2,1,5,3]=>000000 [3,5,1,2,7,6,4]=>[4,6,7,2,1,5,3]=>000000 [3,5,1,4,2,6,7]=>[7,6,2,4,1,5,3]=>000000 [3,5,1,4,2,7,6]=>[6,7,2,4,1,5,3]=>000000 [3,5,1,4,6,2,7]=>[7,2,6,4,1,5,3]=>000000 [3,5,1,4,6,7,2]=>[2,7,6,4,1,5,3]=>000000 [3,5,1,4,7,2,6]=>[6,2,7,4,1,5,3]=>000000 [3,5,1,4,7,6,2]=>[2,6,7,4,1,5,3]=>000000 [3,5,1,6,2,4,7]=>[7,4,2,6,1,5,3]=>000000 [3,5,1,6,2,7,4]=>[4,7,2,6,1,5,3]=>000000 [3,5,1,6,4,2,7]=>[7,2,4,6,1,5,3]=>000000 [3,5,1,6,4,7,2]=>[2,7,4,6,1,5,3]=>000000 [3,5,1,6,7,2,4]=>[4,2,7,6,1,5,3]=>000000 [3,5,1,6,7,4,2]=>[2,4,7,6,1,5,3]=>000000 [3,5,1,7,2,4,6]=>[6,4,2,7,1,5,3]=>000000 [3,5,1,7,2,6,4]=>[4,6,2,7,1,5,3]=>000000 [3,5,1,7,4,2,6]=>[6,2,4,7,1,5,3]=>000000 [3,5,1,7,4,6,2]=>[2,6,4,7,1,5,3]=>000000 [3,5,1,7,6,2,4]=>[4,2,6,7,1,5,3]=>000000 [3,5,1,7,6,4,2]=>[2,4,6,7,1,5,3]=>000000 [3,5,2,1,4,6,7]=>[7,6,4,1,2,5,3]=>000000 [3,5,2,1,4,7,6]=>[6,7,4,1,2,5,3]=>000000 [3,5,2,1,6,4,7]=>[7,4,6,1,2,5,3]=>000000 [3,5,2,1,6,7,4]=>[4,7,6,1,2,5,3]=>000000 [3,5,2,1,7,4,6]=>[6,4,7,1,2,5,3]=>000000 [3,5,2,1,7,6,4]=>[4,6,7,1,2,5,3]=>000000 [3,5,2,4,1,6,7]=>[7,6,1,4,2,5,3]=>000000 [3,5,2,4,1,7,6]=>[6,7,1,4,2,5,3]=>000000 [3,5,2,4,6,1,7]=>[7,1,6,4,2,5,3]=>000000 [3,5,2,4,6,7,1]=>[1,7,6,4,2,5,3]=>100000 [3,5,2,4,7,1,6]=>[6,1,7,4,2,5,3]=>000000 [3,5,2,4,7,6,1]=>[1,6,7,4,2,5,3]=>100000 [3,5,2,6,1,4,7]=>[7,4,1,6,2,5,3]=>000000 [3,5,2,6,1,7,4]=>[4,7,1,6,2,5,3]=>000000 [3,5,2,6,4,1,7]=>[7,1,4,6,2,5,3]=>000000 [3,5,2,6,4,7,1]=>[1,7,4,6,2,5,3]=>100000 [3,5,2,6,7,1,4]=>[4,1,7,6,2,5,3]=>000000 [3,5,2,6,7,4,1]=>[1,4,7,6,2,5,3]=>100000 [3,5,2,7,1,4,6]=>[6,4,1,7,2,5,3]=>000000 [3,5,2,7,1,6,4]=>[4,6,1,7,2,5,3]=>000000 [3,5,2,7,4,1,6]=>[6,1,4,7,2,5,3]=>000000 [3,5,2,7,4,6,1]=>[1,6,4,7,2,5,3]=>100000 [3,5,2,7,6,1,4]=>[4,1,6,7,2,5,3]=>000000 [3,5,2,7,6,4,1]=>[1,4,6,7,2,5,3]=>100000 [3,5,4,1,2,6,7]=>[7,6,2,1,4,5,3]=>000000 [3,5,4,1,2,7,6]=>[6,7,2,1,4,5,3]=>000000 [3,5,4,1,6,2,7]=>[7,2,6,1,4,5,3]=>000000 [3,5,4,1,6,7,2]=>[2,7,6,1,4,5,3]=>000000 [3,5,4,1,7,2,6]=>[6,2,7,1,4,5,3]=>000000 [3,5,4,1,7,6,2]=>[2,6,7,1,4,5,3]=>000000 [3,5,4,2,1,6,7]=>[7,6,1,2,4,5,3]=>000000 [3,5,4,2,1,7,6]=>[6,7,1,2,4,5,3]=>000000 [3,5,4,2,6,1,7]=>[7,1,6,2,4,5,3]=>000000 [3,5,4,2,6,7,1]=>[1,7,6,2,4,5,3]=>100000 [3,5,4,2,7,1,6]=>[6,1,7,2,4,5,3]=>000000 [3,5,4,2,7,6,1]=>[1,6,7,2,4,5,3]=>100000 [3,5,4,6,1,2,7]=>[7,2,1,6,4,5,3]=>000000 [3,5,4,6,1,7,2]=>[2,7,1,6,4,5,3]=>000000 [3,5,4,6,2,1,7]=>[7,1,2,6,4,5,3]=>000000 [3,5,4,6,2,7,1]=>[1,7,2,6,4,5,3]=>100000 [3,5,4,6,7,1,2]=>[2,1,7,6,4,5,3]=>010000 [3,5,4,6,7,2,1]=>[1,2,7,6,4,5,3]=>110000 [3,5,4,7,1,2,6]=>[6,2,1,7,4,5,3]=>000000 [3,5,4,7,1,6,2]=>[2,6,1,7,4,5,3]=>000000 [3,5,4,7,2,1,6]=>[6,1,2,7,4,5,3]=>000000 [3,5,4,7,2,6,1]=>[1,6,2,7,4,5,3]=>100000 [3,5,4,7,6,1,2]=>[2,1,6,7,4,5,3]=>010000 [3,5,4,7,6,2,1]=>[1,2,6,7,4,5,3]=>110000 [3,5,6,1,2,4,7]=>[7,4,2,1,6,5,3]=>000000 [3,5,6,1,2,7,4]=>[4,7,2,1,6,5,3]=>000000 [3,5,6,1,4,2,7]=>[7,2,4,1,6,5,3]=>000000 [3,5,6,1,4,7,2]=>[2,7,4,1,6,5,3]=>000000 [3,5,6,1,7,2,4]=>[4,2,7,1,6,5,3]=>000000 [3,5,6,1,7,4,2]=>[2,4,7,1,6,5,3]=>000000 [3,5,6,2,1,4,7]=>[7,4,1,2,6,5,3]=>000000 [3,5,6,2,1,7,4]=>[4,7,1,2,6,5,3]=>000000 [3,5,6,2,4,1,7]=>[7,1,4,2,6,5,3]=>000000 [3,5,6,2,4,7,1]=>[1,7,4,2,6,5,3]=>100000 [3,5,6,2,7,1,4]=>[4,1,7,2,6,5,3]=>000000 [3,5,6,2,7,4,1]=>[1,4,7,2,6,5,3]=>100000 [3,5,6,4,1,2,7]=>[7,2,1,4,6,5,3]=>000000 [3,5,6,4,1,7,2]=>[2,7,1,4,6,5,3]=>000000 [3,5,6,4,2,1,7]=>[7,1,2,4,6,5,3]=>000000 [3,5,6,4,2,7,1]=>[1,7,2,4,6,5,3]=>100000 [3,5,6,4,7,1,2]=>[2,1,7,4,6,5,3]=>010000 [3,5,6,4,7,2,1]=>[1,2,7,4,6,5,3]=>110000 [3,5,6,7,1,2,4]=>[4,2,1,7,6,5,3]=>000000 [3,5,6,7,1,4,2]=>[2,4,1,7,6,5,3]=>000000 [3,5,6,7,2,1,4]=>[4,1,2,7,6,5,3]=>000000 [3,5,6,7,2,4,1]=>[1,4,2,7,6,5,3]=>100000 [3,5,6,7,4,1,2]=>[2,1,4,7,6,5,3]=>010000 [3,5,6,7,4,2,1]=>[1,2,4,7,6,5,3]=>110000 [3,5,7,1,2,4,6]=>[6,4,2,1,7,5,3]=>000000 [3,5,7,1,2,6,4]=>[4,6,2,1,7,5,3]=>000000 [3,5,7,1,4,2,6]=>[6,2,4,1,7,5,3]=>000000 [3,5,7,1,4,6,2]=>[2,6,4,1,7,5,3]=>000000 [3,5,7,1,6,2,4]=>[4,2,6,1,7,5,3]=>000000 [3,5,7,1,6,4,2]=>[2,4,6,1,7,5,3]=>000000 [3,5,7,2,1,4,6]=>[6,4,1,2,7,5,3]=>000000 [3,5,7,2,1,6,4]=>[4,6,1,2,7,5,3]=>000000 [3,5,7,2,4,1,6]=>[6,1,4,2,7,5,3]=>000000 [3,5,7,2,4,6,1]=>[1,6,4,2,7,5,3]=>100000 [3,5,7,2,6,1,4]=>[4,1,6,2,7,5,3]=>000000 [3,5,7,2,6,4,1]=>[1,4,6,2,7,5,3]=>100000 [3,5,7,4,1,2,6]=>[6,2,1,4,7,5,3]=>000000 [3,5,7,4,1,6,2]=>[2,6,1,4,7,5,3]=>000000 [3,5,7,4,2,1,6]=>[6,1,2,4,7,5,3]=>000000 [3,5,7,4,2,6,1]=>[1,6,2,4,7,5,3]=>100000 [3,5,7,4,6,1,2]=>[2,1,6,4,7,5,3]=>010000 [3,5,7,4,6,2,1]=>[1,2,6,4,7,5,3]=>110000 [3,5,7,6,1,2,4]=>[4,2,1,6,7,5,3]=>000000 [3,5,7,6,1,4,2]=>[2,4,1,6,7,5,3]=>000000 [3,5,7,6,2,1,4]=>[4,1,2,6,7,5,3]=>000000 [3,5,7,6,2,4,1]=>[1,4,2,6,7,5,3]=>100000 [3,5,7,6,4,1,2]=>[2,1,4,6,7,5,3]=>010000 [3,5,7,6,4,2,1]=>[1,2,4,6,7,5,3]=>110000 [3,6,1,2,4,5,7]=>[7,5,4,2,1,6,3]=>000000 [3,6,1,2,4,7,5]=>[5,7,4,2,1,6,3]=>000000 [3,6,1,2,5,4,7]=>[7,4,5,2,1,6,3]=>000000 [3,6,1,2,5,7,4]=>[4,7,5,2,1,6,3]=>000000 [3,6,1,2,7,4,5]=>[5,4,7,2,1,6,3]=>000000 [3,6,1,2,7,5,4]=>[4,5,7,2,1,6,3]=>000000 [3,6,1,4,2,5,7]=>[7,5,2,4,1,6,3]=>000000 [3,6,1,4,2,7,5]=>[5,7,2,4,1,6,3]=>000000 [3,6,1,4,5,2,7]=>[7,2,5,4,1,6,3]=>000000 [3,6,1,4,5,7,2]=>[2,7,5,4,1,6,3]=>000000 [3,6,1,4,7,2,5]=>[5,2,7,4,1,6,3]=>000000 [3,6,1,4,7,5,2]=>[2,5,7,4,1,6,3]=>000000 [3,6,1,5,2,4,7]=>[7,4,2,5,1,6,3]=>000000 [3,6,1,5,2,7,4]=>[4,7,2,5,1,6,3]=>000000 [3,6,1,5,4,2,7]=>[7,2,4,5,1,6,3]=>000000 [3,6,1,5,4,7,2]=>[2,7,4,5,1,6,3]=>000000 [3,6,1,5,7,2,4]=>[4,2,7,5,1,6,3]=>000000 [3,6,1,5,7,4,2]=>[2,4,7,5,1,6,3]=>000000 [3,6,1,7,2,4,5]=>[5,4,2,7,1,6,3]=>000000 [3,6,1,7,2,5,4]=>[4,5,2,7,1,6,3]=>000000 [3,6,1,7,4,2,5]=>[5,2,4,7,1,6,3]=>000000 [3,6,1,7,4,5,2]=>[2,5,4,7,1,6,3]=>000000 [3,6,1,7,5,2,4]=>[4,2,5,7,1,6,3]=>000000 [3,6,1,7,5,4,2]=>[2,4,5,7,1,6,3]=>000000 [3,6,2,1,4,5,7]=>[7,5,4,1,2,6,3]=>000000 [3,6,2,1,4,7,5]=>[5,7,4,1,2,6,3]=>000000 [3,6,2,1,5,4,7]=>[7,4,5,1,2,6,3]=>000000 [3,6,2,1,5,7,4]=>[4,7,5,1,2,6,3]=>000000 [3,6,2,1,7,4,5]=>[5,4,7,1,2,6,3]=>000000 [3,6,2,1,7,5,4]=>[4,5,7,1,2,6,3]=>000000 [3,6,2,4,1,5,7]=>[7,5,1,4,2,6,3]=>000000 [3,6,2,4,1,7,5]=>[5,7,1,4,2,6,3]=>000000 [3,6,2,4,5,1,7]=>[7,1,5,4,2,6,3]=>000000 [3,6,2,4,5,7,1]=>[1,7,5,4,2,6,3]=>100000 [3,6,2,4,7,1,5]=>[5,1,7,4,2,6,3]=>000000 [3,6,2,4,7,5,1]=>[1,5,7,4,2,6,3]=>100000 [3,6,2,5,1,4,7]=>[7,4,1,5,2,6,3]=>000000 [3,6,2,5,1,7,4]=>[4,7,1,5,2,6,3]=>000000 [3,6,2,5,4,1,7]=>[7,1,4,5,2,6,3]=>000000 [3,6,2,5,4,7,1]=>[1,7,4,5,2,6,3]=>100000 [3,6,2,5,7,1,4]=>[4,1,7,5,2,6,3]=>000000 [3,6,2,5,7,4,1]=>[1,4,7,5,2,6,3]=>100000 [3,6,2,7,1,4,5]=>[5,4,1,7,2,6,3]=>000000 [3,6,2,7,1,5,4]=>[4,5,1,7,2,6,3]=>000000 [3,6,2,7,4,1,5]=>[5,1,4,7,2,6,3]=>000000 [3,6,2,7,4,5,1]=>[1,5,4,7,2,6,3]=>100000 [3,6,2,7,5,1,4]=>[4,1,5,7,2,6,3]=>000000 [3,6,2,7,5,4,1]=>[1,4,5,7,2,6,3]=>100000 [3,6,4,1,2,5,7]=>[7,5,2,1,4,6,3]=>000000 [3,6,4,1,2,7,5]=>[5,7,2,1,4,6,3]=>000000 [3,6,4,1,5,2,7]=>[7,2,5,1,4,6,3]=>000000 [3,6,4,1,5,7,2]=>[2,7,5,1,4,6,3]=>000000 [3,6,4,1,7,2,5]=>[5,2,7,1,4,6,3]=>000000 [3,6,4,1,7,5,2]=>[2,5,7,1,4,6,3]=>000000 [3,6,4,2,1,5,7]=>[7,5,1,2,4,6,3]=>000000 [3,6,4,2,1,7,5]=>[5,7,1,2,4,6,3]=>000000 [3,6,4,2,5,1,7]=>[7,1,5,2,4,6,3]=>000000 [3,6,4,2,5,7,1]=>[1,7,5,2,4,6,3]=>100000 [3,6,4,2,7,1,5]=>[5,1,7,2,4,6,3]=>000000 [3,6,4,2,7,5,1]=>[1,5,7,2,4,6,3]=>100000 [3,6,4,5,1,2,7]=>[7,2,1,5,4,6,3]=>000000 [3,6,4,5,1,7,2]=>[2,7,1,5,4,6,3]=>000000 [3,6,4,5,2,1,7]=>[7,1,2,5,4,6,3]=>000000 [3,6,4,5,2,7,1]=>[1,7,2,5,4,6,3]=>100000 [3,6,4,5,7,1,2]=>[2,1,7,5,4,6,3]=>010000 [3,6,4,5,7,2,1]=>[1,2,7,5,4,6,3]=>110000 [3,6,4,7,1,2,5]=>[5,2,1,7,4,6,3]=>000000 [3,6,4,7,1,5,2]=>[2,5,1,7,4,6,3]=>000000 [3,6,4,7,2,1,5]=>[5,1,2,7,4,6,3]=>000000 [3,6,4,7,2,5,1]=>[1,5,2,7,4,6,3]=>100000 [3,6,4,7,5,1,2]=>[2,1,5,7,4,6,3]=>010000 [3,6,4,7,5,2,1]=>[1,2,5,7,4,6,3]=>110000 [3,6,5,1,2,4,7]=>[7,4,2,1,5,6,3]=>000000 [3,6,5,1,2,7,4]=>[4,7,2,1,5,6,3]=>000000 [3,6,5,1,4,2,7]=>[7,2,4,1,5,6,3]=>000000 [3,6,5,1,4,7,2]=>[2,7,4,1,5,6,3]=>000000 [3,6,5,1,7,2,4]=>[4,2,7,1,5,6,3]=>000000 [3,6,5,1,7,4,2]=>[2,4,7,1,5,6,3]=>000000 [3,6,5,2,1,4,7]=>[7,4,1,2,5,6,3]=>000000 [3,6,5,2,1,7,4]=>[4,7,1,2,5,6,3]=>000000 [3,6,5,2,4,1,7]=>[7,1,4,2,5,6,3]=>000000 [3,6,5,2,4,7,1]=>[1,7,4,2,5,6,3]=>100000 [3,6,5,2,7,1,4]=>[4,1,7,2,5,6,3]=>000000 [3,6,5,2,7,4,1]=>[1,4,7,2,5,6,3]=>100000 [3,6,5,4,1,2,7]=>[7,2,1,4,5,6,3]=>000000 [3,6,5,4,1,7,2]=>[2,7,1,4,5,6,3]=>000000 [3,6,5,4,2,1,7]=>[7,1,2,4,5,6,3]=>000000 [3,6,5,4,2,7,1]=>[1,7,2,4,5,6,3]=>100000 [3,6,5,4,7,1,2]=>[2,1,7,4,5,6,3]=>010000 [3,6,5,4,7,2,1]=>[1,2,7,4,5,6,3]=>110000 [3,6,5,7,1,2,4]=>[4,2,1,7,5,6,3]=>000000 [3,6,5,7,1,4,2]=>[2,4,1,7,5,6,3]=>000000 [3,6,5,7,2,1,4]=>[4,1,2,7,5,6,3]=>000000 [3,6,5,7,2,4,1]=>[1,4,2,7,5,6,3]=>100000 [3,6,5,7,4,1,2]=>[2,1,4,7,5,6,3]=>010000 [3,6,5,7,4,2,1]=>[1,2,4,7,5,6,3]=>110000 [3,6,7,1,2,4,5]=>[5,4,2,1,7,6,3]=>000000 [3,6,7,1,2,5,4]=>[4,5,2,1,7,6,3]=>000000 [3,6,7,1,4,2,5]=>[5,2,4,1,7,6,3]=>000000 [3,6,7,1,4,5,2]=>[2,5,4,1,7,6,3]=>000000 [3,6,7,1,5,2,4]=>[4,2,5,1,7,6,3]=>000000 [3,6,7,1,5,4,2]=>[2,4,5,1,7,6,3]=>000000 [3,6,7,2,1,4,5]=>[5,4,1,2,7,6,3]=>000000 [3,6,7,2,1,5,4]=>[4,5,1,2,7,6,3]=>000000 [3,6,7,2,4,1,5]=>[5,1,4,2,7,6,3]=>000000 [3,6,7,2,4,5,1]=>[1,5,4,2,7,6,3]=>100000 [3,6,7,2,5,1,4]=>[4,1,5,2,7,6,3]=>000000 [3,6,7,2,5,4,1]=>[1,4,5,2,7,6,3]=>100000 [3,6,7,4,1,2,5]=>[5,2,1,4,7,6,3]=>000000 [3,6,7,4,1,5,2]=>[2,5,1,4,7,6,3]=>000000 [3,6,7,4,2,1,5]=>[5,1,2,4,7,6,3]=>000000 [3,6,7,4,2,5,1]=>[1,5,2,4,7,6,3]=>100000 [3,6,7,4,5,1,2]=>[2,1,5,4,7,6,3]=>010000 [3,6,7,4,5,2,1]=>[1,2,5,4,7,6,3]=>110000 [3,6,7,5,1,2,4]=>[4,2,1,5,7,6,3]=>000000 [3,6,7,5,1,4,2]=>[2,4,1,5,7,6,3]=>000000 [3,6,7,5,2,1,4]=>[4,1,2,5,7,6,3]=>000000 [3,6,7,5,2,4,1]=>[1,4,2,5,7,6,3]=>100000 [3,6,7,5,4,1,2]=>[2,1,4,5,7,6,3]=>010000 [3,6,7,5,4,2,1]=>[1,2,4,5,7,6,3]=>110000 [3,7,1,2,4,5,6]=>[6,5,4,2,1,7,3]=>000000 [3,7,1,2,4,6,5]=>[5,6,4,2,1,7,3]=>000000 [3,7,1,2,5,4,6]=>[6,4,5,2,1,7,3]=>000000 [3,7,1,2,5,6,4]=>[4,6,5,2,1,7,3]=>000000 [3,7,1,2,6,4,5]=>[5,4,6,2,1,7,3]=>000000 [3,7,1,2,6,5,4]=>[4,5,6,2,1,7,3]=>000000 [3,7,1,4,2,5,6]=>[6,5,2,4,1,7,3]=>000000 [3,7,1,4,2,6,5]=>[5,6,2,4,1,7,3]=>000000 [3,7,1,4,5,2,6]=>[6,2,5,4,1,7,3]=>000000 [3,7,1,4,5,6,2]=>[2,6,5,4,1,7,3]=>000000 [3,7,1,4,6,2,5]=>[5,2,6,4,1,7,3]=>000000 [3,7,1,4,6,5,2]=>[2,5,6,4,1,7,3]=>000000 [3,7,1,5,2,4,6]=>[6,4,2,5,1,7,3]=>000000 [3,7,1,5,2,6,4]=>[4,6,2,5,1,7,3]=>000000 [3,7,1,5,4,2,6]=>[6,2,4,5,1,7,3]=>000000 [3,7,1,5,4,6,2]=>[2,6,4,5,1,7,3]=>000000 [3,7,1,5,6,2,4]=>[4,2,6,5,1,7,3]=>000000 [3,7,1,5,6,4,2]=>[2,4,6,5,1,7,3]=>000000 [3,7,1,6,2,4,5]=>[5,4,2,6,1,7,3]=>000000 [3,7,1,6,2,5,4]=>[4,5,2,6,1,7,3]=>000000 [3,7,1,6,4,2,5]=>[5,2,4,6,1,7,3]=>000000 [3,7,1,6,4,5,2]=>[2,5,4,6,1,7,3]=>000000 [3,7,1,6,5,2,4]=>[4,2,5,6,1,7,3]=>000000 [3,7,1,6,5,4,2]=>[2,4,5,6,1,7,3]=>000000 [3,7,2,1,4,5,6]=>[6,5,4,1,2,7,3]=>000000 [3,7,2,1,4,6,5]=>[5,6,4,1,2,7,3]=>000000 [3,7,2,1,5,4,6]=>[6,4,5,1,2,7,3]=>000000 [3,7,2,1,5,6,4]=>[4,6,5,1,2,7,3]=>000000 [3,7,2,1,6,4,5]=>[5,4,6,1,2,7,3]=>000000 [3,7,2,1,6,5,4]=>[4,5,6,1,2,7,3]=>000000 [3,7,2,4,1,5,6]=>[6,5,1,4,2,7,3]=>000000 [3,7,2,4,1,6,5]=>[5,6,1,4,2,7,3]=>000000 [3,7,2,4,5,1,6]=>[6,1,5,4,2,7,3]=>000000 [3,7,2,4,5,6,1]=>[1,6,5,4,2,7,3]=>100000 [3,7,2,4,6,1,5]=>[5,1,6,4,2,7,3]=>000000 [3,7,2,4,6,5,1]=>[1,5,6,4,2,7,3]=>100000 [3,7,2,5,1,4,6]=>[6,4,1,5,2,7,3]=>000000 [3,7,2,5,1,6,4]=>[4,6,1,5,2,7,3]=>000000 [3,7,2,5,4,1,6]=>[6,1,4,5,2,7,3]=>000000 [3,7,2,5,4,6,1]=>[1,6,4,5,2,7,3]=>100000 [3,7,2,5,6,1,4]=>[4,1,6,5,2,7,3]=>000000 [3,7,2,5,6,4,1]=>[1,4,6,5,2,7,3]=>100000 [3,7,2,6,1,4,5]=>[5,4,1,6,2,7,3]=>000000 [3,7,2,6,1,5,4]=>[4,5,1,6,2,7,3]=>000000 [3,7,2,6,4,1,5]=>[5,1,4,6,2,7,3]=>000000 [3,7,2,6,4,5,1]=>[1,5,4,6,2,7,3]=>100000 [3,7,2,6,5,1,4]=>[4,1,5,6,2,7,3]=>000000 [3,7,2,6,5,4,1]=>[1,4,5,6,2,7,3]=>100000 [3,7,4,1,2,5,6]=>[6,5,2,1,4,7,3]=>000000 [3,7,4,1,2,6,5]=>[5,6,2,1,4,7,3]=>000000 [3,7,4,1,5,2,6]=>[6,2,5,1,4,7,3]=>000000 [3,7,4,1,5,6,2]=>[2,6,5,1,4,7,3]=>000000 [3,7,4,1,6,2,5]=>[5,2,6,1,4,7,3]=>000000 [3,7,4,1,6,5,2]=>[2,5,6,1,4,7,3]=>000000 [3,7,4,2,1,5,6]=>[6,5,1,2,4,7,3]=>000000 [3,7,4,2,1,6,5]=>[5,6,1,2,4,7,3]=>000000 [3,7,4,2,5,1,6]=>[6,1,5,2,4,7,3]=>000000 [3,7,4,2,5,6,1]=>[1,6,5,2,4,7,3]=>100000 [3,7,4,2,6,1,5]=>[5,1,6,2,4,7,3]=>000000 [3,7,4,2,6,5,1]=>[1,5,6,2,4,7,3]=>100000 [3,7,4,5,1,2,6]=>[6,2,1,5,4,7,3]=>000000 [3,7,4,5,1,6,2]=>[2,6,1,5,4,7,3]=>000000 [3,7,4,5,2,1,6]=>[6,1,2,5,4,7,3]=>000000 [3,7,4,5,2,6,1]=>[1,6,2,5,4,7,3]=>100000 [3,7,4,5,6,1,2]=>[2,1,6,5,4,7,3]=>010000 [3,7,4,5,6,2,1]=>[1,2,6,5,4,7,3]=>110000 [3,7,4,6,1,2,5]=>[5,2,1,6,4,7,3]=>000000 [3,7,4,6,1,5,2]=>[2,5,1,6,4,7,3]=>000000 [3,7,4,6,2,1,5]=>[5,1,2,6,4,7,3]=>000000 [3,7,4,6,2,5,1]=>[1,5,2,6,4,7,3]=>100000 [3,7,4,6,5,1,2]=>[2,1,5,6,4,7,3]=>010000 [3,7,4,6,5,2,1]=>[1,2,5,6,4,7,3]=>110000 [3,7,5,1,2,4,6]=>[6,4,2,1,5,7,3]=>000000 [3,7,5,1,2,6,4]=>[4,6,2,1,5,7,3]=>000000 [3,7,5,1,4,2,6]=>[6,2,4,1,5,7,3]=>000000 [3,7,5,1,4,6,2]=>[2,6,4,1,5,7,3]=>000000 [3,7,5,1,6,2,4]=>[4,2,6,1,5,7,3]=>000000 [3,7,5,1,6,4,2]=>[2,4,6,1,5,7,3]=>000000 [3,7,5,2,1,4,6]=>[6,4,1,2,5,7,3]=>000000 [3,7,5,2,1,6,4]=>[4,6,1,2,5,7,3]=>000000 [3,7,5,2,4,1,6]=>[6,1,4,2,5,7,3]=>000000 [3,7,5,2,4,6,1]=>[1,6,4,2,5,7,3]=>100000 [3,7,5,2,6,1,4]=>[4,1,6,2,5,7,3]=>000000 [3,7,5,2,6,4,1]=>[1,4,6,2,5,7,3]=>100000 [3,7,5,4,1,2,6]=>[6,2,1,4,5,7,3]=>000000 [3,7,5,4,1,6,2]=>[2,6,1,4,5,7,3]=>000000 [3,7,5,4,2,1,6]=>[6,1,2,4,5,7,3]=>000000 [3,7,5,4,2,6,1]=>[1,6,2,4,5,7,3]=>100000 [3,7,5,4,6,1,2]=>[2,1,6,4,5,7,3]=>010000 [3,7,5,4,6,2,1]=>[1,2,6,4,5,7,3]=>110000 [3,7,5,6,1,2,4]=>[4,2,1,6,5,7,3]=>000000 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[4,2,6,7,1,5,3]=>[3,5,1,7,6,2,4]=>000000 [4,2,6,7,3,1,5]=>[5,1,3,7,6,2,4]=>000000 [4,2,6,7,3,5,1]=>[1,5,3,7,6,2,4]=>100000 [4,2,6,7,5,1,3]=>[3,1,5,7,6,2,4]=>000000 [4,2,6,7,5,3,1]=>[1,3,5,7,6,2,4]=>100000 [4,2,7,1,3,5,6]=>[6,5,3,1,7,2,4]=>000000 [4,2,7,1,3,6,5]=>[5,6,3,1,7,2,4]=>000000 [4,2,7,1,5,3,6]=>[6,3,5,1,7,2,4]=>000000 [4,2,7,1,5,6,3]=>[3,6,5,1,7,2,4]=>000000 [4,2,7,1,6,3,5]=>[5,3,6,1,7,2,4]=>000000 [4,2,7,1,6,5,3]=>[3,5,6,1,7,2,4]=>000000 [4,2,7,3,1,5,6]=>[6,5,1,3,7,2,4]=>000000 [4,2,7,3,1,6,5]=>[5,6,1,3,7,2,4]=>000000 [4,2,7,3,5,1,6]=>[6,1,5,3,7,2,4]=>000000 [4,2,7,3,5,6,1]=>[1,6,5,3,7,2,4]=>100000 [4,2,7,3,6,1,5]=>[5,1,6,3,7,2,4]=>000000 [4,2,7,3,6,5,1]=>[1,5,6,3,7,2,4]=>100000 [4,2,7,5,1,3,6]=>[6,3,1,5,7,2,4]=>000000 [4,2,7,5,1,6,3]=>[3,6,1,5,7,2,4]=>000000 [4,2,7,5,3,1,6]=>[6,1,3,5,7,2,4]=>000000 [4,2,7,5,3,6,1]=>[1,6,3,5,7,2,4]=>100000 [4,2,7,5,6,1,3]=>[3,1,6,5,7,2,4]=>000000 [4,2,7,5,6,3,1]=>[1,3,6,5,7,2,4]=>100000 [4,2,7,6,1,3,5]=>[5,3,1,6,7,2,4]=>000000 [4,2,7,6,1,5,3]=>[3,5,1,6,7,2,4]=>000000 [4,2,7,6,3,1,5]=>[5,1,3,6,7,2,4]=>000000 [4,2,7,6,3,5,1]=>[1,5,3,6,7,2,4]=>100000 [4,2,7,6,5,1,3]=>[3,1,5,6,7,2,4]=>000000 [4,2,7,6,5,3,1]=>[1,3,5,6,7,2,4]=>100000 [4,3,1,2,5,6,7]=>[7,6,5,2,1,3,4]=>000000 [4,3,1,2,5,7,6]=>[6,7,5,2,1,3,4]=>000000 [4,3,1,2,6,5,7]=>[7,5,6,2,1,3,4]=>000000 [4,3,1,2,6,7,5]=>[5,7,6,2,1,3,4]=>000000 [4,3,1,2,7,5,6]=>[6,5,7,2,1,3,4]=>000000 [4,3,1,2,7,6,5]=>[5,6,7,2,1,3,4]=>000000 [4,3,1,5,2,6,7]=>[7,6,2,5,1,3,4]=>000000 [4,3,1,5,2,7,6]=>[6,7,2,5,1,3,4]=>000000 [4,3,1,5,6,2,7]=>[7,2,6,5,1,3,4]=>000000 [4,3,1,5,6,7,2]=>[2,7,6,5,1,3,4]=>000000 [4,3,1,5,7,2,6]=>[6,2,7,5,1,3,4]=>000000 [4,3,1,5,7,6,2]=>[2,6,7,5,1,3,4]=>000000 [4,3,1,6,2,5,7]=>[7,5,2,6,1,3,4]=>000000 [4,3,1,6,2,7,5]=>[5,7,2,6,1,3,4]=>000000 [4,3,1,6,5,2,7]=>[7,2,5,6,1,3,4]=>000000 [4,3,1,6,5,7,2]=>[2,7,5,6,1,3,4]=>000000 [4,3,1,6,7,2,5]=>[5,2,7,6,1,3,4]=>000000 [4,3,1,6,7,5,2]=>[2,5,7,6,1,3,4]=>000000 [4,3,1,7,2,5,6]=>[6,5,2,7,1,3,4]=>000000 [4,3,1,7,2,6,5]=>[5,6,2,7,1,3,4]=>000000 [4,3,1,7,5,2,6]=>[6,2,5,7,1,3,4]=>000000 [4,3,1,7,5,6,2]=>[2,6,5,7,1,3,4]=>000000 [4,3,1,7,6,2,5]=>[5,2,6,7,1,3,4]=>000000 [4,3,1,7,6,5,2]=>[2,5,6,7,1,3,4]=>000000 [4,3,2,1,5,6,7]=>[7,6,5,1,2,3,4]=>000000 [4,3,2,1,5,7,6]=>[6,7,5,1,2,3,4]=>000000 [4,3,2,1,6,5,7]=>[7,5,6,1,2,3,4]=>000000 [4,3,2,1,6,7,5]=>[5,7,6,1,2,3,4]=>000000 [4,3,2,1,7,5,6]=>[6,5,7,1,2,3,4]=>000000 [4,3,2,1,7,6,5]=>[5,6,7,1,2,3,4]=>000000 [4,3,2,5,1,6,7]=>[7,6,1,5,2,3,4]=>000000 [4,3,2,5,1,7,6]=>[6,7,1,5,2,3,4]=>000000 [4,3,2,5,6,1,7]=>[7,1,6,5,2,3,4]=>000000 [4,3,2,5,6,7,1]=>[1,7,6,5,2,3,4]=>100000 [4,3,2,5,7,1,6]=>[6,1,7,5,2,3,4]=>000000 [4,3,2,5,7,6,1]=>[1,6,7,5,2,3,4]=>100000 [4,3,2,6,1,5,7]=>[7,5,1,6,2,3,4]=>000000 [4,3,2,6,1,7,5]=>[5,7,1,6,2,3,4]=>000000 [4,3,2,6,5,1,7]=>[7,1,5,6,2,3,4]=>000000 [4,3,2,6,5,7,1]=>[1,7,5,6,2,3,4]=>100000 [4,3,2,6,7,1,5]=>[5,1,7,6,2,3,4]=>000000 [4,3,2,6,7,5,1]=>[1,5,7,6,2,3,4]=>100000 [4,3,2,7,1,5,6]=>[6,5,1,7,2,3,4]=>000000 [4,3,2,7,1,6,5]=>[5,6,1,7,2,3,4]=>000000 [4,3,2,7,5,1,6]=>[6,1,5,7,2,3,4]=>000000 [4,3,2,7,5,6,1]=>[1,6,5,7,2,3,4]=>100000 [4,3,2,7,6,1,5]=>[5,1,6,7,2,3,4]=>000000 [4,3,2,7,6,5,1]=>[1,5,6,7,2,3,4]=>100000 [4,3,5,1,2,6,7]=>[7,6,2,1,5,3,4]=>000000 [4,3,5,1,2,7,6]=>[6,7,2,1,5,3,4]=>000000 [4,3,5,1,6,2,7]=>[7,2,6,1,5,3,4]=>000000 [4,3,5,1,6,7,2]=>[2,7,6,1,5,3,4]=>000000 [4,3,5,1,7,2,6]=>[6,2,7,1,5,3,4]=>000000 [4,3,5,1,7,6,2]=>[2,6,7,1,5,3,4]=>000000 [4,3,5,2,1,6,7]=>[7,6,1,2,5,3,4]=>000000 [4,3,5,2,1,7,6]=>[6,7,1,2,5,3,4]=>000000 [4,3,5,2,6,1,7]=>[7,1,6,2,5,3,4]=>000000 [4,3,5,2,6,7,1]=>[1,7,6,2,5,3,4]=>100000 [4,3,5,2,7,1,6]=>[6,1,7,2,5,3,4]=>000000 [4,3,5,2,7,6,1]=>[1,6,7,2,5,3,4]=>100000 [4,3,5,6,1,2,7]=>[7,2,1,6,5,3,4]=>000000 [4,3,5,6,1,7,2]=>[2,7,1,6,5,3,4]=>000000 [4,3,5,6,2,1,7]=>[7,1,2,6,5,3,4]=>000000 [4,3,5,6,2,7,1]=>[1,7,2,6,5,3,4]=>100000 [4,3,5,6,7,1,2]=>[2,1,7,6,5,3,4]=>010000 [4,3,5,6,7,2,1]=>[1,2,7,6,5,3,4]=>110000 [4,3,5,7,1,2,6]=>[6,2,1,7,5,3,4]=>000000 [4,3,5,7,1,6,2]=>[2,6,1,7,5,3,4]=>000000 [4,3,5,7,2,1,6]=>[6,1,2,7,5,3,4]=>000000 [4,3,5,7,2,6,1]=>[1,6,2,7,5,3,4]=>100000 [4,3,5,7,6,1,2]=>[2,1,6,7,5,3,4]=>010000 [4,3,5,7,6,2,1]=>[1,2,6,7,5,3,4]=>110000 [4,3,6,1,2,5,7]=>[7,5,2,1,6,3,4]=>000000 [4,3,6,1,2,7,5]=>[5,7,2,1,6,3,4]=>000000 [4,3,6,1,5,2,7]=>[7,2,5,1,6,3,4]=>000000 [4,3,6,1,5,7,2]=>[2,7,5,1,6,3,4]=>000000 [4,3,6,1,7,2,5]=>[5,2,7,1,6,3,4]=>000000 [4,3,6,1,7,5,2]=>[2,5,7,1,6,3,4]=>000000 [4,3,6,2,1,5,7]=>[7,5,1,2,6,3,4]=>000000 [4,3,6,2,1,7,5]=>[5,7,1,2,6,3,4]=>000000 [4,3,6,2,5,1,7]=>[7,1,5,2,6,3,4]=>000000 [4,3,6,2,5,7,1]=>[1,7,5,2,6,3,4]=>100000 [4,3,6,2,7,1,5]=>[5,1,7,2,6,3,4]=>000000 [4,3,6,2,7,5,1]=>[1,5,7,2,6,3,4]=>100000 [4,3,6,5,1,2,7]=>[7,2,1,5,6,3,4]=>000000 [4,3,6,5,1,7,2]=>[2,7,1,5,6,3,4]=>000000 [4,3,6,5,2,1,7]=>[7,1,2,5,6,3,4]=>000000 [4,3,6,5,2,7,1]=>[1,7,2,5,6,3,4]=>100000 [4,3,6,5,7,1,2]=>[2,1,7,5,6,3,4]=>010000 [4,3,6,5,7,2,1]=>[1,2,7,5,6,3,4]=>110000 [4,3,6,7,1,2,5]=>[5,2,1,7,6,3,4]=>000000 [4,3,6,7,1,5,2]=>[2,5,1,7,6,3,4]=>000000 [4,3,6,7,2,1,5]=>[5,1,2,7,6,3,4]=>000000 [4,3,6,7,2,5,1]=>[1,5,2,7,6,3,4]=>100000 [4,3,6,7,5,1,2]=>[2,1,5,7,6,3,4]=>010000 [4,3,6,7,5,2,1]=>[1,2,5,7,6,3,4]=>110000 [4,3,7,1,2,5,6]=>[6,5,2,1,7,3,4]=>000000 [4,3,7,1,2,6,5]=>[5,6,2,1,7,3,4]=>000000 [4,3,7,1,5,2,6]=>[6,2,5,1,7,3,4]=>000000 [4,3,7,1,5,6,2]=>[2,6,5,1,7,3,4]=>000000 [4,3,7,1,6,2,5]=>[5,2,6,1,7,3,4]=>000000 [4,3,7,1,6,5,2]=>[2,5,6,1,7,3,4]=>000000 [4,3,7,2,1,5,6]=>[6,5,1,2,7,3,4]=>000000 [4,3,7,2,1,6,5]=>[5,6,1,2,7,3,4]=>000000 [4,3,7,2,5,1,6]=>[6,1,5,2,7,3,4]=>000000 [4,3,7,2,5,6,1]=>[1,6,5,2,7,3,4]=>100000 [4,3,7,2,6,1,5]=>[5,1,6,2,7,3,4]=>000000 [4,3,7,2,6,5,1]=>[1,5,6,2,7,3,4]=>100000 [4,3,7,5,1,2,6]=>[6,2,1,5,7,3,4]=>000000 [4,3,7,5,1,6,2]=>[2,6,1,5,7,3,4]=>000000 [4,3,7,5,2,1,6]=>[6,1,2,5,7,3,4]=>000000 [4,3,7,5,2,6,1]=>[1,6,2,5,7,3,4]=>100000 [4,3,7,5,6,1,2]=>[2,1,6,5,7,3,4]=>010000 [4,3,7,5,6,2,1]=>[1,2,6,5,7,3,4]=>110000 [4,3,7,6,1,2,5]=>[5,2,1,6,7,3,4]=>000000 [4,3,7,6,1,5,2]=>[2,5,1,6,7,3,4]=>000000 [4,3,7,6,2,1,5]=>[5,1,2,6,7,3,4]=>000000 [4,3,7,6,2,5,1]=>[1,5,2,6,7,3,4]=>100000 [4,3,7,6,5,1,2]=>[2,1,5,6,7,3,4]=>010000 [4,3,7,6,5,2,1]=>[1,2,5,6,7,3,4]=>110000 [4,5,1,2,3,6,7]=>[7,6,3,2,1,5,4]=>000000 [4,5,1,2,3,7,6]=>[6,7,3,2,1,5,4]=>000000 [4,5,1,2,6,3,7]=>[7,3,6,2,1,5,4]=>000000 [4,5,1,2,6,7,3]=>[3,7,6,2,1,5,4]=>000000 [4,5,1,2,7,3,6]=>[6,3,7,2,1,5,4]=>000000 [4,5,1,2,7,6,3]=>[3,6,7,2,1,5,4]=>000000 [4,5,1,3,2,6,7]=>[7,6,2,3,1,5,4]=>000000 [4,5,1,3,2,7,6]=>[6,7,2,3,1,5,4]=>000000 [4,5,1,3,6,2,7]=>[7,2,6,3,1,5,4]=>000000 [4,5,1,3,6,7,2]=>[2,7,6,3,1,5,4]=>000000 [4,5,1,3,7,2,6]=>[6,2,7,3,1,5,4]=>000000 [4,5,1,3,7,6,2]=>[2,6,7,3,1,5,4]=>000000 [4,5,1,6,2,3,7]=>[7,3,2,6,1,5,4]=>000000 [4,5,1,6,2,7,3]=>[3,7,2,6,1,5,4]=>000000 [4,5,1,6,3,2,7]=>[7,2,3,6,1,5,4]=>000000 [4,5,1,6,3,7,2]=>[2,7,3,6,1,5,4]=>000000 [4,5,1,6,7,2,3]=>[3,2,7,6,1,5,4]=>000000 [4,5,1,6,7,3,2]=>[2,3,7,6,1,5,4]=>000000 [4,5,1,7,2,3,6]=>[6,3,2,7,1,5,4]=>000000 [4,5,1,7,2,6,3]=>[3,6,2,7,1,5,4]=>000000 [4,5,1,7,3,2,6]=>[6,2,3,7,1,5,4]=>000000 [4,5,1,7,3,6,2]=>[2,6,3,7,1,5,4]=>000000 [4,5,1,7,6,2,3]=>[3,2,6,7,1,5,4]=>000000 [4,5,1,7,6,3,2]=>[2,3,6,7,1,5,4]=>000000 [4,5,2,1,3,6,7]=>[7,6,3,1,2,5,4]=>000000 [4,5,2,1,3,7,6]=>[6,7,3,1,2,5,4]=>000000 [4,5,2,1,6,3,7]=>[7,3,6,1,2,5,4]=>000000 [4,5,2,1,6,7,3]=>[3,7,6,1,2,5,4]=>000000 [4,5,2,1,7,3,6]=>[6,3,7,1,2,5,4]=>000000 [4,5,2,1,7,6,3]=>[3,6,7,1,2,5,4]=>000000 [4,5,2,3,1,6,7]=>[7,6,1,3,2,5,4]=>000000 [4,5,2,3,1,7,6]=>[6,7,1,3,2,5,4]=>000000 [4,5,2,3,6,1,7]=>[7,1,6,3,2,5,4]=>000000 [4,5,2,3,6,7,1]=>[1,7,6,3,2,5,4]=>100000 [4,5,2,3,7,1,6]=>[6,1,7,3,2,5,4]=>000000 [4,5,2,3,7,6,1]=>[1,6,7,3,2,5,4]=>100000 [4,5,2,6,1,3,7]=>[7,3,1,6,2,5,4]=>000000 [4,5,2,6,1,7,3]=>[3,7,1,6,2,5,4]=>000000 [4,5,2,6,3,1,7]=>[7,1,3,6,2,5,4]=>000000 [4,5,2,6,3,7,1]=>[1,7,3,6,2,5,4]=>100000 [4,5,2,6,7,1,3]=>[3,1,7,6,2,5,4]=>000000 [4,5,2,6,7,3,1]=>[1,3,7,6,2,5,4]=>100000 [4,5,2,7,1,3,6]=>[6,3,1,7,2,5,4]=>000000 [4,5,2,7,1,6,3]=>[3,6,1,7,2,5,4]=>000000 [4,5,2,7,3,1,6]=>[6,1,3,7,2,5,4]=>000000 [4,5,2,7,3,6,1]=>[1,6,3,7,2,5,4]=>100000 [4,5,2,7,6,1,3]=>[3,1,6,7,2,5,4]=>000000 [4,5,2,7,6,3,1]=>[1,3,6,7,2,5,4]=>100000 [4,5,3,1,2,6,7]=>[7,6,2,1,3,5,4]=>000000 [4,5,3,1,2,7,6]=>[6,7,2,1,3,5,4]=>000000 [4,5,3,1,6,2,7]=>[7,2,6,1,3,5,4]=>000000 [4,5,3,1,6,7,2]=>[2,7,6,1,3,5,4]=>000000 [4,5,3,1,7,2,6]=>[6,2,7,1,3,5,4]=>000000 [4,5,3,1,7,6,2]=>[2,6,7,1,3,5,4]=>000000 [4,5,3,2,1,6,7]=>[7,6,1,2,3,5,4]=>000000 [4,5,3,2,1,7,6]=>[6,7,1,2,3,5,4]=>000000 [4,5,3,2,6,1,7]=>[7,1,6,2,3,5,4]=>000000 [4,5,3,2,6,7,1]=>[1,7,6,2,3,5,4]=>100000 [4,5,3,2,7,1,6]=>[6,1,7,2,3,5,4]=>000000 [4,5,3,2,7,6,1]=>[1,6,7,2,3,5,4]=>100000 [4,5,3,6,1,2,7]=>[7,2,1,6,3,5,4]=>000000 [4,5,3,6,1,7,2]=>[2,7,1,6,3,5,4]=>000000 [4,5,3,6,2,1,7]=>[7,1,2,6,3,5,4]=>000000 [4,5,3,6,2,7,1]=>[1,7,2,6,3,5,4]=>100000 [4,5,3,6,7,1,2]=>[2,1,7,6,3,5,4]=>010000 [4,5,3,6,7,2,1]=>[1,2,7,6,3,5,4]=>110000 [4,5,3,7,1,2,6]=>[6,2,1,7,3,5,4]=>000000 [4,5,3,7,1,6,2]=>[2,6,1,7,3,5,4]=>000000 [4,5,3,7,2,1,6]=>[6,1,2,7,3,5,4]=>000000 [4,5,3,7,2,6,1]=>[1,6,2,7,3,5,4]=>100000 [4,5,3,7,6,1,2]=>[2,1,6,7,3,5,4]=>010000 [4,5,3,7,6,2,1]=>[1,2,6,7,3,5,4]=>110000 [4,5,6,1,2,3,7]=>[7,3,2,1,6,5,4]=>000000 [4,5,6,1,2,7,3]=>[3,7,2,1,6,5,4]=>000000 [4,5,6,1,3,2,7]=>[7,2,3,1,6,5,4]=>000000 [4,5,6,1,3,7,2]=>[2,7,3,1,6,5,4]=>000000 [4,5,6,1,7,2,3]=>[3,2,7,1,6,5,4]=>000000 [4,5,6,1,7,3,2]=>[2,3,7,1,6,5,4]=>000000 [4,5,6,2,1,3,7]=>[7,3,1,2,6,5,4]=>000000 [4,5,6,2,1,7,3]=>[3,7,1,2,6,5,4]=>000000 [4,5,6,2,3,1,7]=>[7,1,3,2,6,5,4]=>000000 [4,5,6,2,3,7,1]=>[1,7,3,2,6,5,4]=>100000 [4,5,6,2,7,1,3]=>[3,1,7,2,6,5,4]=>000000 [4,5,6,2,7,3,1]=>[1,3,7,2,6,5,4]=>100000 [4,5,6,3,1,2,7]=>[7,2,1,3,6,5,4]=>000000 [4,5,6,3,1,7,2]=>[2,7,1,3,6,5,4]=>000000 [4,5,6,3,2,1,7]=>[7,1,2,3,6,5,4]=>000000 [4,5,6,3,2,7,1]=>[1,7,2,3,6,5,4]=>100000 [4,5,6,3,7,1,2]=>[2,1,7,3,6,5,4]=>010000 [4,5,6,3,7,2,1]=>[1,2,7,3,6,5,4]=>110000 [4,5,6,7,1,2,3]=>[3,2,1,7,6,5,4]=>001000 [4,5,6,7,1,3,2]=>[2,3,1,7,6,5,4]=>001000 [4,5,6,7,2,1,3]=>[3,1,2,7,6,5,4]=>001000 [4,5,6,7,2,3,1]=>[1,3,2,7,6,5,4]=>101000 [4,5,6,7,3,1,2]=>[2,1,3,7,6,5,4]=>011000 [4,5,6,7,3,2,1]=>[1,2,3,7,6,5,4]=>111000 [4,5,7,1,2,3,6]=>[6,3,2,1,7,5,4]=>000000 [4,5,7,1,2,6,3]=>[3,6,2,1,7,5,4]=>000000 [4,5,7,1,3,2,6]=>[6,2,3,1,7,5,4]=>000000 [4,5,7,1,3,6,2]=>[2,6,3,1,7,5,4]=>000000 [4,5,7,1,6,2,3]=>[3,2,6,1,7,5,4]=>000000 [4,5,7,1,6,3,2]=>[2,3,6,1,7,5,4]=>000000 [4,5,7,2,1,3,6]=>[6,3,1,2,7,5,4]=>000000 [4,5,7,2,1,6,3]=>[3,6,1,2,7,5,4]=>000000 [4,5,7,2,3,1,6]=>[6,1,3,2,7,5,4]=>000000 [4,5,7,2,3,6,1]=>[1,6,3,2,7,5,4]=>100000 [4,5,7,2,6,1,3]=>[3,1,6,2,7,5,4]=>000000 [4,5,7,2,6,3,1]=>[1,3,6,2,7,5,4]=>100000 [4,5,7,3,1,2,6]=>[6,2,1,3,7,5,4]=>000000 [4,5,7,3,1,6,2]=>[2,6,1,3,7,5,4]=>000000 [4,5,7,3,2,1,6]=>[6,1,2,3,7,5,4]=>000000 [4,5,7,3,2,6,1]=>[1,6,2,3,7,5,4]=>100000 [4,5,7,3,6,1,2]=>[2,1,6,3,7,5,4]=>010000 [4,5,7,3,6,2,1]=>[1,2,6,3,7,5,4]=>110000 [4,5,7,6,1,2,3]=>[3,2,1,6,7,5,4]=>001000 [4,5,7,6,1,3,2]=>[2,3,1,6,7,5,4]=>001000 [4,5,7,6,2,1,3]=>[3,1,2,6,7,5,4]=>001000 [4,5,7,6,2,3,1]=>[1,3,2,6,7,5,4]=>101000 [4,5,7,6,3,1,2]=>[2,1,3,6,7,5,4]=>011000 [4,5,7,6,3,2,1]=>[1,2,3,6,7,5,4]=>111000 [4,6,1,2,3,5,7]=>[7,5,3,2,1,6,4]=>000000 [4,6,1,2,3,7,5]=>[5,7,3,2,1,6,4]=>000000 [4,6,1,2,5,3,7]=>[7,3,5,2,1,6,4]=>000000 [4,6,1,2,5,7,3]=>[3,7,5,2,1,6,4]=>000000 [4,6,1,2,7,3,5]=>[5,3,7,2,1,6,4]=>000000 [4,6,1,2,7,5,3]=>[3,5,7,2,1,6,4]=>000000 [4,6,1,3,2,5,7]=>[7,5,2,3,1,6,4]=>000000 [4,6,1,3,2,7,5]=>[5,7,2,3,1,6,4]=>000000 [4,6,1,3,5,2,7]=>[7,2,5,3,1,6,4]=>000000 [4,6,1,3,5,7,2]=>[2,7,5,3,1,6,4]=>000000 [4,6,1,3,7,2,5]=>[5,2,7,3,1,6,4]=>000000 [4,6,1,3,7,5,2]=>[2,5,7,3,1,6,4]=>000000 [4,6,1,5,2,3,7]=>[7,3,2,5,1,6,4]=>000000 [4,6,1,5,2,7,3]=>[3,7,2,5,1,6,4]=>000000 [4,6,1,5,3,2,7]=>[7,2,3,5,1,6,4]=>000000 [4,6,1,5,3,7,2]=>[2,7,3,5,1,6,4]=>000000 [4,6,1,5,7,2,3]=>[3,2,7,5,1,6,4]=>000000 [4,6,1,5,7,3,2]=>[2,3,7,5,1,6,4]=>000000 [4,6,1,7,2,3,5]=>[5,3,2,7,1,6,4]=>000000 [4,6,1,7,2,5,3]=>[3,5,2,7,1,6,4]=>000000 [4,6,1,7,3,2,5]=>[5,2,3,7,1,6,4]=>000000 [4,6,1,7,3,5,2]=>[2,5,3,7,1,6,4]=>000000 [4,6,1,7,5,2,3]=>[3,2,5,7,1,6,4]=>000000 [4,6,1,7,5,3,2]=>[2,3,5,7,1,6,4]=>000000 [4,6,2,1,3,5,7]=>[7,5,3,1,2,6,4]=>000000 [4,6,2,1,3,7,5]=>[5,7,3,1,2,6,4]=>000000 [4,6,2,1,5,3,7]=>[7,3,5,1,2,6,4]=>000000 [4,6,2,1,5,7,3]=>[3,7,5,1,2,6,4]=>000000 [4,6,2,1,7,3,5]=>[5,3,7,1,2,6,4]=>000000 [4,6,2,1,7,5,3]=>[3,5,7,1,2,6,4]=>000000 [4,6,2,3,1,5,7]=>[7,5,1,3,2,6,4]=>000000 [4,6,2,3,1,7,5]=>[5,7,1,3,2,6,4]=>000000 [4,6,2,3,5,1,7]=>[7,1,5,3,2,6,4]=>000000 [4,6,2,3,5,7,1]=>[1,7,5,3,2,6,4]=>100000 [4,6,2,3,7,1,5]=>[5,1,7,3,2,6,4]=>000000 [4,6,2,3,7,5,1]=>[1,5,7,3,2,6,4]=>100000 [4,6,2,5,1,3,7]=>[7,3,1,5,2,6,4]=>000000 [4,6,2,5,1,7,3]=>[3,7,1,5,2,6,4]=>000000 [4,6,2,5,3,1,7]=>[7,1,3,5,2,6,4]=>000000 [4,6,2,5,3,7,1]=>[1,7,3,5,2,6,4]=>100000 [4,6,2,5,7,1,3]=>[3,1,7,5,2,6,4]=>000000 [4,6,2,5,7,3,1]=>[1,3,7,5,2,6,4]=>100000 [4,6,2,7,1,3,5]=>[5,3,1,7,2,6,4]=>000000 [4,6,2,7,1,5,3]=>[3,5,1,7,2,6,4]=>000000 [4,6,2,7,3,1,5]=>[5,1,3,7,2,6,4]=>000000 [4,6,2,7,3,5,1]=>[1,5,3,7,2,6,4]=>100000 [4,6,2,7,5,1,3]=>[3,1,5,7,2,6,4]=>000000 [4,6,2,7,5,3,1]=>[1,3,5,7,2,6,4]=>100000 [4,6,3,1,2,5,7]=>[7,5,2,1,3,6,4]=>000000 [4,6,3,1,2,7,5]=>[5,7,2,1,3,6,4]=>000000 [4,6,3,1,5,2,7]=>[7,2,5,1,3,6,4]=>000000 [4,6,3,1,5,7,2]=>[2,7,5,1,3,6,4]=>000000 [4,6,3,1,7,2,5]=>[5,2,7,1,3,6,4]=>000000 [4,6,3,1,7,5,2]=>[2,5,7,1,3,6,4]=>000000 [4,6,3,2,1,5,7]=>[7,5,1,2,3,6,4]=>000000 [4,6,3,2,1,7,5]=>[5,7,1,2,3,6,4]=>000000 [4,6,3,2,5,1,7]=>[7,1,5,2,3,6,4]=>000000 [4,6,3,2,5,7,1]=>[1,7,5,2,3,6,4]=>100000 [4,6,3,2,7,1,5]=>[5,1,7,2,3,6,4]=>000000 [4,6,3,2,7,5,1]=>[1,5,7,2,3,6,4]=>100000 [4,6,3,5,1,2,7]=>[7,2,1,5,3,6,4]=>000000 [4,6,3,5,1,7,2]=>[2,7,1,5,3,6,4]=>000000 [4,6,3,5,2,1,7]=>[7,1,2,5,3,6,4]=>000000 [4,6,3,5,2,7,1]=>[1,7,2,5,3,6,4]=>100000 [4,6,3,5,7,1,2]=>[2,1,7,5,3,6,4]=>010000 [4,6,3,5,7,2,1]=>[1,2,7,5,3,6,4]=>110000 [4,6,3,7,1,2,5]=>[5,2,1,7,3,6,4]=>000000 [4,6,3,7,1,5,2]=>[2,5,1,7,3,6,4]=>000000 [4,6,3,7,2,1,5]=>[5,1,2,7,3,6,4]=>000000 [4,6,3,7,2,5,1]=>[1,5,2,7,3,6,4]=>100000 [4,6,3,7,5,1,2]=>[2,1,5,7,3,6,4]=>010000 [4,6,3,7,5,2,1]=>[1,2,5,7,3,6,4]=>110000 [4,6,5,1,2,3,7]=>[7,3,2,1,5,6,4]=>000000 [4,6,5,1,2,7,3]=>[3,7,2,1,5,6,4]=>000000 [4,6,5,1,3,2,7]=>[7,2,3,1,5,6,4]=>000000 [4,6,5,1,3,7,2]=>[2,7,3,1,5,6,4]=>000000 [4,6,5,1,7,2,3]=>[3,2,7,1,5,6,4]=>000000 [4,6,5,1,7,3,2]=>[2,3,7,1,5,6,4]=>000000 [4,6,5,2,1,3,7]=>[7,3,1,2,5,6,4]=>000000 [4,6,5,2,1,7,3]=>[3,7,1,2,5,6,4]=>000000 [4,6,5,2,3,1,7]=>[7,1,3,2,5,6,4]=>000000 [4,6,5,2,3,7,1]=>[1,7,3,2,5,6,4]=>100000 [4,6,5,2,7,1,3]=>[3,1,7,2,5,6,4]=>000000 [4,6,5,2,7,3,1]=>[1,3,7,2,5,6,4]=>100000 [4,6,5,3,1,2,7]=>[7,2,1,3,5,6,4]=>000000 [4,6,5,3,1,7,2]=>[2,7,1,3,5,6,4]=>000000 [4,6,5,3,2,1,7]=>[7,1,2,3,5,6,4]=>000000 [4,6,5,3,2,7,1]=>[1,7,2,3,5,6,4]=>100000 [4,6,5,3,7,1,2]=>[2,1,7,3,5,6,4]=>010000 [4,6,5,3,7,2,1]=>[1,2,7,3,5,6,4]=>110000 [4,6,5,7,1,2,3]=>[3,2,1,7,5,6,4]=>001000 [4,6,5,7,1,3,2]=>[2,3,1,7,5,6,4]=>001000 [4,6,5,7,2,1,3]=>[3,1,2,7,5,6,4]=>001000 [4,6,5,7,2,3,1]=>[1,3,2,7,5,6,4]=>101000 [4,6,5,7,3,1,2]=>[2,1,3,7,5,6,4]=>011000 [4,6,5,7,3,2,1]=>[1,2,3,7,5,6,4]=>111000 [4,6,7,1,2,3,5]=>[5,3,2,1,7,6,4]=>000000 [4,6,7,1,2,5,3]=>[3,5,2,1,7,6,4]=>000000 [4,6,7,1,3,2,5]=>[5,2,3,1,7,6,4]=>000000 [4,6,7,1,3,5,2]=>[2,5,3,1,7,6,4]=>000000 [4,6,7,1,5,2,3]=>[3,2,5,1,7,6,4]=>000000 [4,6,7,1,5,3,2]=>[2,3,5,1,7,6,4]=>000000 [4,6,7,2,1,3,5]=>[5,3,1,2,7,6,4]=>000000 [4,6,7,2,1,5,3]=>[3,5,1,2,7,6,4]=>000000 [4,6,7,2,3,1,5]=>[5,1,3,2,7,6,4]=>000000 [4,6,7,2,3,5,1]=>[1,5,3,2,7,6,4]=>100000 [4,6,7,2,5,1,3]=>[3,1,5,2,7,6,4]=>000000 [4,6,7,2,5,3,1]=>[1,3,5,2,7,6,4]=>100000 [4,6,7,3,1,2,5]=>[5,2,1,3,7,6,4]=>000000 [4,6,7,3,1,5,2]=>[2,5,1,3,7,6,4]=>000000 [4,6,7,3,2,1,5]=>[5,1,2,3,7,6,4]=>000000 [4,6,7,3,2,5,1]=>[1,5,2,3,7,6,4]=>100000 [4,6,7,3,5,1,2]=>[2,1,5,3,7,6,4]=>010000 [4,6,7,3,5,2,1]=>[1,2,5,3,7,6,4]=>110000 [4,6,7,5,1,2,3]=>[3,2,1,5,7,6,4]=>001000 [4,6,7,5,1,3,2]=>[2,3,1,5,7,6,4]=>001000 [4,6,7,5,2,1,3]=>[3,1,2,5,7,6,4]=>001000 [4,6,7,5,2,3,1]=>[1,3,2,5,7,6,4]=>101000 [4,6,7,5,3,1,2]=>[2,1,3,5,7,6,4]=>011000 [4,6,7,5,3,2,1]=>[1,2,3,5,7,6,4]=>111000 [4,7,1,2,3,5,6]=>[6,5,3,2,1,7,4]=>000000 [4,7,1,2,3,6,5]=>[5,6,3,2,1,7,4]=>000000 [4,7,1,2,5,3,6]=>[6,3,5,2,1,7,4]=>000000 [4,7,1,2,5,6,3]=>[3,6,5,2,1,7,4]=>000000 [4,7,1,2,6,3,5]=>[5,3,6,2,1,7,4]=>000000 [4,7,1,2,6,5,3]=>[3,5,6,2,1,7,4]=>000000 [4,7,1,3,2,5,6]=>[6,5,2,3,1,7,4]=>000000 [4,7,1,3,2,6,5]=>[5,6,2,3,1,7,4]=>000000 [4,7,1,3,5,2,6]=>[6,2,5,3,1,7,4]=>000000 [4,7,1,3,5,6,2]=>[2,6,5,3,1,7,4]=>000000 [4,7,1,3,6,2,5]=>[5,2,6,3,1,7,4]=>000000 [4,7,1,3,6,5,2]=>[2,5,6,3,1,7,4]=>000000 [4,7,1,5,2,3,6]=>[6,3,2,5,1,7,4]=>000000 [4,7,1,5,2,6,3]=>[3,6,2,5,1,7,4]=>000000 [4,7,1,5,3,2,6]=>[6,2,3,5,1,7,4]=>000000 [4,7,1,5,3,6,2]=>[2,6,3,5,1,7,4]=>000000 [4,7,1,5,6,2,3]=>[3,2,6,5,1,7,4]=>000000 [4,7,1,5,6,3,2]=>[2,3,6,5,1,7,4]=>000000 [4,7,1,6,2,3,5]=>[5,3,2,6,1,7,4]=>000000 [4,7,1,6,2,5,3]=>[3,5,2,6,1,7,4]=>000000 [4,7,1,6,3,2,5]=>[5,2,3,6,1,7,4]=>000000 [4,7,1,6,3,5,2]=>[2,5,3,6,1,7,4]=>000000 [4,7,1,6,5,2,3]=>[3,2,5,6,1,7,4]=>000000 [4,7,1,6,5,3,2]=>[2,3,5,6,1,7,4]=>000000 [4,7,2,1,3,5,6]=>[6,5,3,1,2,7,4]=>000000 [4,7,2,1,3,6,5]=>[5,6,3,1,2,7,4]=>000000 [4,7,2,1,5,3,6]=>[6,3,5,1,2,7,4]=>000000 [4,7,2,1,5,6,3]=>[3,6,5,1,2,7,4]=>000000 [4,7,2,1,6,3,5]=>[5,3,6,1,2,7,4]=>000000 [4,7,2,1,6,5,3]=>[3,5,6,1,2,7,4]=>000000 [4,7,2,3,1,5,6]=>[6,5,1,3,2,7,4]=>000000 [4,7,2,3,1,6,5]=>[5,6,1,3,2,7,4]=>000000 [4,7,2,3,5,1,6]=>[6,1,5,3,2,7,4]=>000000 [4,7,2,3,5,6,1]=>[1,6,5,3,2,7,4]=>100000 [4,7,2,3,6,1,5]=>[5,1,6,3,2,7,4]=>000000 [4,7,2,3,6,5,1]=>[1,5,6,3,2,7,4]=>100000 [4,7,2,5,1,3,6]=>[6,3,1,5,2,7,4]=>000000 [4,7,2,5,1,6,3]=>[3,6,1,5,2,7,4]=>000000 [4,7,2,5,3,1,6]=>[6,1,3,5,2,7,4]=>000000 [4,7,2,5,3,6,1]=>[1,6,3,5,2,7,4]=>100000 [4,7,2,5,6,1,3]=>[3,1,6,5,2,7,4]=>000000 [4,7,2,5,6,3,1]=>[1,3,6,5,2,7,4]=>100000 [4,7,2,6,1,3,5]=>[5,3,1,6,2,7,4]=>000000 [4,7,2,6,1,5,3]=>[3,5,1,6,2,7,4]=>000000 [4,7,2,6,3,1,5]=>[5,1,3,6,2,7,4]=>000000 [4,7,2,6,3,5,1]=>[1,5,3,6,2,7,4]=>100000 [4,7,2,6,5,1,3]=>[3,1,5,6,2,7,4]=>000000 [4,7,2,6,5,3,1]=>[1,3,5,6,2,7,4]=>100000 [4,7,3,1,2,5,6]=>[6,5,2,1,3,7,4]=>000000 [4,7,3,1,2,6,5]=>[5,6,2,1,3,7,4]=>000000 [4,7,3,1,5,2,6]=>[6,2,5,1,3,7,4]=>000000 [4,7,3,1,5,6,2]=>[2,6,5,1,3,7,4]=>000000 [4,7,3,1,6,2,5]=>[5,2,6,1,3,7,4]=>000000 [4,7,3,1,6,5,2]=>[2,5,6,1,3,7,4]=>000000 [4,7,3,2,1,5,6]=>[6,5,1,2,3,7,4]=>000000 [4,7,3,2,1,6,5]=>[5,6,1,2,3,7,4]=>000000 [4,7,3,2,5,1,6]=>[6,1,5,2,3,7,4]=>000000 [4,7,3,2,5,6,1]=>[1,6,5,2,3,7,4]=>100000 [4,7,3,2,6,1,5]=>[5,1,6,2,3,7,4]=>000000 [4,7,3,2,6,5,1]=>[1,5,6,2,3,7,4]=>100000 [4,7,3,5,1,2,6]=>[6,2,1,5,3,7,4]=>000000 [4,7,3,5,1,6,2]=>[2,6,1,5,3,7,4]=>000000 [4,7,3,5,2,1,6]=>[6,1,2,5,3,7,4]=>000000 [4,7,3,5,2,6,1]=>[1,6,2,5,3,7,4]=>100000 [4,7,3,5,6,1,2]=>[2,1,6,5,3,7,4]=>010000 [4,7,3,5,6,2,1]=>[1,2,6,5,3,7,4]=>110000 [4,7,3,6,1,2,5]=>[5,2,1,6,3,7,4]=>000000 [4,7,3,6,1,5,2]=>[2,5,1,6,3,7,4]=>000000 [4,7,3,6,2,1,5]=>[5,1,2,6,3,7,4]=>000000 [4,7,3,6,2,5,1]=>[1,5,2,6,3,7,4]=>100000 [4,7,3,6,5,1,2]=>[2,1,5,6,3,7,4]=>010000 [4,7,3,6,5,2,1]=>[1,2,5,6,3,7,4]=>110000 [4,7,5,1,2,3,6]=>[6,3,2,1,5,7,4]=>000000 [4,7,5,1,2,6,3]=>[3,6,2,1,5,7,4]=>000000 [4,7,5,1,3,2,6]=>[6,2,3,1,5,7,4]=>000000 [4,7,5,1,3,6,2]=>[2,6,3,1,5,7,4]=>000000 [4,7,5,1,6,2,3]=>[3,2,6,1,5,7,4]=>000000 [4,7,5,1,6,3,2]=>[2,3,6,1,5,7,4]=>000000 [4,7,5,2,1,3,6]=>[6,3,1,2,5,7,4]=>000000 [4,7,5,2,1,6,3]=>[3,6,1,2,5,7,4]=>000000 [4,7,5,2,3,1,6]=>[6,1,3,2,5,7,4]=>000000 [4,7,5,2,3,6,1]=>[1,6,3,2,5,7,4]=>100000 [4,7,5,2,6,1,3]=>[3,1,6,2,5,7,4]=>000000 [4,7,5,2,6,3,1]=>[1,3,6,2,5,7,4]=>100000 [4,7,5,3,1,2,6]=>[6,2,1,3,5,7,4]=>000000 [4,7,5,3,1,6,2]=>[2,6,1,3,5,7,4]=>000000 [4,7,5,3,2,1,6]=>[6,1,2,3,5,7,4]=>000000 [4,7,5,3,2,6,1]=>[1,6,2,3,5,7,4]=>100000 [4,7,5,3,6,1,2]=>[2,1,6,3,5,7,4]=>010000 [4,7,5,3,6,2,1]=>[1,2,6,3,5,7,4]=>110000 [4,7,5,6,1,2,3]=>[3,2,1,6,5,7,4]=>001000 [4,7,5,6,1,3,2]=>[2,3,1,6,5,7,4]=>001000 [4,7,5,6,2,1,3]=>[3,1,2,6,5,7,4]=>001000 [4,7,5,6,2,3,1]=>[1,3,2,6,5,7,4]=>101000 [4,7,5,6,3,1,2]=>[2,1,3,6,5,7,4]=>011000 [4,7,5,6,3,2,1]=>[1,2,3,6,5,7,4]=>111000 [4,7,6,1,2,3,5]=>[5,3,2,1,6,7,4]=>000000 [4,7,6,1,2,5,3]=>[3,5,2,1,6,7,4]=>000000 [4,7,6,1,3,2,5]=>[5,2,3,1,6,7,4]=>000000 [4,7,6,1,3,5,2]=>[2,5,3,1,6,7,4]=>000000 [4,7,6,1,5,2,3]=>[3,2,5,1,6,7,4]=>000000 [4,7,6,1,5,3,2]=>[2,3,5,1,6,7,4]=>000000 [4,7,6,2,1,3,5]=>[5,3,1,2,6,7,4]=>000000 [4,7,6,2,1,5,3]=>[3,5,1,2,6,7,4]=>000000 [4,7,6,2,3,1,5]=>[5,1,3,2,6,7,4]=>000000 [4,7,6,2,3,5,1]=>[1,5,3,2,6,7,4]=>100000 [4,7,6,2,5,1,3]=>[3,1,5,2,6,7,4]=>000000 [4,7,6,2,5,3,1]=>[1,3,5,2,6,7,4]=>100000 [4,7,6,3,1,2,5]=>[5,2,1,3,6,7,4]=>000000 [4,7,6,3,1,5,2]=>[2,5,1,3,6,7,4]=>000000 [4,7,6,3,2,1,5]=>[5,1,2,3,6,7,4]=>000000 [4,7,6,3,2,5,1]=>[1,5,2,3,6,7,4]=>100000 [4,7,6,3,5,1,2]=>[2,1,5,3,6,7,4]=>010000 [4,7,6,3,5,2,1]=>[1,2,5,3,6,7,4]=>110000 [4,7,6,5,1,2,3]=>[3,2,1,5,6,7,4]=>001000 [4,7,6,5,1,3,2]=>[2,3,1,5,6,7,4]=>001000 [4,7,6,5,2,1,3]=>[3,1,2,5,6,7,4]=>001000 [4,7,6,5,2,3,1]=>[1,3,2,5,6,7,4]=>101000 [4,7,6,5,3,1,2]=>[2,1,3,5,6,7,4]=>011000 [4,7,6,5,3,2,1]=>[1,2,3,5,6,7,4]=>111000 [5,1,2,3,4,6,7]=>[7,6,4,3,2,1,5]=>000000 [5,1,2,3,4,7,6]=>[6,7,4,3,2,1,5]=>000000 [5,1,2,3,6,4,7]=>[7,4,6,3,2,1,5]=>000000 [5,1,2,3,6,7,4]=>[4,7,6,3,2,1,5]=>000000 [5,1,2,3,7,4,6]=>[6,4,7,3,2,1,5]=>000000 [5,1,2,3,7,6,4]=>[4,6,7,3,2,1,5]=>000000 [5,1,2,4,3,6,7]=>[7,6,3,4,2,1,5]=>000000 [5,1,2,4,3,7,6]=>[6,7,3,4,2,1,5]=>000000 [5,1,2,4,6,3,7]=>[7,3,6,4,2,1,5]=>000000 [5,1,2,4,6,7,3]=>[3,7,6,4,2,1,5]=>000000 [5,1,2,4,7,3,6]=>[6,3,7,4,2,1,5]=>000000 [5,1,2,4,7,6,3]=>[3,6,7,4,2,1,5]=>000000 [5,1,2,6,3,4,7]=>[7,4,3,6,2,1,5]=>000000 [5,1,2,6,3,7,4]=>[4,7,3,6,2,1,5]=>000000 [5,1,2,6,4,3,7]=>[7,3,4,6,2,1,5]=>000000 [5,1,2,6,4,7,3]=>[3,7,4,6,2,1,5]=>000000 [5,1,2,6,7,3,4]=>[4,3,7,6,2,1,5]=>000000 [5,1,2,6,7,4,3]=>[3,4,7,6,2,1,5]=>000000 [5,1,2,7,3,4,6]=>[6,4,3,7,2,1,5]=>000000 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[5,1,3,7,2,6,4]=>[4,6,2,7,3,1,5]=>000000 [5,1,3,7,4,2,6]=>[6,2,4,7,3,1,5]=>000000 [5,1,3,7,4,6,2]=>[2,6,4,7,3,1,5]=>000000 [5,1,3,7,6,2,4]=>[4,2,6,7,3,1,5]=>000000 [5,1,3,7,6,4,2]=>[2,4,6,7,3,1,5]=>000000 [5,1,4,2,3,6,7]=>[7,6,3,2,4,1,5]=>000000 [5,1,4,2,3,7,6]=>[6,7,3,2,4,1,5]=>000000 [5,1,4,2,6,3,7]=>[7,3,6,2,4,1,5]=>000000 [5,1,4,2,6,7,3]=>[3,7,6,2,4,1,5]=>000000 [5,1,4,2,7,3,6]=>[6,3,7,2,4,1,5]=>000000 [5,1,4,2,7,6,3]=>[3,6,7,2,4,1,5]=>000000 [5,1,4,3,2,6,7]=>[7,6,2,3,4,1,5]=>000000 [5,1,4,3,2,7,6]=>[6,7,2,3,4,1,5]=>000000 [5,1,4,3,6,2,7]=>[7,2,6,3,4,1,5]=>000000 [5,1,4,3,6,7,2]=>[2,7,6,3,4,1,5]=>000000 [5,1,4,3,7,2,6]=>[6,2,7,3,4,1,5]=>000000 [5,1,4,3,7,6,2]=>[2,6,7,3,4,1,5]=>000000 [5,1,4,6,2,3,7]=>[7,3,2,6,4,1,5]=>000000 [5,1,4,6,2,7,3]=>[3,7,2,6,4,1,5]=>000000 [5,1,4,6,3,2,7]=>[7,2,3,6,4,1,5]=>000000 [5,1,4,6,3,7,2]=>[2,7,3,6,4,1,5]=>000000 [5,1,4,6,7,2,3]=>[3,2,7,6,4,1,5]=>000000 [5,1,4,6,7,3,2]=>[2,3,7,6,4,1,5]=>000000 [5,1,4,7,2,3,6]=>[6,3,2,7,4,1,5]=>000000 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[5,2,6,7,1,4,3]=>[3,4,1,7,6,2,5]=>000000 [5,2,6,7,3,1,4]=>[4,1,3,7,6,2,5]=>000000 [5,2,6,7,3,4,1]=>[1,4,3,7,6,2,5]=>100000 [5,2,6,7,4,1,3]=>[3,1,4,7,6,2,5]=>000000 [5,2,6,7,4,3,1]=>[1,3,4,7,6,2,5]=>100000 [5,2,7,1,3,4,6]=>[6,4,3,1,7,2,5]=>000000 [5,2,7,1,3,6,4]=>[4,6,3,1,7,2,5]=>000000 [5,2,7,1,4,3,6]=>[6,3,4,1,7,2,5]=>000000 [5,2,7,1,4,6,3]=>[3,6,4,1,7,2,5]=>000000 [5,2,7,1,6,3,4]=>[4,3,6,1,7,2,5]=>000000 [5,2,7,1,6,4,3]=>[3,4,6,1,7,2,5]=>000000 [5,2,7,3,1,4,6]=>[6,4,1,3,7,2,5]=>000000 [5,2,7,3,1,6,4]=>[4,6,1,3,7,2,5]=>000000 [5,2,7,3,4,1,6]=>[6,1,4,3,7,2,5]=>000000 [5,2,7,3,4,6,1]=>[1,6,4,3,7,2,5]=>100000 [5,2,7,3,6,1,4]=>[4,1,6,3,7,2,5]=>000000 [5,2,7,3,6,4,1]=>[1,4,6,3,7,2,5]=>100000 [5,2,7,4,1,3,6]=>[6,3,1,4,7,2,5]=>000000 [5,2,7,4,1,6,3]=>[3,6,1,4,7,2,5]=>000000 [5,2,7,4,3,1,6]=>[6,1,3,4,7,2,5]=>000000 [5,2,7,4,3,6,1]=>[1,6,3,4,7,2,5]=>100000 [5,2,7,4,6,1,3]=>[3,1,6,4,7,2,5]=>000000 [5,2,7,4,6,3,1]=>[1,3,6,4,7,2,5]=>100000 [5,2,7,6,1,3,4]=>[4,3,1,6,7,2,5]=>000000 [5,2,7,6,1,4,3]=>[3,4,1,6,7,2,5]=>000000 [5,2,7,6,3,1,4]=>[4,1,3,6,7,2,5]=>000000 [5,2,7,6,3,4,1]=>[1,4,3,6,7,2,5]=>100000 [5,2,7,6,4,1,3]=>[3,1,4,6,7,2,5]=>000000 [5,2,7,6,4,3,1]=>[1,3,4,6,7,2,5]=>100000 [5,3,1,2,4,6,7]=>[7,6,4,2,1,3,5]=>000000 [5,3,1,2,4,7,6]=>[6,7,4,2,1,3,5]=>000000 [5,3,1,2,6,4,7]=>[7,4,6,2,1,3,5]=>000000 [5,3,1,2,6,7,4]=>[4,7,6,2,1,3,5]=>000000 [5,3,1,2,7,4,6]=>[6,4,7,2,1,3,5]=>000000 [5,3,1,2,7,6,4]=>[4,6,7,2,1,3,5]=>000000 [5,3,1,4,2,6,7]=>[7,6,2,4,1,3,5]=>000000 [5,3,1,4,2,7,6]=>[6,7,2,4,1,3,5]=>000000 [5,3,1,4,6,2,7]=>[7,2,6,4,1,3,5]=>000000 [5,3,1,4,6,7,2]=>[2,7,6,4,1,3,5]=>000000 [5,3,1,4,7,2,6]=>[6,2,7,4,1,3,5]=>000000 [5,3,1,4,7,6,2]=>[2,6,7,4,1,3,5]=>000000 [5,3,1,6,2,4,7]=>[7,4,2,6,1,3,5]=>000000 [5,3,1,6,2,7,4]=>[4,7,2,6,1,3,5]=>000000 [5,3,1,6,4,2,7]=>[7,2,4,6,1,3,5]=>000000 [5,3,1,6,4,7,2]=>[2,7,4,6,1,3,5]=>000000 [5,3,1,6,7,2,4]=>[4,2,7,6,1,3,5]=>000000 [5,3,1,6,7,4,2]=>[2,4,7,6,1,3,5]=>000000 [5,3,1,7,2,4,6]=>[6,4,2,7,1,3,5]=>000000 [5,3,1,7,2,6,4]=>[4,6,2,7,1,3,5]=>000000 [5,3,1,7,4,2,6]=>[6,2,4,7,1,3,5]=>000000 [5,3,1,7,4,6,2]=>[2,6,4,7,1,3,5]=>000000 [5,3,1,7,6,2,4]=>[4,2,6,7,1,3,5]=>000000 [5,3,1,7,6,4,2]=>[2,4,6,7,1,3,5]=>000000 [5,3,2,1,4,6,7]=>[7,6,4,1,2,3,5]=>000000 [5,3,2,1,4,7,6]=>[6,7,4,1,2,3,5]=>000000 [5,3,2,1,6,4,7]=>[7,4,6,1,2,3,5]=>000000 [5,3,2,1,6,7,4]=>[4,7,6,1,2,3,5]=>000000 [5,3,2,1,7,4,6]=>[6,4,7,1,2,3,5]=>000000 [5,3,2,1,7,6,4]=>[4,6,7,1,2,3,5]=>000000 [5,3,2,4,1,6,7]=>[7,6,1,4,2,3,5]=>000000 [5,3,2,4,1,7,6]=>[6,7,1,4,2,3,5]=>000000 [5,3,2,4,6,1,7]=>[7,1,6,4,2,3,5]=>000000 [5,3,2,4,6,7,1]=>[1,7,6,4,2,3,5]=>100000 [5,3,2,4,7,1,6]=>[6,1,7,4,2,3,5]=>000000 [5,3,2,4,7,6,1]=>[1,6,7,4,2,3,5]=>100000 [5,3,2,6,1,4,7]=>[7,4,1,6,2,3,5]=>000000 [5,3,2,6,1,7,4]=>[4,7,1,6,2,3,5]=>000000 [5,3,2,6,4,1,7]=>[7,1,4,6,2,3,5]=>000000 [5,3,2,6,4,7,1]=>[1,7,4,6,2,3,5]=>100000 [5,3,2,6,7,1,4]=>[4,1,7,6,2,3,5]=>000000 [5,3,2,6,7,4,1]=>[1,4,7,6,2,3,5]=>100000 [5,3,2,7,1,4,6]=>[6,4,1,7,2,3,5]=>000000 [5,3,2,7,1,6,4]=>[4,6,1,7,2,3,5]=>000000 [5,3,2,7,4,1,6]=>[6,1,4,7,2,3,5]=>000000 [5,3,2,7,4,6,1]=>[1,6,4,7,2,3,5]=>100000 [5,3,2,7,6,1,4]=>[4,1,6,7,2,3,5]=>000000 [5,3,2,7,6,4,1]=>[1,4,6,7,2,3,5]=>100000 [5,3,4,1,2,6,7]=>[7,6,2,1,4,3,5]=>000000 [5,3,4,1,2,7,6]=>[6,7,2,1,4,3,5]=>000000 [5,3,4,1,6,2,7]=>[7,2,6,1,4,3,5]=>000000 [5,3,4,1,6,7,2]=>[2,7,6,1,4,3,5]=>000000 [5,3,4,1,7,2,6]=>[6,2,7,1,4,3,5]=>000000 [5,3,4,1,7,6,2]=>[2,6,7,1,4,3,5]=>000000 [5,3,4,2,1,6,7]=>[7,6,1,2,4,3,5]=>000000 [5,3,4,2,1,7,6]=>[6,7,1,2,4,3,5]=>000000 [5,3,4,2,6,1,7]=>[7,1,6,2,4,3,5]=>000000 [5,3,4,2,6,7,1]=>[1,7,6,2,4,3,5]=>100000 [5,3,4,2,7,1,6]=>[6,1,7,2,4,3,5]=>000000 [5,3,4,2,7,6,1]=>[1,6,7,2,4,3,5]=>100000 [5,3,4,6,1,2,7]=>[7,2,1,6,4,3,5]=>000000 [5,3,4,6,1,7,2]=>[2,7,1,6,4,3,5]=>000000 [5,3,4,6,2,1,7]=>[7,1,2,6,4,3,5]=>000000 [5,3,4,6,2,7,1]=>[1,7,2,6,4,3,5]=>100000 [5,3,4,6,7,1,2]=>[2,1,7,6,4,3,5]=>010000 [5,3,4,6,7,2,1]=>[1,2,7,6,4,3,5]=>110000 [5,3,4,7,1,2,6]=>[6,2,1,7,4,3,5]=>000000 [5,3,4,7,1,6,2]=>[2,6,1,7,4,3,5]=>000000 [5,3,4,7,2,1,6]=>[6,1,2,7,4,3,5]=>000000 [5,3,4,7,2,6,1]=>[1,6,2,7,4,3,5]=>100000 [5,3,4,7,6,1,2]=>[2,1,6,7,4,3,5]=>010000 [5,3,4,7,6,2,1]=>[1,2,6,7,4,3,5]=>110000 [5,3,6,1,2,4,7]=>[7,4,2,1,6,3,5]=>000000 [5,3,6,1,2,7,4]=>[4,7,2,1,6,3,5]=>000000 [5,3,6,1,4,2,7]=>[7,2,4,1,6,3,5]=>000000 [5,3,6,1,4,7,2]=>[2,7,4,1,6,3,5]=>000000 [5,3,6,1,7,2,4]=>[4,2,7,1,6,3,5]=>000000 [5,3,6,1,7,4,2]=>[2,4,7,1,6,3,5]=>000000 [5,3,6,2,1,4,7]=>[7,4,1,2,6,3,5]=>000000 [5,3,6,2,1,7,4]=>[4,7,1,2,6,3,5]=>000000 [5,3,6,2,4,1,7]=>[7,1,4,2,6,3,5]=>000000 [5,3,6,2,4,7,1]=>[1,7,4,2,6,3,5]=>100000 [5,3,6,2,7,1,4]=>[4,1,7,2,6,3,5]=>000000 [5,3,6,2,7,4,1]=>[1,4,7,2,6,3,5]=>100000 [5,3,6,4,1,2,7]=>[7,2,1,4,6,3,5]=>000000 [5,3,6,4,1,7,2]=>[2,7,1,4,6,3,5]=>000000 [5,3,6,4,2,1,7]=>[7,1,2,4,6,3,5]=>000000 [5,3,6,4,2,7,1]=>[1,7,2,4,6,3,5]=>100000 [5,3,6,4,7,1,2]=>[2,1,7,4,6,3,5]=>010000 [5,3,6,4,7,2,1]=>[1,2,7,4,6,3,5]=>110000 [5,3,6,7,1,2,4]=>[4,2,1,7,6,3,5]=>000000 [5,3,6,7,1,4,2]=>[2,4,1,7,6,3,5]=>000000 [5,3,6,7,2,1,4]=>[4,1,2,7,6,3,5]=>000000 [5,3,6,7,2,4,1]=>[1,4,2,7,6,3,5]=>100000 [5,3,6,7,4,1,2]=>[2,1,4,7,6,3,5]=>010000 [5,3,6,7,4,2,1]=>[1,2,4,7,6,3,5]=>110000 [5,3,7,1,2,4,6]=>[6,4,2,1,7,3,5]=>000000 [5,3,7,1,2,6,4]=>[4,6,2,1,7,3,5]=>000000 [5,3,7,1,4,2,6]=>[6,2,4,1,7,3,5]=>000000 [5,3,7,1,4,6,2]=>[2,6,4,1,7,3,5]=>000000 [5,3,7,1,6,2,4]=>[4,2,6,1,7,3,5]=>000000 [5,3,7,1,6,4,2]=>[2,4,6,1,7,3,5]=>000000 [5,3,7,2,1,4,6]=>[6,4,1,2,7,3,5]=>000000 [5,3,7,2,1,6,4]=>[4,6,1,2,7,3,5]=>000000 [5,3,7,2,4,1,6]=>[6,1,4,2,7,3,5]=>000000 [5,3,7,2,4,6,1]=>[1,6,4,2,7,3,5]=>100000 [5,3,7,2,6,1,4]=>[4,1,6,2,7,3,5]=>000000 [5,3,7,2,6,4,1]=>[1,4,6,2,7,3,5]=>100000 [5,3,7,4,1,2,6]=>[6,2,1,4,7,3,5]=>000000 [5,3,7,4,1,6,2]=>[2,6,1,4,7,3,5]=>000000 [5,3,7,4,2,1,6]=>[6,1,2,4,7,3,5]=>000000 [5,3,7,4,2,6,1]=>[1,6,2,4,7,3,5]=>100000 [5,3,7,4,6,1,2]=>[2,1,6,4,7,3,5]=>010000 [5,3,7,4,6,2,1]=>[1,2,6,4,7,3,5]=>110000 [5,3,7,6,1,2,4]=>[4,2,1,6,7,3,5]=>000000 [5,3,7,6,1,4,2]=>[2,4,1,6,7,3,5]=>000000 [5,3,7,6,2,1,4]=>[4,1,2,6,7,3,5]=>000000 [5,3,7,6,2,4,1]=>[1,4,2,6,7,3,5]=>100000 [5,3,7,6,4,1,2]=>[2,1,4,6,7,3,5]=>010000 [5,3,7,6,4,2,1]=>[1,2,4,6,7,3,5]=>110000 [5,4,1,2,3,6,7]=>[7,6,3,2,1,4,5]=>000000 [5,4,1,2,3,7,6]=>[6,7,3,2,1,4,5]=>000000 [5,4,1,2,6,3,7]=>[7,3,6,2,1,4,5]=>000000 [5,4,1,2,6,7,3]=>[3,7,6,2,1,4,5]=>000000 [5,4,1,2,7,3,6]=>[6,3,7,2,1,4,5]=>000000 [5,4,1,2,7,6,3]=>[3,6,7,2,1,4,5]=>000000 [5,4,1,3,2,6,7]=>[7,6,2,3,1,4,5]=>000000 [5,4,1,3,2,7,6]=>[6,7,2,3,1,4,5]=>000000 [5,4,1,3,6,2,7]=>[7,2,6,3,1,4,5]=>000000 [5,4,1,3,6,7,2]=>[2,7,6,3,1,4,5]=>000000 [5,4,1,3,7,2,6]=>[6,2,7,3,1,4,5]=>000000 [5,4,1,3,7,6,2]=>[2,6,7,3,1,4,5]=>000000 [5,4,1,6,2,3,7]=>[7,3,2,6,1,4,5]=>000000 [5,4,1,6,2,7,3]=>[3,7,2,6,1,4,5]=>000000 [5,4,1,6,3,2,7]=>[7,2,3,6,1,4,5]=>000000 [5,4,1,6,3,7,2]=>[2,7,3,6,1,4,5]=>000000 [5,4,1,6,7,2,3]=>[3,2,7,6,1,4,5]=>000000 [5,4,1,6,7,3,2]=>[2,3,7,6,1,4,5]=>000000 [5,4,1,7,2,3,6]=>[6,3,2,7,1,4,5]=>000000 [5,4,1,7,2,6,3]=>[3,6,2,7,1,4,5]=>000000 [5,4,1,7,3,2,6]=>[6,2,3,7,1,4,5]=>000000 [5,4,1,7,3,6,2]=>[2,6,3,7,1,4,5]=>000000 [5,4,1,7,6,2,3]=>[3,2,6,7,1,4,5]=>000000 [5,4,1,7,6,3,2]=>[2,3,6,7,1,4,5]=>000000 [5,4,2,1,3,6,7]=>[7,6,3,1,2,4,5]=>000000 [5,4,2,1,3,7,6]=>[6,7,3,1,2,4,5]=>000000 [5,4,2,1,6,3,7]=>[7,3,6,1,2,4,5]=>000000 [5,4,2,1,6,7,3]=>[3,7,6,1,2,4,5]=>000000 [5,4,2,1,7,3,6]=>[6,3,7,1,2,4,5]=>000000 [5,4,2,1,7,6,3]=>[3,6,7,1,2,4,5]=>000000 [5,4,2,3,1,6,7]=>[7,6,1,3,2,4,5]=>000000 [5,4,2,3,1,7,6]=>[6,7,1,3,2,4,5]=>000000 [5,4,2,3,6,1,7]=>[7,1,6,3,2,4,5]=>000000 [5,4,2,3,6,7,1]=>[1,7,6,3,2,4,5]=>100000 [5,4,2,3,7,1,6]=>[6,1,7,3,2,4,5]=>000000 [5,4,2,3,7,6,1]=>[1,6,7,3,2,4,5]=>100000 [5,4,2,6,1,3,7]=>[7,3,1,6,2,4,5]=>000000 [5,4,2,6,1,7,3]=>[3,7,1,6,2,4,5]=>000000 [5,4,2,6,3,1,7]=>[7,1,3,6,2,4,5]=>000000 [5,4,2,6,3,7,1]=>[1,7,3,6,2,4,5]=>100000 [5,4,2,6,7,1,3]=>[3,1,7,6,2,4,5]=>000000 [5,4,2,6,7,3,1]=>[1,3,7,6,2,4,5]=>100000 [5,4,2,7,1,3,6]=>[6,3,1,7,2,4,5]=>000000 [5,4,2,7,1,6,3]=>[3,6,1,7,2,4,5]=>000000 [5,4,2,7,3,1,6]=>[6,1,3,7,2,4,5]=>000000 [5,4,2,7,3,6,1]=>[1,6,3,7,2,4,5]=>100000 [5,4,2,7,6,1,3]=>[3,1,6,7,2,4,5]=>000000 [5,4,2,7,6,3,1]=>[1,3,6,7,2,4,5]=>100000 [5,4,3,1,2,6,7]=>[7,6,2,1,3,4,5]=>000000 [5,4,3,1,2,7,6]=>[6,7,2,1,3,4,5]=>000000 [5,4,3,1,6,2,7]=>[7,2,6,1,3,4,5]=>000000 [5,4,3,1,6,7,2]=>[2,7,6,1,3,4,5]=>000000 [5,4,3,1,7,2,6]=>[6,2,7,1,3,4,5]=>000000 [5,4,3,1,7,6,2]=>[2,6,7,1,3,4,5]=>000000 [5,4,3,2,1,6,7]=>[7,6,1,2,3,4,5]=>000000 [5,4,3,2,1,7,6]=>[6,7,1,2,3,4,5]=>000000 [5,4,3,2,6,1,7]=>[7,1,6,2,3,4,5]=>000000 [5,4,3,2,6,7,1]=>[1,7,6,2,3,4,5]=>100000 [5,4,3,2,7,1,6]=>[6,1,7,2,3,4,5]=>000000 [5,4,3,2,7,6,1]=>[1,6,7,2,3,4,5]=>100000 [5,4,3,6,1,2,7]=>[7,2,1,6,3,4,5]=>000000 [5,4,3,6,1,7,2]=>[2,7,1,6,3,4,5]=>000000 [5,4,3,6,2,1,7]=>[7,1,2,6,3,4,5]=>000000 [5,4,3,6,2,7,1]=>[1,7,2,6,3,4,5]=>100000 [5,4,3,6,7,1,2]=>[2,1,7,6,3,4,5]=>010000 [5,4,3,6,7,2,1]=>[1,2,7,6,3,4,5]=>110000 [5,4,3,7,1,2,6]=>[6,2,1,7,3,4,5]=>000000 [5,4,3,7,1,6,2]=>[2,6,1,7,3,4,5]=>000000 [5,4,3,7,2,1,6]=>[6,1,2,7,3,4,5]=>000000 [5,4,3,7,2,6,1]=>[1,6,2,7,3,4,5]=>100000 [5,4,3,7,6,1,2]=>[2,1,6,7,3,4,5]=>010000 [5,4,3,7,6,2,1]=>[1,2,6,7,3,4,5]=>110000 [5,4,6,1,2,3,7]=>[7,3,2,1,6,4,5]=>000000 [5,4,6,1,2,7,3]=>[3,7,2,1,6,4,5]=>000000 [5,4,6,1,3,2,7]=>[7,2,3,1,6,4,5]=>000000 [5,4,6,1,3,7,2]=>[2,7,3,1,6,4,5]=>000000 [5,4,6,1,7,2,3]=>[3,2,7,1,6,4,5]=>000000 [5,4,6,1,7,3,2]=>[2,3,7,1,6,4,5]=>000000 [5,4,6,2,1,3,7]=>[7,3,1,2,6,4,5]=>000000 [5,4,6,2,1,7,3]=>[3,7,1,2,6,4,5]=>000000 [5,4,6,2,3,1,7]=>[7,1,3,2,6,4,5]=>000000 [5,4,6,2,3,7,1]=>[1,7,3,2,6,4,5]=>100000 [5,4,6,2,7,1,3]=>[3,1,7,2,6,4,5]=>000000 [5,4,6,2,7,3,1]=>[1,3,7,2,6,4,5]=>100000 [5,4,6,3,1,2,7]=>[7,2,1,3,6,4,5]=>000000 [5,4,6,3,1,7,2]=>[2,7,1,3,6,4,5]=>000000 [5,4,6,3,2,1,7]=>[7,1,2,3,6,4,5]=>000000 [5,4,6,3,2,7,1]=>[1,7,2,3,6,4,5]=>100000 [5,4,6,3,7,1,2]=>[2,1,7,3,6,4,5]=>010000 [5,4,6,3,7,2,1]=>[1,2,7,3,6,4,5]=>110000 [5,4,6,7,1,2,3]=>[3,2,1,7,6,4,5]=>001000 [5,4,6,7,1,3,2]=>[2,3,1,7,6,4,5]=>001000 [5,4,6,7,2,1,3]=>[3,1,2,7,6,4,5]=>001000 [5,4,6,7,2,3,1]=>[1,3,2,7,6,4,5]=>101000 [5,4,6,7,3,1,2]=>[2,1,3,7,6,4,5]=>011000 [5,4,6,7,3,2,1]=>[1,2,3,7,6,4,5]=>111000 [5,4,7,1,2,3,6]=>[6,3,2,1,7,4,5]=>000000 [5,4,7,1,2,6,3]=>[3,6,2,1,7,4,5]=>000000 [5,4,7,1,3,2,6]=>[6,2,3,1,7,4,5]=>000000 [5,4,7,1,3,6,2]=>[2,6,3,1,7,4,5]=>000000 [5,4,7,1,6,2,3]=>[3,2,6,1,7,4,5]=>000000 [5,4,7,1,6,3,2]=>[2,3,6,1,7,4,5]=>000000 [5,4,7,2,1,3,6]=>[6,3,1,2,7,4,5]=>000000 [5,4,7,2,1,6,3]=>[3,6,1,2,7,4,5]=>000000 [5,4,7,2,3,1,6]=>[6,1,3,2,7,4,5]=>000000 [5,4,7,2,3,6,1]=>[1,6,3,2,7,4,5]=>100000 [5,4,7,2,6,1,3]=>[3,1,6,2,7,4,5]=>000000 [5,4,7,2,6,3,1]=>[1,3,6,2,7,4,5]=>100000 [5,4,7,3,1,2,6]=>[6,2,1,3,7,4,5]=>000000 [5,4,7,3,1,6,2]=>[2,6,1,3,7,4,5]=>000000 [5,4,7,3,2,1,6]=>[6,1,2,3,7,4,5]=>000000 [5,4,7,3,2,6,1]=>[1,6,2,3,7,4,5]=>100000 [5,4,7,3,6,1,2]=>[2,1,6,3,7,4,5]=>010000 [5,4,7,3,6,2,1]=>[1,2,6,3,7,4,5]=>110000 [5,4,7,6,1,2,3]=>[3,2,1,6,7,4,5]=>001000 [5,4,7,6,1,3,2]=>[2,3,1,6,7,4,5]=>001000 [5,4,7,6,2,1,3]=>[3,1,2,6,7,4,5]=>001000 [5,4,7,6,2,3,1]=>[1,3,2,6,7,4,5]=>101000 [5,4,7,6,3,1,2]=>[2,1,3,6,7,4,5]=>011000 [5,4,7,6,3,2,1]=>[1,2,3,6,7,4,5]=>111000 [5,6,1,2,3,4,7]=>[7,4,3,2,1,6,5]=>000000 [5,6,1,2,3,7,4]=>[4,7,3,2,1,6,5]=>000000 [5,6,1,2,4,3,7]=>[7,3,4,2,1,6,5]=>000000 [5,6,1,2,4,7,3]=>[3,7,4,2,1,6,5]=>000000 [5,6,1,2,7,3,4]=>[4,3,7,2,1,6,5]=>000000 [5,6,1,2,7,4,3]=>[3,4,7,2,1,6,5]=>000000 [5,6,1,3,2,4,7]=>[7,4,2,3,1,6,5]=>000000 [5,6,1,3,2,7,4]=>[4,7,2,3,1,6,5]=>000000 [5,6,1,3,4,2,7]=>[7,2,4,3,1,6,5]=>000000 [5,6,1,3,4,7,2]=>[2,7,4,3,1,6,5]=>000000 [5,6,1,3,7,2,4]=>[4,2,7,3,1,6,5]=>000000 [5,6,1,3,7,4,2]=>[2,4,7,3,1,6,5]=>000000 [5,6,1,4,2,3,7]=>[7,3,2,4,1,6,5]=>000000 [5,6,1,4,2,7,3]=>[3,7,2,4,1,6,5]=>000000 [5,6,1,4,3,2,7]=>[7,2,3,4,1,6,5]=>000000 [5,6,1,4,3,7,2]=>[2,7,3,4,1,6,5]=>000000 [5,6,1,4,7,2,3]=>[3,2,7,4,1,6,5]=>000000 [5,6,1,4,7,3,2]=>[2,3,7,4,1,6,5]=>000000 [5,6,1,7,2,3,4]=>[4,3,2,7,1,6,5]=>000000 [5,6,1,7,2,4,3]=>[3,4,2,7,1,6,5]=>000000 [5,6,1,7,3,2,4]=>[4,2,3,7,1,6,5]=>000000 [5,6,1,7,3,4,2]=>[2,4,3,7,1,6,5]=>000000 [5,6,1,7,4,2,3]=>[3,2,4,7,1,6,5]=>000000 [5,6,1,7,4,3,2]=>[2,3,4,7,1,6,5]=>000000 [5,6,2,1,3,4,7]=>[7,4,3,1,2,6,5]=>000000 [5,6,2,1,3,7,4]=>[4,7,3,1,2,6,5]=>000000 [5,6,2,1,4,3,7]=>[7,3,4,1,2,6,5]=>000000 [5,6,2,1,4,7,3]=>[3,7,4,1,2,6,5]=>000000 [5,6,2,1,7,3,4]=>[4,3,7,1,2,6,5]=>000000 [5,6,2,1,7,4,3]=>[3,4,7,1,2,6,5]=>000000 [5,6,2,3,1,4,7]=>[7,4,1,3,2,6,5]=>000000 [5,6,2,3,1,7,4]=>[4,7,1,3,2,6,5]=>000000 [5,6,2,3,4,1,7]=>[7,1,4,3,2,6,5]=>000000 [5,6,2,3,4,7,1]=>[1,7,4,3,2,6,5]=>100000 [5,6,2,3,7,1,4]=>[4,1,7,3,2,6,5]=>000000 [5,6,2,3,7,4,1]=>[1,4,7,3,2,6,5]=>100000 [5,6,2,4,1,3,7]=>[7,3,1,4,2,6,5]=>000000 [5,6,2,4,1,7,3]=>[3,7,1,4,2,6,5]=>000000 [5,6,2,4,3,1,7]=>[7,1,3,4,2,6,5]=>000000 [5,6,2,4,3,7,1]=>[1,7,3,4,2,6,5]=>100000 [5,6,2,4,7,1,3]=>[3,1,7,4,2,6,5]=>000000 [5,6,2,4,7,3,1]=>[1,3,7,4,2,6,5]=>100000 [5,6,2,7,1,3,4]=>[4,3,1,7,2,6,5]=>000000 [5,6,2,7,1,4,3]=>[3,4,1,7,2,6,5]=>000000 [5,6,2,7,3,1,4]=>[4,1,3,7,2,6,5]=>000000 [5,6,2,7,3,4,1]=>[1,4,3,7,2,6,5]=>100000 [5,6,2,7,4,1,3]=>[3,1,4,7,2,6,5]=>000000 [5,6,2,7,4,3,1]=>[1,3,4,7,2,6,5]=>100000 [5,6,3,1,2,4,7]=>[7,4,2,1,3,6,5]=>000000 [5,6,3,1,2,7,4]=>[4,7,2,1,3,6,5]=>000000 [5,6,3,1,4,2,7]=>[7,2,4,1,3,6,5]=>000000 [5,6,3,1,4,7,2]=>[2,7,4,1,3,6,5]=>000000 [5,6,3,1,7,2,4]=>[4,2,7,1,3,6,5]=>000000 [5,6,3,1,7,4,2]=>[2,4,7,1,3,6,5]=>000000 [5,6,3,2,1,4,7]=>[7,4,1,2,3,6,5]=>000000 [5,6,3,2,1,7,4]=>[4,7,1,2,3,6,5]=>000000 [5,6,3,2,4,1,7]=>[7,1,4,2,3,6,5]=>000000 [5,6,3,2,4,7,1]=>[1,7,4,2,3,6,5]=>100000 [5,6,3,2,7,1,4]=>[4,1,7,2,3,6,5]=>000000 [5,6,3,2,7,4,1]=>[1,4,7,2,3,6,5]=>100000 [5,6,3,4,1,2,7]=>[7,2,1,4,3,6,5]=>000000 [5,6,3,4,1,7,2]=>[2,7,1,4,3,6,5]=>000000 [5,6,3,4,2,1,7]=>[7,1,2,4,3,6,5]=>000000 [5,6,3,4,2,7,1]=>[1,7,2,4,3,6,5]=>100000 [5,6,3,4,7,1,2]=>[2,1,7,4,3,6,5]=>010000 [5,6,3,4,7,2,1]=>[1,2,7,4,3,6,5]=>110000 [5,6,3,7,1,2,4]=>[4,2,1,7,3,6,5]=>000000 [5,6,3,7,1,4,2]=>[2,4,1,7,3,6,5]=>000000 [5,6,3,7,2,1,4]=>[4,1,2,7,3,6,5]=>000000 [5,6,3,7,2,4,1]=>[1,4,2,7,3,6,5]=>100000 [5,6,3,7,4,1,2]=>[2,1,4,7,3,6,5]=>010000 [5,6,3,7,4,2,1]=>[1,2,4,7,3,6,5]=>110000 [5,6,4,1,2,3,7]=>[7,3,2,1,4,6,5]=>000000 [5,6,4,1,2,7,3]=>[3,7,2,1,4,6,5]=>000000 [5,6,4,1,3,2,7]=>[7,2,3,1,4,6,5]=>000000 [5,6,4,1,3,7,2]=>[2,7,3,1,4,6,5]=>000000 [5,6,4,1,7,2,3]=>[3,2,7,1,4,6,5]=>000000 [5,6,4,1,7,3,2]=>[2,3,7,1,4,6,5]=>000000 [5,6,4,2,1,3,7]=>[7,3,1,2,4,6,5]=>000000 [5,6,4,2,1,7,3]=>[3,7,1,2,4,6,5]=>000000 [5,6,4,2,3,1,7]=>[7,1,3,2,4,6,5]=>000000 [5,6,4,2,3,7,1]=>[1,7,3,2,4,6,5]=>100000 [5,6,4,2,7,1,3]=>[3,1,7,2,4,6,5]=>000000 [5,6,4,2,7,3,1]=>[1,3,7,2,4,6,5]=>100000 [5,6,4,3,1,2,7]=>[7,2,1,3,4,6,5]=>000000 [5,6,4,3,1,7,2]=>[2,7,1,3,4,6,5]=>000000 [5,6,4,3,2,1,7]=>[7,1,2,3,4,6,5]=>000000 [5,6,4,3,2,7,1]=>[1,7,2,3,4,6,5]=>100000 [5,6,4,3,7,1,2]=>[2,1,7,3,4,6,5]=>010000 [5,6,4,3,7,2,1]=>[1,2,7,3,4,6,5]=>110000 [5,6,4,7,1,2,3]=>[3,2,1,7,4,6,5]=>001000 [5,6,4,7,1,3,2]=>[2,3,1,7,4,6,5]=>001000 [5,6,4,7,2,1,3]=>[3,1,2,7,4,6,5]=>001000 [5,6,4,7,2,3,1]=>[1,3,2,7,4,6,5]=>101000 [5,6,4,7,3,1,2]=>[2,1,3,7,4,6,5]=>011000 [5,6,4,7,3,2,1]=>[1,2,3,7,4,6,5]=>111000 [5,6,7,1,2,3,4]=>[4,3,2,1,7,6,5]=>000100 [5,6,7,1,2,4,3]=>[3,4,2,1,7,6,5]=>000100 [5,6,7,1,3,2,4]=>[4,2,3,1,7,6,5]=>000100 [5,6,7,1,3,4,2]=>[2,4,3,1,7,6,5]=>000100 [5,6,7,1,4,2,3]=>[3,2,4,1,7,6,5]=>000100 [5,6,7,1,4,3,2]=>[2,3,4,1,7,6,5]=>000100 [5,6,7,2,1,3,4]=>[4,3,1,2,7,6,5]=>000100 [5,6,7,2,1,4,3]=>[3,4,1,2,7,6,5]=>000100 [5,6,7,2,3,1,4]=>[4,1,3,2,7,6,5]=>000100 [5,6,7,2,3,4,1]=>[1,4,3,2,7,6,5]=>100100 [5,6,7,2,4,1,3]=>[3,1,4,2,7,6,5]=>000100 [5,6,7,2,4,3,1]=>[1,3,4,2,7,6,5]=>100100 [5,6,7,3,1,2,4]=>[4,2,1,3,7,6,5]=>000100 [5,6,7,3,1,4,2]=>[2,4,1,3,7,6,5]=>000100 [5,6,7,3,2,1,4]=>[4,1,2,3,7,6,5]=>000100 [5,6,7,3,2,4,1]=>[1,4,2,3,7,6,5]=>100100 [5,6,7,3,4,1,2]=>[2,1,4,3,7,6,5]=>010100 [5,6,7,3,4,2,1]=>[1,2,4,3,7,6,5]=>110100 [5,6,7,4,1,2,3]=>[3,2,1,4,7,6,5]=>001100 [5,6,7,4,1,3,2]=>[2,3,1,4,7,6,5]=>001100 [5,6,7,4,2,1,3]=>[3,1,2,4,7,6,5]=>001100 [5,6,7,4,2,3,1]=>[1,3,2,4,7,6,5]=>101100 [5,6,7,4,3,1,2]=>[2,1,3,4,7,6,5]=>011100 [5,6,7,4,3,2,1]=>[1,2,3,4,7,6,5]=>111100 [5,7,1,2,3,4,6]=>[6,4,3,2,1,7,5]=>000000 [5,7,1,2,3,6,4]=>[4,6,3,2,1,7,5]=>000000 [5,7,1,2,4,3,6]=>[6,3,4,2,1,7,5]=>000000 [5,7,1,2,4,6,3]=>[3,6,4,2,1,7,5]=>000000 [5,7,1,2,6,3,4]=>[4,3,6,2,1,7,5]=>000000 [5,7,1,2,6,4,3]=>[3,4,6,2,1,7,5]=>000000 [5,7,1,3,2,4,6]=>[6,4,2,3,1,7,5]=>000000 [5,7,1,3,2,6,4]=>[4,6,2,3,1,7,5]=>000000 [5,7,1,3,4,2,6]=>[6,2,4,3,1,7,5]=>000000 [5,7,1,3,4,6,2]=>[2,6,4,3,1,7,5]=>000000 [5,7,1,3,6,2,4]=>[4,2,6,3,1,7,5]=>000000 [5,7,1,3,6,4,2]=>[2,4,6,3,1,7,5]=>000000 [5,7,1,4,2,3,6]=>[6,3,2,4,1,7,5]=>000000 [5,7,1,4,2,6,3]=>[3,6,2,4,1,7,5]=>000000 [5,7,1,4,3,2,6]=>[6,2,3,4,1,7,5]=>000000 [5,7,1,4,3,6,2]=>[2,6,3,4,1,7,5]=>000000 [5,7,1,4,6,2,3]=>[3,2,6,4,1,7,5]=>000000 [5,7,1,4,6,3,2]=>[2,3,6,4,1,7,5]=>000000 [5,7,1,6,2,3,4]=>[4,3,2,6,1,7,5]=>000000 [5,7,1,6,2,4,3]=>[3,4,2,6,1,7,5]=>000000 [5,7,1,6,3,2,4]=>[4,2,3,6,1,7,5]=>000000 [5,7,1,6,3,4,2]=>[2,4,3,6,1,7,5]=>000000 [5,7,1,6,4,2,3]=>[3,2,4,6,1,7,5]=>000000 [5,7,1,6,4,3,2]=>[2,3,4,6,1,7,5]=>000000 [5,7,2,1,3,4,6]=>[6,4,3,1,2,7,5]=>000000 [5,7,2,1,3,6,4]=>[4,6,3,1,2,7,5]=>000000 [5,7,2,1,4,3,6]=>[6,3,4,1,2,7,5]=>000000 [5,7,2,1,4,6,3]=>[3,6,4,1,2,7,5]=>000000 [5,7,2,1,6,3,4]=>[4,3,6,1,2,7,5]=>000000 [5,7,2,1,6,4,3]=>[3,4,6,1,2,7,5]=>000000 [5,7,2,3,1,4,6]=>[6,4,1,3,2,7,5]=>000000 [5,7,2,3,1,6,4]=>[4,6,1,3,2,7,5]=>000000 [5,7,2,3,4,1,6]=>[6,1,4,3,2,7,5]=>000000 [5,7,2,3,4,6,1]=>[1,6,4,3,2,7,5]=>100000 [5,7,2,3,6,1,4]=>[4,1,6,3,2,7,5]=>000000 [5,7,2,3,6,4,1]=>[1,4,6,3,2,7,5]=>100000 [5,7,2,4,1,3,6]=>[6,3,1,4,2,7,5]=>000000 [5,7,2,4,1,6,3]=>[3,6,1,4,2,7,5]=>000000 [5,7,2,4,3,1,6]=>[6,1,3,4,2,7,5]=>000000 [5,7,2,4,3,6,1]=>[1,6,3,4,2,7,5]=>100000 [5,7,2,4,6,1,3]=>[3,1,6,4,2,7,5]=>000000 [5,7,2,4,6,3,1]=>[1,3,6,4,2,7,5]=>100000 [5,7,2,6,1,3,4]=>[4,3,1,6,2,7,5]=>000000 [5,7,2,6,1,4,3]=>[3,4,1,6,2,7,5]=>000000 [5,7,2,6,3,1,4]=>[4,1,3,6,2,7,5]=>000000 [5,7,2,6,3,4,1]=>[1,4,3,6,2,7,5]=>100000 [5,7,2,6,4,1,3]=>[3,1,4,6,2,7,5]=>000000 [5,7,2,6,4,3,1]=>[1,3,4,6,2,7,5]=>100000 [5,7,3,1,2,4,6]=>[6,4,2,1,3,7,5]=>000000 [5,7,3,1,2,6,4]=>[4,6,2,1,3,7,5]=>000000 [5,7,3,1,4,2,6]=>[6,2,4,1,3,7,5]=>000000 [5,7,3,1,4,6,2]=>[2,6,4,1,3,7,5]=>000000 [5,7,3,1,6,2,4]=>[4,2,6,1,3,7,5]=>000000 [5,7,3,1,6,4,2]=>[2,4,6,1,3,7,5]=>000000 [5,7,3,2,1,4,6]=>[6,4,1,2,3,7,5]=>000000 [5,7,3,2,1,6,4]=>[4,6,1,2,3,7,5]=>000000 [5,7,3,2,4,1,6]=>[6,1,4,2,3,7,5]=>000000 [5,7,3,2,4,6,1]=>[1,6,4,2,3,7,5]=>100000 [5,7,3,2,6,1,4]=>[4,1,6,2,3,7,5]=>000000 [5,7,3,2,6,4,1]=>[1,4,6,2,3,7,5]=>100000 [5,7,3,4,1,2,6]=>[6,2,1,4,3,7,5]=>000000 [5,7,3,4,1,6,2]=>[2,6,1,4,3,7,5]=>000000 [5,7,3,4,2,1,6]=>[6,1,2,4,3,7,5]=>000000 [5,7,3,4,2,6,1]=>[1,6,2,4,3,7,5]=>100000 [5,7,3,4,6,1,2]=>[2,1,6,4,3,7,5]=>010000 [5,7,3,4,6,2,1]=>[1,2,6,4,3,7,5]=>110000 [5,7,3,6,1,2,4]=>[4,2,1,6,3,7,5]=>000000 [5,7,3,6,1,4,2]=>[2,4,1,6,3,7,5]=>000000 [5,7,3,6,2,1,4]=>[4,1,2,6,3,7,5]=>000000 [5,7,3,6,2,4,1]=>[1,4,2,6,3,7,5]=>100000 [5,7,3,6,4,1,2]=>[2,1,4,6,3,7,5]=>010000 [5,7,3,6,4,2,1]=>[1,2,4,6,3,7,5]=>110000 [5,7,4,1,2,3,6]=>[6,3,2,1,4,7,5]=>000000 [5,7,4,1,2,6,3]=>[3,6,2,1,4,7,5]=>000000 [5,7,4,1,3,2,6]=>[6,2,3,1,4,7,5]=>000000 [5,7,4,1,3,6,2]=>[2,6,3,1,4,7,5]=>000000 [5,7,4,1,6,2,3]=>[3,2,6,1,4,7,5]=>000000 [5,7,4,1,6,3,2]=>[2,3,6,1,4,7,5]=>000000 [5,7,4,2,1,3,6]=>[6,3,1,2,4,7,5]=>000000 [5,7,4,2,1,6,3]=>[3,6,1,2,4,7,5]=>000000 [5,7,4,2,3,1,6]=>[6,1,3,2,4,7,5]=>000000 [5,7,4,2,3,6,1]=>[1,6,3,2,4,7,5]=>100000 [5,7,4,2,6,1,3]=>[3,1,6,2,4,7,5]=>000000 [5,7,4,2,6,3,1]=>[1,3,6,2,4,7,5]=>100000 [5,7,4,3,1,2,6]=>[6,2,1,3,4,7,5]=>000000 [5,7,4,3,1,6,2]=>[2,6,1,3,4,7,5]=>000000 [5,7,4,3,2,1,6]=>[6,1,2,3,4,7,5]=>000000 [5,7,4,3,2,6,1]=>[1,6,2,3,4,7,5]=>100000 [5,7,4,3,6,1,2]=>[2,1,6,3,4,7,5]=>010000 [5,7,4,3,6,2,1]=>[1,2,6,3,4,7,5]=>110000 [5,7,4,6,1,2,3]=>[3,2,1,6,4,7,5]=>001000 [5,7,4,6,1,3,2]=>[2,3,1,6,4,7,5]=>001000 [5,7,4,6,2,1,3]=>[3,1,2,6,4,7,5]=>001000 [5,7,4,6,2,3,1]=>[1,3,2,6,4,7,5]=>101000 [5,7,4,6,3,1,2]=>[2,1,3,6,4,7,5]=>011000 [5,7,4,6,3,2,1]=>[1,2,3,6,4,7,5]=>111000 [5,7,6,1,2,3,4]=>[4,3,2,1,6,7,5]=>000100 [5,7,6,1,2,4,3]=>[3,4,2,1,6,7,5]=>000100 [5,7,6,1,3,2,4]=>[4,2,3,1,6,7,5]=>000100 [5,7,6,1,3,4,2]=>[2,4,3,1,6,7,5]=>000100 [5,7,6,1,4,2,3]=>[3,2,4,1,6,7,5]=>000100 [5,7,6,1,4,3,2]=>[2,3,4,1,6,7,5]=>000100 [5,7,6,2,1,3,4]=>[4,3,1,2,6,7,5]=>000100 [5,7,6,2,1,4,3]=>[3,4,1,2,6,7,5]=>000100 [5,7,6,2,3,1,4]=>[4,1,3,2,6,7,5]=>000100 [5,7,6,2,3,4,1]=>[1,4,3,2,6,7,5]=>100100 [5,7,6,2,4,1,3]=>[3,1,4,2,6,7,5]=>000100 [5,7,6,2,4,3,1]=>[1,3,4,2,6,7,5]=>100100 [5,7,6,3,1,2,4]=>[4,2,1,3,6,7,5]=>000100 [5,7,6,3,1,4,2]=>[2,4,1,3,6,7,5]=>000100 [5,7,6,3,2,1,4]=>[4,1,2,3,6,7,5]=>000100 [5,7,6,3,2,4,1]=>[1,4,2,3,6,7,5]=>100100 [5,7,6,3,4,1,2]=>[2,1,4,3,6,7,5]=>010100 [5,7,6,3,4,2,1]=>[1,2,4,3,6,7,5]=>110100 [5,7,6,4,1,2,3]=>[3,2,1,4,6,7,5]=>001100 [5,7,6,4,1,3,2]=>[2,3,1,4,6,7,5]=>001100 [5,7,6,4,2,1,3]=>[3,1,2,4,6,7,5]=>001100 [5,7,6,4,2,3,1]=>[1,3,2,4,6,7,5]=>101100 [5,7,6,4,3,1,2]=>[2,1,3,4,6,7,5]=>011100 [5,7,6,4,3,2,1]=>[1,2,3,4,6,7,5]=>111100 [6,1,2,3,4,5,7]=>[7,5,4,3,2,1,6]=>000000 [6,1,2,3,4,7,5]=>[5,7,4,3,2,1,6]=>000000 [6,1,2,3,5,4,7]=>[7,4,5,3,2,1,6]=>000000 [6,1,2,3,5,7,4]=>[4,7,5,3,2,1,6]=>000000 [6,1,2,3,7,4,5]=>[5,4,7,3,2,1,6]=>000000 [6,1,2,3,7,5,4]=>[4,5,7,3,2,1,6]=>000000 [6,1,2,4,3,5,7]=>[7,5,3,4,2,1,6]=>000000 [6,1,2,4,3,7,5]=>[5,7,3,4,2,1,6]=>000000 [6,1,2,4,5,3,7]=>[7,3,5,4,2,1,6]=>000000 [6,1,2,4,5,7,3]=>[3,7,5,4,2,1,6]=>000000 [6,1,2,4,7,3,5]=>[5,3,7,4,2,1,6]=>000000 [6,1,2,4,7,5,3]=>[3,5,7,4,2,1,6]=>000000 [6,1,2,5,3,4,7]=>[7,4,3,5,2,1,6]=>000000 [6,1,2,5,3,7,4]=>[4,7,3,5,2,1,6]=>000000 [6,1,2,5,4,3,7]=>[7,3,4,5,2,1,6]=>000000 [6,1,2,5,4,7,3]=>[3,7,4,5,2,1,6]=>000000 [6,1,2,5,7,3,4]=>[4,3,7,5,2,1,6]=>000000 [6,1,2,5,7,4,3]=>[3,4,7,5,2,1,6]=>000000 [6,1,2,7,3,4,5]=>[5,4,3,7,2,1,6]=>000000 [6,1,2,7,3,5,4]=>[4,5,3,7,2,1,6]=>000000 [6,1,2,7,4,3,5]=>[5,3,4,7,2,1,6]=>000000 [6,1,2,7,4,5,3]=>[3,5,4,7,2,1,6]=>000000 [6,1,2,7,5,3,4]=>[4,3,5,7,2,1,6]=>000000 [6,1,2,7,5,4,3]=>[3,4,5,7,2,1,6]=>000000 [6,1,3,2,4,5,7]=>[7,5,4,2,3,1,6]=>000000 [6,1,3,2,4,7,5]=>[5,7,4,2,3,1,6]=>000000 [6,1,3,2,5,4,7]=>[7,4,5,2,3,1,6]=>000000 [6,1,3,2,5,7,4]=>[4,7,5,2,3,1,6]=>000000 [6,1,3,2,7,4,5]=>[5,4,7,2,3,1,6]=>000000 [6,1,3,2,7,5,4]=>[4,5,7,2,3,1,6]=>000000 [6,1,3,4,2,5,7]=>[7,5,2,4,3,1,6]=>000000 [6,1,3,4,2,7,5]=>[5,7,2,4,3,1,6]=>000000 [6,1,3,4,5,2,7]=>[7,2,5,4,3,1,6]=>000000 [6,1,3,4,5,7,2]=>[2,7,5,4,3,1,6]=>000000 [6,1,3,4,7,2,5]=>[5,2,7,4,3,1,6]=>000000 [6,1,3,4,7,5,2]=>[2,5,7,4,3,1,6]=>000000 [6,1,3,5,2,4,7]=>[7,4,2,5,3,1,6]=>000000 [6,1,3,5,2,7,4]=>[4,7,2,5,3,1,6]=>000000 [6,1,3,5,4,2,7]=>[7,2,4,5,3,1,6]=>000000 [6,1,3,5,4,7,2]=>[2,7,4,5,3,1,6]=>000000 [6,1,3,5,7,2,4]=>[4,2,7,5,3,1,6]=>000000 [6,1,3,5,7,4,2]=>[2,4,7,5,3,1,6]=>000000 [6,1,3,7,2,4,5]=>[5,4,2,7,3,1,6]=>000000 [6,1,3,7,2,5,4]=>[4,5,2,7,3,1,6]=>000000 [6,1,3,7,4,2,5]=>[5,2,4,7,3,1,6]=>000000 [6,1,3,7,4,5,2]=>[2,5,4,7,3,1,6]=>000000 [6,1,3,7,5,2,4]=>[4,2,5,7,3,1,6]=>000000 [6,1,3,7,5,4,2]=>[2,4,5,7,3,1,6]=>000000 [6,1,4,2,3,5,7]=>[7,5,3,2,4,1,6]=>000000 [6,1,4,2,3,7,5]=>[5,7,3,2,4,1,6]=>000000 [6,1,4,2,5,3,7]=>[7,3,5,2,4,1,6]=>000000 [6,1,4,2,5,7,3]=>[3,7,5,2,4,1,6]=>000000 [6,1,4,2,7,3,5]=>[5,3,7,2,4,1,6]=>000000 [6,1,4,2,7,5,3]=>[3,5,7,2,4,1,6]=>000000 [6,1,4,3,2,5,7]=>[7,5,2,3,4,1,6]=>000000 [6,1,4,3,2,7,5]=>[5,7,2,3,4,1,6]=>000000 [6,1,4,3,5,2,7]=>[7,2,5,3,4,1,6]=>000000 [6,1,4,3,5,7,2]=>[2,7,5,3,4,1,6]=>000000 [6,1,4,3,7,2,5]=>[5,2,7,3,4,1,6]=>000000 [6,1,4,3,7,5,2]=>[2,5,7,3,4,1,6]=>000000 [6,1,4,5,2,3,7]=>[7,3,2,5,4,1,6]=>000000 [6,1,4,5,2,7,3]=>[3,7,2,5,4,1,6]=>000000 [6,1,4,5,3,2,7]=>[7,2,3,5,4,1,6]=>000000 [6,1,4,5,3,7,2]=>[2,7,3,5,4,1,6]=>000000 [6,1,4,5,7,2,3]=>[3,2,7,5,4,1,6]=>000000 [6,1,4,5,7,3,2]=>[2,3,7,5,4,1,6]=>000000 [6,1,4,7,2,3,5]=>[5,3,2,7,4,1,6]=>000000 [6,1,4,7,2,5,3]=>[3,5,2,7,4,1,6]=>000000 [6,1,4,7,3,2,5]=>[5,2,3,7,4,1,6]=>000000 [6,1,4,7,3,5,2]=>[2,5,3,7,4,1,6]=>000000 [6,1,4,7,5,2,3]=>[3,2,5,7,4,1,6]=>000000 [6,1,4,7,5,3,2]=>[2,3,5,7,4,1,6]=>000000 [6,1,5,2,3,4,7]=>[7,4,3,2,5,1,6]=>000000 [6,1,5,2,3,7,4]=>[4,7,3,2,5,1,6]=>000000 [6,1,5,2,4,3,7]=>[7,3,4,2,5,1,6]=>000000 [6,1,5,2,4,7,3]=>[3,7,4,2,5,1,6]=>000000 [6,1,5,2,7,3,4]=>[4,3,7,2,5,1,6]=>000000 [6,1,5,2,7,4,3]=>[3,4,7,2,5,1,6]=>000000 [6,1,5,3,2,4,7]=>[7,4,2,3,5,1,6]=>000000 [6,1,5,3,2,7,4]=>[4,7,2,3,5,1,6]=>000000 [6,1,5,3,4,2,7]=>[7,2,4,3,5,1,6]=>000000 [6,1,5,3,4,7,2]=>[2,7,4,3,5,1,6]=>000000 [6,1,5,3,7,2,4]=>[4,2,7,3,5,1,6]=>000000 [6,1,5,3,7,4,2]=>[2,4,7,3,5,1,6]=>000000 [6,1,5,4,2,3,7]=>[7,3,2,4,5,1,6]=>000000 [6,1,5,4,2,7,3]=>[3,7,2,4,5,1,6]=>000000 [6,1,5,4,3,2,7]=>[7,2,3,4,5,1,6]=>000000 [6,1,5,4,3,7,2]=>[2,7,3,4,5,1,6]=>000000 [6,1,5,4,7,2,3]=>[3,2,7,4,5,1,6]=>000000 [6,1,5,4,7,3,2]=>[2,3,7,4,5,1,6]=>000000 [6,1,5,7,2,3,4]=>[4,3,2,7,5,1,6]=>000000 [6,1,5,7,2,4,3]=>[3,4,2,7,5,1,6]=>000000 [6,1,5,7,3,2,4]=>[4,2,3,7,5,1,6]=>000000 [6,1,5,7,3,4,2]=>[2,4,3,7,5,1,6]=>000000 [6,1,5,7,4,2,3]=>[3,2,4,7,5,1,6]=>000000 [6,1,5,7,4,3,2]=>[2,3,4,7,5,1,6]=>000000 [6,1,7,2,3,4,5]=>[5,4,3,2,7,1,6]=>000000 [6,1,7,2,3,5,4]=>[4,5,3,2,7,1,6]=>000000 [6,1,7,2,4,3,5]=>[5,3,4,2,7,1,6]=>000000 [6,1,7,2,4,5,3]=>[3,5,4,2,7,1,6]=>000000 [6,1,7,2,5,3,4]=>[4,3,5,2,7,1,6]=>000000 [6,1,7,2,5,4,3]=>[3,4,5,2,7,1,6]=>000000 [6,1,7,3,2,4,5]=>[5,4,2,3,7,1,6]=>000000 [6,1,7,3,2,5,4]=>[4,5,2,3,7,1,6]=>000000 [6,1,7,3,4,2,5]=>[5,2,4,3,7,1,6]=>000000 [6,1,7,3,4,5,2]=>[2,5,4,3,7,1,6]=>000000 [6,1,7,3,5,2,4]=>[4,2,5,3,7,1,6]=>000000 [6,1,7,3,5,4,2]=>[2,4,5,3,7,1,6]=>000000 [6,1,7,4,2,3,5]=>[5,3,2,4,7,1,6]=>000000 [6,1,7,4,2,5,3]=>[3,5,2,4,7,1,6]=>000000 [6,1,7,4,3,2,5]=>[5,2,3,4,7,1,6]=>000000 [6,1,7,4,3,5,2]=>[2,5,3,4,7,1,6]=>000000 [6,1,7,4,5,2,3]=>[3,2,5,4,7,1,6]=>000000 [6,1,7,4,5,3,2]=>[2,3,5,4,7,1,6]=>000000 [6,1,7,5,2,3,4]=>[4,3,2,5,7,1,6]=>000000 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[6,3,2,7,1,5,4]=>[4,5,1,7,2,3,6]=>000000 [6,3,2,7,4,1,5]=>[5,1,4,7,2,3,6]=>000000 [6,3,2,7,4,5,1]=>[1,5,4,7,2,3,6]=>100000 [6,3,2,7,5,1,4]=>[4,1,5,7,2,3,6]=>000000 [6,3,2,7,5,4,1]=>[1,4,5,7,2,3,6]=>100000 [6,3,4,1,2,5,7]=>[7,5,2,1,4,3,6]=>000000 [6,3,4,1,2,7,5]=>[5,7,2,1,4,3,6]=>000000 [6,3,4,1,5,2,7]=>[7,2,5,1,4,3,6]=>000000 [6,3,4,1,5,7,2]=>[2,7,5,1,4,3,6]=>000000 [6,3,4,1,7,2,5]=>[5,2,7,1,4,3,6]=>000000 [6,3,4,1,7,5,2]=>[2,5,7,1,4,3,6]=>000000 [6,3,4,2,1,5,7]=>[7,5,1,2,4,3,6]=>000000 [6,3,4,2,1,7,5]=>[5,7,1,2,4,3,6]=>000000 [6,3,4,2,5,1,7]=>[7,1,5,2,4,3,6]=>000000 [6,3,4,2,5,7,1]=>[1,7,5,2,4,3,6]=>100000 [6,3,4,2,7,1,5]=>[5,1,7,2,4,3,6]=>000000 [6,3,4,2,7,5,1]=>[1,5,7,2,4,3,6]=>100000 [6,3,4,5,1,2,7]=>[7,2,1,5,4,3,6]=>000000 [6,3,4,5,1,7,2]=>[2,7,1,5,4,3,6]=>000000 [6,3,4,5,2,1,7]=>[7,1,2,5,4,3,6]=>000000 [6,3,4,5,2,7,1]=>[1,7,2,5,4,3,6]=>100000 [6,3,4,5,7,1,2]=>[2,1,7,5,4,3,6]=>010000 [6,3,4,5,7,2,1]=>[1,2,7,5,4,3,6]=>110000 [6,3,4,7,1,2,5]=>[5,2,1,7,4,3,6]=>000000 [6,3,4,7,1,5,2]=>[2,5,1,7,4,3,6]=>000000 [6,3,4,7,2,1,5]=>[5,1,2,7,4,3,6]=>000000 [6,3,4,7,2,5,1]=>[1,5,2,7,4,3,6]=>100000 [6,3,4,7,5,1,2]=>[2,1,5,7,4,3,6]=>010000 [6,3,4,7,5,2,1]=>[1,2,5,7,4,3,6]=>110000 [6,3,5,1,2,4,7]=>[7,4,2,1,5,3,6]=>000000 [6,3,5,1,2,7,4]=>[4,7,2,1,5,3,6]=>000000 [6,3,5,1,4,2,7]=>[7,2,4,1,5,3,6]=>000000 [6,3,5,1,4,7,2]=>[2,7,4,1,5,3,6]=>000000 [6,3,5,1,7,2,4]=>[4,2,7,1,5,3,6]=>000000 [6,3,5,1,7,4,2]=>[2,4,7,1,5,3,6]=>000000 [6,3,5,2,1,4,7]=>[7,4,1,2,5,3,6]=>000000 [6,3,5,2,1,7,4]=>[4,7,1,2,5,3,6]=>000000 [6,3,5,2,4,1,7]=>[7,1,4,2,5,3,6]=>000000 [6,3,5,2,4,7,1]=>[1,7,4,2,5,3,6]=>100000 [6,3,5,2,7,1,4]=>[4,1,7,2,5,3,6]=>000000 [6,3,5,2,7,4,1]=>[1,4,7,2,5,3,6]=>100000 [6,3,5,4,1,2,7]=>[7,2,1,4,5,3,6]=>000000 [6,3,5,4,1,7,2]=>[2,7,1,4,5,3,6]=>000000 [6,3,5,4,2,1,7]=>[7,1,2,4,5,3,6]=>000000 [6,3,5,4,2,7,1]=>[1,7,2,4,5,3,6]=>100000 [6,3,5,4,7,1,2]=>[2,1,7,4,5,3,6]=>010000 [6,3,5,4,7,2,1]=>[1,2,7,4,5,3,6]=>110000 [6,3,5,7,1,2,4]=>[4,2,1,7,5,3,6]=>000000 [6,3,5,7,1,4,2]=>[2,4,1,7,5,3,6]=>000000 [6,3,5,7,2,1,4]=>[4,1,2,7,5,3,6]=>000000 [6,3,5,7,2,4,1]=>[1,4,2,7,5,3,6]=>100000 [6,3,5,7,4,1,2]=>[2,1,4,7,5,3,6]=>010000 [6,3,5,7,4,2,1]=>[1,2,4,7,5,3,6]=>110000 [6,3,7,1,2,4,5]=>[5,4,2,1,7,3,6]=>000000 [6,3,7,1,2,5,4]=>[4,5,2,1,7,3,6]=>000000 [6,3,7,1,4,2,5]=>[5,2,4,1,7,3,6]=>000000 [6,3,7,1,4,5,2]=>[2,5,4,1,7,3,6]=>000000 [6,3,7,1,5,2,4]=>[4,2,5,1,7,3,6]=>000000 [6,3,7,1,5,4,2]=>[2,4,5,1,7,3,6]=>000000 [6,3,7,2,1,4,5]=>[5,4,1,2,7,3,6]=>000000 [6,3,7,2,1,5,4]=>[4,5,1,2,7,3,6]=>000000 [6,3,7,2,4,1,5]=>[5,1,4,2,7,3,6]=>000000 [6,3,7,2,4,5,1]=>[1,5,4,2,7,3,6]=>100000 [6,3,7,2,5,1,4]=>[4,1,5,2,7,3,6]=>000000 [6,3,7,2,5,4,1]=>[1,4,5,2,7,3,6]=>100000 [6,3,7,4,1,2,5]=>[5,2,1,4,7,3,6]=>000000 [6,3,7,4,1,5,2]=>[2,5,1,4,7,3,6]=>000000 [6,3,7,4,2,1,5]=>[5,1,2,4,7,3,6]=>000000 [6,3,7,4,2,5,1]=>[1,5,2,4,7,3,6]=>100000 [6,3,7,4,5,1,2]=>[2,1,5,4,7,3,6]=>010000 [6,3,7,4,5,2,1]=>[1,2,5,4,7,3,6]=>110000 [6,3,7,5,1,2,4]=>[4,2,1,5,7,3,6]=>000000 [6,3,7,5,1,4,2]=>[2,4,1,5,7,3,6]=>000000 [6,3,7,5,2,1,4]=>[4,1,2,5,7,3,6]=>000000 [6,3,7,5,2,4,1]=>[1,4,2,5,7,3,6]=>100000 [6,3,7,5,4,1,2]=>[2,1,4,5,7,3,6]=>010000 [6,3,7,5,4,2,1]=>[1,2,4,5,7,3,6]=>110000 [6,4,1,2,3,5,7]=>[7,5,3,2,1,4,6]=>000000 [6,4,1,2,3,7,5]=>[5,7,3,2,1,4,6]=>000000 [6,4,1,2,5,3,7]=>[7,3,5,2,1,4,6]=>000000 [6,4,1,2,5,7,3]=>[3,7,5,2,1,4,6]=>000000 [6,4,1,2,7,3,5]=>[5,3,7,2,1,4,6]=>000000 [6,4,1,2,7,5,3]=>[3,5,7,2,1,4,6]=>000000 [6,4,1,3,2,5,7]=>[7,5,2,3,1,4,6]=>000000 [6,4,1,3,2,7,5]=>[5,7,2,3,1,4,6]=>000000 [6,4,1,3,5,2,7]=>[7,2,5,3,1,4,6]=>000000 [6,4,1,3,5,7,2]=>[2,7,5,3,1,4,6]=>000000 [6,4,1,3,7,2,5]=>[5,2,7,3,1,4,6]=>000000 [6,4,1,3,7,5,2]=>[2,5,7,3,1,4,6]=>000000 [6,4,1,5,2,3,7]=>[7,3,2,5,1,4,6]=>000000 [6,4,1,5,2,7,3]=>[3,7,2,5,1,4,6]=>000000 [6,4,1,5,3,2,7]=>[7,2,3,5,1,4,6]=>000000 [6,4,1,5,3,7,2]=>[2,7,3,5,1,4,6]=>000000 [6,4,1,5,7,2,3]=>[3,2,7,5,1,4,6]=>000000 [6,4,1,5,7,3,2]=>[2,3,7,5,1,4,6]=>000000 [6,4,1,7,2,3,5]=>[5,3,2,7,1,4,6]=>000000 [6,4,1,7,2,5,3]=>[3,5,2,7,1,4,6]=>000000 [6,4,1,7,3,2,5]=>[5,2,3,7,1,4,6]=>000000 [6,4,1,7,3,5,2]=>[2,5,3,7,1,4,6]=>000000 [6,4,1,7,5,2,3]=>[3,2,5,7,1,4,6]=>000000 [6,4,1,7,5,3,2]=>[2,3,5,7,1,4,6]=>000000 [6,4,2,1,3,5,7]=>[7,5,3,1,2,4,6]=>000000 [6,4,2,1,3,7,5]=>[5,7,3,1,2,4,6]=>000000 [6,4,2,1,5,3,7]=>[7,3,5,1,2,4,6]=>000000 [6,4,2,1,5,7,3]=>[3,7,5,1,2,4,6]=>000000 [6,4,2,1,7,3,5]=>[5,3,7,1,2,4,6]=>000000 [6,4,2,1,7,5,3]=>[3,5,7,1,2,4,6]=>000000 [6,4,2,3,1,5,7]=>[7,5,1,3,2,4,6]=>000000 [6,4,2,3,1,7,5]=>[5,7,1,3,2,4,6]=>000000 [6,4,2,3,5,1,7]=>[7,1,5,3,2,4,6]=>000000 [6,4,2,3,5,7,1]=>[1,7,5,3,2,4,6]=>100000 [6,4,2,3,7,1,5]=>[5,1,7,3,2,4,6]=>000000 [6,4,2,3,7,5,1]=>[1,5,7,3,2,4,6]=>100000 [6,4,2,5,1,3,7]=>[7,3,1,5,2,4,6]=>000000 [6,4,2,5,1,7,3]=>[3,7,1,5,2,4,6]=>000000 [6,4,2,5,3,1,7]=>[7,1,3,5,2,4,6]=>000000 [6,4,2,5,3,7,1]=>[1,7,3,5,2,4,6]=>100000 [6,4,2,5,7,1,3]=>[3,1,7,5,2,4,6]=>000000 [6,4,2,5,7,3,1]=>[1,3,7,5,2,4,6]=>100000 [6,4,2,7,1,3,5]=>[5,3,1,7,2,4,6]=>000000 [6,4,2,7,1,5,3]=>[3,5,1,7,2,4,6]=>000000 [6,4,2,7,3,1,5]=>[5,1,3,7,2,4,6]=>000000 [6,4,2,7,3,5,1]=>[1,5,3,7,2,4,6]=>100000 [6,4,2,7,5,1,3]=>[3,1,5,7,2,4,6]=>000000 [6,4,2,7,5,3,1]=>[1,3,5,7,2,4,6]=>100000 [6,4,3,1,2,5,7]=>[7,5,2,1,3,4,6]=>000000 [6,4,3,1,2,7,5]=>[5,7,2,1,3,4,6]=>000000 [6,4,3,1,5,2,7]=>[7,2,5,1,3,4,6]=>000000 [6,4,3,1,5,7,2]=>[2,7,5,1,3,4,6]=>000000 [6,4,3,1,7,2,5]=>[5,2,7,1,3,4,6]=>000000 [6,4,3,1,7,5,2]=>[2,5,7,1,3,4,6]=>000000 [6,4,3,2,1,5,7]=>[7,5,1,2,3,4,6]=>000000 [6,4,3,2,1,7,5]=>[5,7,1,2,3,4,6]=>000000 [6,4,3,2,5,1,7]=>[7,1,5,2,3,4,6]=>000000 [6,4,3,2,5,7,1]=>[1,7,5,2,3,4,6]=>100000 [6,4,3,2,7,1,5]=>[5,1,7,2,3,4,6]=>000000 [6,4,3,2,7,5,1]=>[1,5,7,2,3,4,6]=>100000 [6,4,3,5,1,2,7]=>[7,2,1,5,3,4,6]=>000000 [6,4,3,5,1,7,2]=>[2,7,1,5,3,4,6]=>000000 [6,4,3,5,2,1,7]=>[7,1,2,5,3,4,6]=>000000 [6,4,3,5,2,7,1]=>[1,7,2,5,3,4,6]=>100000 [6,4,3,5,7,1,2]=>[2,1,7,5,3,4,6]=>010000 [6,4,3,5,7,2,1]=>[1,2,7,5,3,4,6]=>110000 [6,4,3,7,1,2,5]=>[5,2,1,7,3,4,6]=>000000 [6,4,3,7,1,5,2]=>[2,5,1,7,3,4,6]=>000000 [6,4,3,7,2,1,5]=>[5,1,2,7,3,4,6]=>000000 [6,4,3,7,2,5,1]=>[1,5,2,7,3,4,6]=>100000 [6,4,3,7,5,1,2]=>[2,1,5,7,3,4,6]=>010000 [6,4,3,7,5,2,1]=>[1,2,5,7,3,4,6]=>110000 [6,4,5,1,2,3,7]=>[7,3,2,1,5,4,6]=>000000 [6,4,5,1,2,7,3]=>[3,7,2,1,5,4,6]=>000000 [6,4,5,1,3,2,7]=>[7,2,3,1,5,4,6]=>000000 [6,4,5,1,3,7,2]=>[2,7,3,1,5,4,6]=>000000 [6,4,5,1,7,2,3]=>[3,2,7,1,5,4,6]=>000000 [6,4,5,1,7,3,2]=>[2,3,7,1,5,4,6]=>000000 [6,4,5,2,1,3,7]=>[7,3,1,2,5,4,6]=>000000 [6,4,5,2,1,7,3]=>[3,7,1,2,5,4,6]=>000000 [6,4,5,2,3,1,7]=>[7,1,3,2,5,4,6]=>000000 [6,4,5,2,3,7,1]=>[1,7,3,2,5,4,6]=>100000 [6,4,5,2,7,1,3]=>[3,1,7,2,5,4,6]=>000000 [6,4,5,2,7,3,1]=>[1,3,7,2,5,4,6]=>100000 [6,4,5,3,1,2,7]=>[7,2,1,3,5,4,6]=>000000 [6,4,5,3,1,7,2]=>[2,7,1,3,5,4,6]=>000000 [6,4,5,3,2,1,7]=>[7,1,2,3,5,4,6]=>000000 [6,4,5,3,2,7,1]=>[1,7,2,3,5,4,6]=>100000 [6,4,5,3,7,1,2]=>[2,1,7,3,5,4,6]=>010000 [6,4,5,3,7,2,1]=>[1,2,7,3,5,4,6]=>110000 [6,4,5,7,1,2,3]=>[3,2,1,7,5,4,6]=>001000 [6,4,5,7,1,3,2]=>[2,3,1,7,5,4,6]=>001000 [6,4,5,7,2,1,3]=>[3,1,2,7,5,4,6]=>001000 [6,4,5,7,2,3,1]=>[1,3,2,7,5,4,6]=>101000 [6,4,5,7,3,1,2]=>[2,1,3,7,5,4,6]=>011000 [6,4,5,7,3,2,1]=>[1,2,3,7,5,4,6]=>111000 [6,4,7,1,2,3,5]=>[5,3,2,1,7,4,6]=>000000 [6,4,7,1,2,5,3]=>[3,5,2,1,7,4,6]=>000000 [6,4,7,1,3,2,5]=>[5,2,3,1,7,4,6]=>000000 [6,4,7,1,3,5,2]=>[2,5,3,1,7,4,6]=>000000 [6,4,7,1,5,2,3]=>[3,2,5,1,7,4,6]=>000000 [6,4,7,1,5,3,2]=>[2,3,5,1,7,4,6]=>000000 [6,4,7,2,1,3,5]=>[5,3,1,2,7,4,6]=>000000 [6,4,7,2,1,5,3]=>[3,5,1,2,7,4,6]=>000000 [6,4,7,2,3,1,5]=>[5,1,3,2,7,4,6]=>000000 [6,4,7,2,3,5,1]=>[1,5,3,2,7,4,6]=>100000 [6,4,7,2,5,1,3]=>[3,1,5,2,7,4,6]=>000000 [6,4,7,2,5,3,1]=>[1,3,5,2,7,4,6]=>100000 [6,4,7,3,1,2,5]=>[5,2,1,3,7,4,6]=>000000 [6,4,7,3,1,5,2]=>[2,5,1,3,7,4,6]=>000000 [6,4,7,3,2,1,5]=>[5,1,2,3,7,4,6]=>000000 [6,4,7,3,2,5,1]=>[1,5,2,3,7,4,6]=>100000 [6,4,7,3,5,1,2]=>[2,1,5,3,7,4,6]=>010000 [6,4,7,3,5,2,1]=>[1,2,5,3,7,4,6]=>110000 [6,4,7,5,1,2,3]=>[3,2,1,5,7,4,6]=>001000 [6,4,7,5,1,3,2]=>[2,3,1,5,7,4,6]=>001000 [6,4,7,5,2,1,3]=>[3,1,2,5,7,4,6]=>001000 [6,4,7,5,2,3,1]=>[1,3,2,5,7,4,6]=>101000 [6,4,7,5,3,1,2]=>[2,1,3,5,7,4,6]=>011000 [6,4,7,5,3,2,1]=>[1,2,3,5,7,4,6]=>111000 [6,5,1,2,3,4,7]=>[7,4,3,2,1,5,6]=>000000 [6,5,1,2,3,7,4]=>[4,7,3,2,1,5,6]=>000000 [6,5,1,2,4,3,7]=>[7,3,4,2,1,5,6]=>000000 [6,5,1,2,4,7,3]=>[3,7,4,2,1,5,6]=>000000 [6,5,1,2,7,3,4]=>[4,3,7,2,1,5,6]=>000000 [6,5,1,2,7,4,3]=>[3,4,7,2,1,5,6]=>000000 [6,5,1,3,2,4,7]=>[7,4,2,3,1,5,6]=>000000 [6,5,1,3,2,7,4]=>[4,7,2,3,1,5,6]=>000000 [6,5,1,3,4,2,7]=>[7,2,4,3,1,5,6]=>000000 [6,5,1,3,4,7,2]=>[2,7,4,3,1,5,6]=>000000 [6,5,1,3,7,2,4]=>[4,2,7,3,1,5,6]=>000000 [6,5,1,3,7,4,2]=>[2,4,7,3,1,5,6]=>000000 [6,5,1,4,2,3,7]=>[7,3,2,4,1,5,6]=>000000 [6,5,1,4,2,7,3]=>[3,7,2,4,1,5,6]=>000000 [6,5,1,4,3,2,7]=>[7,2,3,4,1,5,6]=>000000 [6,5,1,4,3,7,2]=>[2,7,3,4,1,5,6]=>000000 [6,5,1,4,7,2,3]=>[3,2,7,4,1,5,6]=>000000 [6,5,1,4,7,3,2]=>[2,3,7,4,1,5,6]=>000000 [6,5,1,7,2,3,4]=>[4,3,2,7,1,5,6]=>000000 [6,5,1,7,2,4,3]=>[3,4,2,7,1,5,6]=>000000 [6,5,1,7,3,2,4]=>[4,2,3,7,1,5,6]=>000000 [6,5,1,7,3,4,2]=>[2,4,3,7,1,5,6]=>000000 [6,5,1,7,4,2,3]=>[3,2,4,7,1,5,6]=>000000 [6,5,1,7,4,3,2]=>[2,3,4,7,1,5,6]=>000000 [6,5,2,1,3,4,7]=>[7,4,3,1,2,5,6]=>000000 [6,5,2,1,3,7,4]=>[4,7,3,1,2,5,6]=>000000 [6,5,2,1,4,3,7]=>[7,3,4,1,2,5,6]=>000000 [6,5,2,1,4,7,3]=>[3,7,4,1,2,5,6]=>000000 [6,5,2,1,7,3,4]=>[4,3,7,1,2,5,6]=>000000 [6,5,2,1,7,4,3]=>[3,4,7,1,2,5,6]=>000000 [6,5,2,3,1,4,7]=>[7,4,1,3,2,5,6]=>000000 [6,5,2,3,1,7,4]=>[4,7,1,3,2,5,6]=>000000 [6,5,2,3,4,1,7]=>[7,1,4,3,2,5,6]=>000000 [6,5,2,3,4,7,1]=>[1,7,4,3,2,5,6]=>100000 [6,5,2,3,7,1,4]=>[4,1,7,3,2,5,6]=>000000 [6,5,2,3,7,4,1]=>[1,4,7,3,2,5,6]=>100000 [6,5,2,4,1,3,7]=>[7,3,1,4,2,5,6]=>000000 [6,5,2,4,1,7,3]=>[3,7,1,4,2,5,6]=>000000 [6,5,2,4,3,1,7]=>[7,1,3,4,2,5,6]=>000000 [6,5,2,4,3,7,1]=>[1,7,3,4,2,5,6]=>100000 [6,5,2,4,7,1,3]=>[3,1,7,4,2,5,6]=>000000 [6,5,2,4,7,3,1]=>[1,3,7,4,2,5,6]=>100000 [6,5,2,7,1,3,4]=>[4,3,1,7,2,5,6]=>000000 [6,5,2,7,1,4,3]=>[3,4,1,7,2,5,6]=>000000 [6,5,2,7,3,1,4]=>[4,1,3,7,2,5,6]=>000000 [6,5,2,7,3,4,1]=>[1,4,3,7,2,5,6]=>100000 [6,5,2,7,4,1,3]=>[3,1,4,7,2,5,6]=>000000 [6,5,2,7,4,3,1]=>[1,3,4,7,2,5,6]=>100000 [6,5,3,1,2,4,7]=>[7,4,2,1,3,5,6]=>000000 [6,5,3,1,2,7,4]=>[4,7,2,1,3,5,6]=>000000 [6,5,3,1,4,2,7]=>[7,2,4,1,3,5,6]=>000000 [6,5,3,1,4,7,2]=>[2,7,4,1,3,5,6]=>000000 [6,5,3,1,7,2,4]=>[4,2,7,1,3,5,6]=>000000 [6,5,3,1,7,4,2]=>[2,4,7,1,3,5,6]=>000000 [6,5,3,2,1,4,7]=>[7,4,1,2,3,5,6]=>000000 [6,5,3,2,1,7,4]=>[4,7,1,2,3,5,6]=>000000 [6,5,3,2,4,1,7]=>[7,1,4,2,3,5,6]=>000000 [6,5,3,2,4,7,1]=>[1,7,4,2,3,5,6]=>100000 [6,5,3,2,7,1,4]=>[4,1,7,2,3,5,6]=>000000 [6,5,3,2,7,4,1]=>[1,4,7,2,3,5,6]=>100000 [6,5,3,4,1,2,7]=>[7,2,1,4,3,5,6]=>000000 [6,5,3,4,1,7,2]=>[2,7,1,4,3,5,6]=>000000 [6,5,3,4,2,1,7]=>[7,1,2,4,3,5,6]=>000000 [6,5,3,4,2,7,1]=>[1,7,2,4,3,5,6]=>100000 [6,5,3,4,7,1,2]=>[2,1,7,4,3,5,6]=>010000 [6,5,3,4,7,2,1]=>[1,2,7,4,3,5,6]=>110000 [6,5,3,7,1,2,4]=>[4,2,1,7,3,5,6]=>000000 [6,5,3,7,1,4,2]=>[2,4,1,7,3,5,6]=>000000 [6,5,3,7,2,1,4]=>[4,1,2,7,3,5,6]=>000000 [6,5,3,7,2,4,1]=>[1,4,2,7,3,5,6]=>100000 [6,5,3,7,4,1,2]=>[2,1,4,7,3,5,6]=>010000 [6,5,3,7,4,2,1]=>[1,2,4,7,3,5,6]=>110000 [6,5,4,1,2,3,7]=>[7,3,2,1,4,5,6]=>000000 [6,5,4,1,2,7,3]=>[3,7,2,1,4,5,6]=>000000 [6,5,4,1,3,2,7]=>[7,2,3,1,4,5,6]=>000000 [6,5,4,1,3,7,2]=>[2,7,3,1,4,5,6]=>000000 [6,5,4,1,7,2,3]=>[3,2,7,1,4,5,6]=>000000 [6,5,4,1,7,3,2]=>[2,3,7,1,4,5,6]=>000000 [6,5,4,2,1,3,7]=>[7,3,1,2,4,5,6]=>000000 [6,5,4,2,1,7,3]=>[3,7,1,2,4,5,6]=>000000 [6,5,4,2,3,1,7]=>[7,1,3,2,4,5,6]=>000000 [6,5,4,2,3,7,1]=>[1,7,3,2,4,5,6]=>100000 [6,5,4,2,7,1,3]=>[3,1,7,2,4,5,6]=>000000 [6,5,4,2,7,3,1]=>[1,3,7,2,4,5,6]=>100000 [6,5,4,3,1,2,7]=>[7,2,1,3,4,5,6]=>000000 [6,5,4,3,1,7,2]=>[2,7,1,3,4,5,6]=>000000 [6,5,4,3,2,1,7]=>[7,1,2,3,4,5,6]=>000000 [6,5,4,3,2,7,1]=>[1,7,2,3,4,5,6]=>100000 [6,5,4,3,7,1,2]=>[2,1,7,3,4,5,6]=>010000 [6,5,4,3,7,2,1]=>[1,2,7,3,4,5,6]=>110000 [6,5,4,7,1,2,3]=>[3,2,1,7,4,5,6]=>001000 [6,5,4,7,1,3,2]=>[2,3,1,7,4,5,6]=>001000 [6,5,4,7,2,1,3]=>[3,1,2,7,4,5,6]=>001000 [6,5,4,7,2,3,1]=>[1,3,2,7,4,5,6]=>101000 [6,5,4,7,3,1,2]=>[2,1,3,7,4,5,6]=>011000 [6,5,4,7,3,2,1]=>[1,2,3,7,4,5,6]=>111000 [6,5,7,1,2,3,4]=>[4,3,2,1,7,5,6]=>000100 [6,5,7,1,2,4,3]=>[3,4,2,1,7,5,6]=>000100 [6,5,7,1,3,2,4]=>[4,2,3,1,7,5,6]=>000100 [6,5,7,1,3,4,2]=>[2,4,3,1,7,5,6]=>000100 [6,5,7,1,4,2,3]=>[3,2,4,1,7,5,6]=>000100 [6,5,7,1,4,3,2]=>[2,3,4,1,7,5,6]=>000100 [6,5,7,2,1,3,4]=>[4,3,1,2,7,5,6]=>000100 [6,5,7,2,1,4,3]=>[3,4,1,2,7,5,6]=>000100 [6,5,7,2,3,1,4]=>[4,1,3,2,7,5,6]=>000100 [6,5,7,2,3,4,1]=>[1,4,3,2,7,5,6]=>100100 [6,5,7,2,4,1,3]=>[3,1,4,2,7,5,6]=>000100 [6,5,7,2,4,3,1]=>[1,3,4,2,7,5,6]=>100100 [6,5,7,3,1,2,4]=>[4,2,1,3,7,5,6]=>000100 [6,5,7,3,1,4,2]=>[2,4,1,3,7,5,6]=>000100 [6,5,7,3,2,1,4]=>[4,1,2,3,7,5,6]=>000100 [6,5,7,3,2,4,1]=>[1,4,2,3,7,5,6]=>100100 [6,5,7,3,4,1,2]=>[2,1,4,3,7,5,6]=>010100 [6,5,7,3,4,2,1]=>[1,2,4,3,7,5,6]=>110100 [6,5,7,4,1,2,3]=>[3,2,1,4,7,5,6]=>001100 [6,5,7,4,1,3,2]=>[2,3,1,4,7,5,6]=>001100 [6,5,7,4,2,1,3]=>[3,1,2,4,7,5,6]=>001100 [6,5,7,4,2,3,1]=>[1,3,2,4,7,5,6]=>101100 [6,5,7,4,3,1,2]=>[2,1,3,4,7,5,6]=>011100 [6,5,7,4,3,2,1]=>[1,2,3,4,7,5,6]=>111100 [6,7,1,2,3,4,5]=>[5,4,3,2,1,7,6]=>000010 [6,7,1,2,3,5,4]=>[4,5,3,2,1,7,6]=>000010 [6,7,1,2,4,3,5]=>[5,3,4,2,1,7,6]=>000010 [6,7,1,2,4,5,3]=>[3,5,4,2,1,7,6]=>000010 [6,7,1,2,5,3,4]=>[4,3,5,2,1,7,6]=>000010 [6,7,1,2,5,4,3]=>[3,4,5,2,1,7,6]=>000010 [6,7,1,3,2,4,5]=>[5,4,2,3,1,7,6]=>000010 [6,7,1,3,2,5,4]=>[4,5,2,3,1,7,6]=>000010 [6,7,1,3,4,2,5]=>[5,2,4,3,1,7,6]=>000010 [6,7,1,3,4,5,2]=>[2,5,4,3,1,7,6]=>000010 [6,7,1,3,5,2,4]=>[4,2,5,3,1,7,6]=>000010 [6,7,1,3,5,4,2]=>[2,4,5,3,1,7,6]=>000010 [6,7,1,4,2,3,5]=>[5,3,2,4,1,7,6]=>000010 [6,7,1,4,2,5,3]=>[3,5,2,4,1,7,6]=>000010 [6,7,1,4,3,2,5]=>[5,2,3,4,1,7,6]=>000010 [6,7,1,4,3,5,2]=>[2,5,3,4,1,7,6]=>000010 [6,7,1,4,5,2,3]=>[3,2,5,4,1,7,6]=>000010 [6,7,1,4,5,3,2]=>[2,3,5,4,1,7,6]=>000010 [6,7,1,5,2,3,4]=>[4,3,2,5,1,7,6]=>000010 [6,7,1,5,2,4,3]=>[3,4,2,5,1,7,6]=>000010 [6,7,1,5,3,2,4]=>[4,2,3,5,1,7,6]=>000010 [6,7,1,5,3,4,2]=>[2,4,3,5,1,7,6]=>000010 [6,7,1,5,4,2,3]=>[3,2,4,5,1,7,6]=>000010 [6,7,1,5,4,3,2]=>[2,3,4,5,1,7,6]=>000010 [6,7,2,1,3,4,5]=>[5,4,3,1,2,7,6]=>000010 [6,7,2,1,3,5,4]=>[4,5,3,1,2,7,6]=>000010 [6,7,2,1,4,3,5]=>[5,3,4,1,2,7,6]=>000010 [6,7,2,1,4,5,3]=>[3,5,4,1,2,7,6]=>000010 [6,7,2,1,5,3,4]=>[4,3,5,1,2,7,6]=>000010 [6,7,2,1,5,4,3]=>[3,4,5,1,2,7,6]=>000010 [6,7,2,3,1,4,5]=>[5,4,1,3,2,7,6]=>000010 [6,7,2,3,1,5,4]=>[4,5,1,3,2,7,6]=>000010 [6,7,2,3,4,1,5]=>[5,1,4,3,2,7,6]=>000010 [6,7,2,3,4,5,1]=>[1,5,4,3,2,7,6]=>100010 [6,7,2,3,5,1,4]=>[4,1,5,3,2,7,6]=>000010 [6,7,2,3,5,4,1]=>[1,4,5,3,2,7,6]=>100010 [6,7,2,4,1,3,5]=>[5,3,1,4,2,7,6]=>000010 [6,7,2,4,1,5,3]=>[3,5,1,4,2,7,6]=>000010 [6,7,2,4,3,1,5]=>[5,1,3,4,2,7,6]=>000010 [6,7,2,4,3,5,1]=>[1,5,3,4,2,7,6]=>100010 [6,7,2,4,5,1,3]=>[3,1,5,4,2,7,6]=>000010 [6,7,2,4,5,3,1]=>[1,3,5,4,2,7,6]=>100010 [6,7,2,5,1,3,4]=>[4,3,1,5,2,7,6]=>000010 [6,7,2,5,1,4,3]=>[3,4,1,5,2,7,6]=>000010 [6,7,2,5,3,1,4]=>[4,1,3,5,2,7,6]=>000010 [6,7,2,5,3,4,1]=>[1,4,3,5,2,7,6]=>100010 [6,7,2,5,4,1,3]=>[3,1,4,5,2,7,6]=>000010 [6,7,2,5,4,3,1]=>[1,3,4,5,2,7,6]=>100010 [6,7,3,1,2,4,5]=>[5,4,2,1,3,7,6]=>000010 [6,7,3,1,2,5,4]=>[4,5,2,1,3,7,6]=>000010 [6,7,3,1,4,2,5]=>[5,2,4,1,3,7,6]=>000010 [6,7,3,1,4,5,2]=>[2,5,4,1,3,7,6]=>000010 [6,7,3,1,5,2,4]=>[4,2,5,1,3,7,6]=>000010 [6,7,3,1,5,4,2]=>[2,4,5,1,3,7,6]=>000010 [6,7,3,2,1,4,5]=>[5,4,1,2,3,7,6]=>000010 [6,7,3,2,1,5,4]=>[4,5,1,2,3,7,6]=>000010 [6,7,3,2,4,1,5]=>[5,1,4,2,3,7,6]=>000010 [6,7,3,2,4,5,1]=>[1,5,4,2,3,7,6]=>100010 [6,7,3,2,5,1,4]=>[4,1,5,2,3,7,6]=>000010 [6,7,3,2,5,4,1]=>[1,4,5,2,3,7,6]=>100010 [6,7,3,4,1,2,5]=>[5,2,1,4,3,7,6]=>000010 [6,7,3,4,1,5,2]=>[2,5,1,4,3,7,6]=>000010 [6,7,3,4,2,1,5]=>[5,1,2,4,3,7,6]=>000010 [6,7,3,4,2,5,1]=>[1,5,2,4,3,7,6]=>100010 [6,7,3,4,5,1,2]=>[2,1,5,4,3,7,6]=>010010 [6,7,3,4,5,2,1]=>[1,2,5,4,3,7,6]=>110010 [6,7,3,5,1,2,4]=>[4,2,1,5,3,7,6]=>000010 [6,7,3,5,1,4,2]=>[2,4,1,5,3,7,6]=>000010 [6,7,3,5,2,1,4]=>[4,1,2,5,3,7,6]=>000010 [6,7,3,5,2,4,1]=>[1,4,2,5,3,7,6]=>100010 [6,7,3,5,4,1,2]=>[2,1,4,5,3,7,6]=>010010 [6,7,3,5,4,2,1]=>[1,2,4,5,3,7,6]=>110010 [6,7,4,1,2,3,5]=>[5,3,2,1,4,7,6]=>000010 [6,7,4,1,2,5,3]=>[3,5,2,1,4,7,6]=>000010 [6,7,4,1,3,2,5]=>[5,2,3,1,4,7,6]=>000010 [6,7,4,1,3,5,2]=>[2,5,3,1,4,7,6]=>000010 [6,7,4,1,5,2,3]=>[3,2,5,1,4,7,6]=>000010 [6,7,4,1,5,3,2]=>[2,3,5,1,4,7,6]=>000010 [6,7,4,2,1,3,5]=>[5,3,1,2,4,7,6]=>000010 [6,7,4,2,1,5,3]=>[3,5,1,2,4,7,6]=>000010 [6,7,4,2,3,1,5]=>[5,1,3,2,4,7,6]=>000010 [6,7,4,2,3,5,1]=>[1,5,3,2,4,7,6]=>100010 [6,7,4,2,5,1,3]=>[3,1,5,2,4,7,6]=>000010 [6,7,4,2,5,3,1]=>[1,3,5,2,4,7,6]=>100010 [6,7,4,3,1,2,5]=>[5,2,1,3,4,7,6]=>000010 [6,7,4,3,1,5,2]=>[2,5,1,3,4,7,6]=>000010 [6,7,4,3,2,1,5]=>[5,1,2,3,4,7,6]=>000010 [6,7,4,3,2,5,1]=>[1,5,2,3,4,7,6]=>100010 [6,7,4,3,5,1,2]=>[2,1,5,3,4,7,6]=>010010 [6,7,4,3,5,2,1]=>[1,2,5,3,4,7,6]=>110010 [6,7,4,5,1,2,3]=>[3,2,1,5,4,7,6]=>001010 [6,7,4,5,1,3,2]=>[2,3,1,5,4,7,6]=>001010 [6,7,4,5,2,1,3]=>[3,1,2,5,4,7,6]=>001010 [6,7,4,5,2,3,1]=>[1,3,2,5,4,7,6]=>101010 [6,7,4,5,3,1,2]=>[2,1,3,5,4,7,6]=>011010 [6,7,4,5,3,2,1]=>[1,2,3,5,4,7,6]=>111010 [6,7,5,1,2,3,4]=>[4,3,2,1,5,7,6]=>000110 [6,7,5,1,2,4,3]=>[3,4,2,1,5,7,6]=>000110 [6,7,5,1,3,2,4]=>[4,2,3,1,5,7,6]=>000110 [6,7,5,1,3,4,2]=>[2,4,3,1,5,7,6]=>000110 [6,7,5,1,4,2,3]=>[3,2,4,1,5,7,6]=>000110 [6,7,5,1,4,3,2]=>[2,3,4,1,5,7,6]=>000110 [6,7,5,2,1,3,4]=>[4,3,1,2,5,7,6]=>000110 [6,7,5,2,1,4,3]=>[3,4,1,2,5,7,6]=>000110 [6,7,5,2,3,1,4]=>[4,1,3,2,5,7,6]=>000110 [6,7,5,2,3,4,1]=>[1,4,3,2,5,7,6]=>100110 [6,7,5,2,4,1,3]=>[3,1,4,2,5,7,6]=>000110 [6,7,5,2,4,3,1]=>[1,3,4,2,5,7,6]=>100110 [6,7,5,3,1,2,4]=>[4,2,1,3,5,7,6]=>000110 [6,7,5,3,1,4,2]=>[2,4,1,3,5,7,6]=>000110 [6,7,5,3,2,1,4]=>[4,1,2,3,5,7,6]=>000110 [6,7,5,3,2,4,1]=>[1,4,2,3,5,7,6]=>100110 [6,7,5,3,4,1,2]=>[2,1,4,3,5,7,6]=>010110 [6,7,5,3,4,2,1]=>[1,2,4,3,5,7,6]=>110110 [6,7,5,4,1,2,3]=>[3,2,1,4,5,7,6]=>001110 [6,7,5,4,1,3,2]=>[2,3,1,4,5,7,6]=>001110 [6,7,5,4,2,1,3]=>[3,1,2,4,5,7,6]=>001110 [6,7,5,4,2,3,1]=>[1,3,2,4,5,7,6]=>101110 [6,7,5,4,3,1,2]=>[2,1,3,4,5,7,6]=>011110 [6,7,5,4,3,2,1]=>[1,2,3,4,5,7,6]=>111110 [7,1,2,3,4,5,6]=>[6,5,4,3,2,1,7]=>000001 [7,1,2,3,4,6,5]=>[5,6,4,3,2,1,7]=>000001 [7,1,2,3,5,4,6]=>[6,4,5,3,2,1,7]=>000001 [7,1,2,3,5,6,4]=>[4,6,5,3,2,1,7]=>000001 [7,1,2,3,6,4,5]=>[5,4,6,3,2,1,7]=>000001 [7,1,2,3,6,5,4]=>[4,5,6,3,2,1,7]=>000001 [7,1,2,4,3,5,6]=>[6,5,3,4,2,1,7]=>000001 [7,1,2,4,3,6,5]=>[5,6,3,4,2,1,7]=>000001 [7,1,2,4,5,3,6]=>[6,3,5,4,2,1,7]=>000001 [7,1,2,4,5,6,3]=>[3,6,5,4,2,1,7]=>000001 [7,1,2,4,6,3,5]=>[5,3,6,4,2,1,7]=>000001 [7,1,2,4,6,5,3]=>[3,5,6,4,2,1,7]=>000001 [7,1,2,5,3,4,6]=>[6,4,3,5,2,1,7]=>000001 [7,1,2,5,3,6,4]=>[4,6,3,5,2,1,7]=>000001 [7,1,2,5,4,3,6]=>[6,3,4,5,2,1,7]=>000001 [7,1,2,5,4,6,3]=>[3,6,4,5,2,1,7]=>000001 [7,1,2,5,6,3,4]=>[4,3,6,5,2,1,7]=>000001 [7,1,2,5,6,4,3]=>[3,4,6,5,2,1,7]=>000001 [7,1,2,6,3,4,5]=>[5,4,3,6,2,1,7]=>000001 [7,1,2,6,3,5,4]=>[4,5,3,6,2,1,7]=>000001 [7,1,2,6,4,3,5]=>[5,3,4,6,2,1,7]=>000001 [7,1,2,6,4,5,3]=>[3,5,4,6,2,1,7]=>000001 [7,1,2,6,5,3,4]=>[4,3,5,6,2,1,7]=>000001 [7,1,2,6,5,4,3]=>[3,4,5,6,2,1,7]=>000001 [7,1,3,2,4,5,6]=>[6,5,4,2,3,1,7]=>000001 [7,1,3,2,4,6,5]=>[5,6,4,2,3,1,7]=>000001 [7,1,3,2,5,4,6]=>[6,4,5,2,3,1,7]=>000001 [7,1,3,2,5,6,4]=>[4,6,5,2,3,1,7]=>000001 [7,1,3,2,6,4,5]=>[5,4,6,2,3,1,7]=>000001 [7,1,3,2,6,5,4]=>[4,5,6,2,3,1,7]=>000001 [7,1,3,4,2,5,6]=>[6,5,2,4,3,1,7]=>000001 [7,1,3,4,2,6,5]=>[5,6,2,4,3,1,7]=>000001 [7,1,3,4,5,2,6]=>[6,2,5,4,3,1,7]=>000001 [7,1,3,4,5,6,2]=>[2,6,5,4,3,1,7]=>000001 [7,1,3,4,6,2,5]=>[5,2,6,4,3,1,7]=>000001 [7,1,3,4,6,5,2]=>[2,5,6,4,3,1,7]=>000001 [7,1,3,5,2,4,6]=>[6,4,2,5,3,1,7]=>000001 [7,1,3,5,2,6,4]=>[4,6,2,5,3,1,7]=>000001 [7,1,3,5,4,2,6]=>[6,2,4,5,3,1,7]=>000001 [7,1,3,5,4,6,2]=>[2,6,4,5,3,1,7]=>000001 [7,1,3,5,6,2,4]=>[4,2,6,5,3,1,7]=>000001 [7,1,3,5,6,4,2]=>[2,4,6,5,3,1,7]=>000001 [7,1,3,6,2,4,5]=>[5,4,2,6,3,1,7]=>000001 [7,1,3,6,2,5,4]=>[4,5,2,6,3,1,7]=>000001 [7,1,3,6,4,2,5]=>[5,2,4,6,3,1,7]=>000001 [7,1,3,6,4,5,2]=>[2,5,4,6,3,1,7]=>000001 [7,1,3,6,5,2,4]=>[4,2,5,6,3,1,7]=>000001 [7,1,3,6,5,4,2]=>[2,4,5,6,3,1,7]=>000001 [7,1,4,2,3,5,6]=>[6,5,3,2,4,1,7]=>000001 [7,1,4,2,3,6,5]=>[5,6,3,2,4,1,7]=>000001 [7,1,4,2,5,3,6]=>[6,3,5,2,4,1,7]=>000001 [7,1,4,2,5,6,3]=>[3,6,5,2,4,1,7]=>000001 [7,1,4,2,6,3,5]=>[5,3,6,2,4,1,7]=>000001 [7,1,4,2,6,5,3]=>[3,5,6,2,4,1,7]=>000001 [7,1,4,3,2,5,6]=>[6,5,2,3,4,1,7]=>000001 [7,1,4,3,2,6,5]=>[5,6,2,3,4,1,7]=>000001 [7,1,4,3,5,2,6]=>[6,2,5,3,4,1,7]=>000001 [7,1,4,3,5,6,2]=>[2,6,5,3,4,1,7]=>000001 [7,1,4,3,6,2,5]=>[5,2,6,3,4,1,7]=>000001 [7,1,4,3,6,5,2]=>[2,5,6,3,4,1,7]=>000001 [7,1,4,5,2,3,6]=>[6,3,2,5,4,1,7]=>000001 [7,1,4,5,2,6,3]=>[3,6,2,5,4,1,7]=>000001 [7,1,4,5,3,2,6]=>[6,2,3,5,4,1,7]=>000001 [7,1,4,5,3,6,2]=>[2,6,3,5,4,1,7]=>000001 [7,1,4,5,6,2,3]=>[3,2,6,5,4,1,7]=>000001 [7,1,4,5,6,3,2]=>[2,3,6,5,4,1,7]=>000001 [7,1,4,6,2,3,5]=>[5,3,2,6,4,1,7]=>000001 [7,1,4,6,2,5,3]=>[3,5,2,6,4,1,7]=>000001 [7,1,4,6,3,2,5]=>[5,2,3,6,4,1,7]=>000001 [7,1,4,6,3,5,2]=>[2,5,3,6,4,1,7]=>000001 [7,1,4,6,5,2,3]=>[3,2,5,6,4,1,7]=>000001 [7,1,4,6,5,3,2]=>[2,3,5,6,4,1,7]=>000001 [7,1,5,2,3,4,6]=>[6,4,3,2,5,1,7]=>000001 [7,1,5,2,3,6,4]=>[4,6,3,2,5,1,7]=>000001 [7,1,5,2,4,3,6]=>[6,3,4,2,5,1,7]=>000001 [7,1,5,2,4,6,3]=>[3,6,4,2,5,1,7]=>000001 [7,1,5,2,6,3,4]=>[4,3,6,2,5,1,7]=>000001 [7,1,5,2,6,4,3]=>[3,4,6,2,5,1,7]=>000001 [7,1,5,3,2,4,6]=>[6,4,2,3,5,1,7]=>000001 [7,1,5,3,2,6,4]=>[4,6,2,3,5,1,7]=>000001 [7,1,5,3,4,2,6]=>[6,2,4,3,5,1,7]=>000001 [7,1,5,3,4,6,2]=>[2,6,4,3,5,1,7]=>000001 [7,1,5,3,6,2,4]=>[4,2,6,3,5,1,7]=>000001 [7,1,5,3,6,4,2]=>[2,4,6,3,5,1,7]=>000001 [7,1,5,4,2,3,6]=>[6,3,2,4,5,1,7]=>000001 [7,1,5,4,2,6,3]=>[3,6,2,4,5,1,7]=>000001 [7,1,5,4,3,2,6]=>[6,2,3,4,5,1,7]=>000001 [7,1,5,4,3,6,2]=>[2,6,3,4,5,1,7]=>000001 [7,1,5,4,6,2,3]=>[3,2,6,4,5,1,7]=>000001 [7,1,5,4,6,3,2]=>[2,3,6,4,5,1,7]=>000001 [7,1,5,6,2,3,4]=>[4,3,2,6,5,1,7]=>000001 [7,1,5,6,2,4,3]=>[3,4,2,6,5,1,7]=>000001 [7,1,5,6,3,2,4]=>[4,2,3,6,5,1,7]=>000001 [7,1,5,6,3,4,2]=>[2,4,3,6,5,1,7]=>000001 [7,1,5,6,4,2,3]=>[3,2,4,6,5,1,7]=>000001 [7,1,5,6,4,3,2]=>[2,3,4,6,5,1,7]=>000001 [7,1,6,2,3,4,5]=>[5,4,3,2,6,1,7]=>000001 [7,1,6,2,3,5,4]=>[4,5,3,2,6,1,7]=>000001 [7,1,6,2,4,3,5]=>[5,3,4,2,6,1,7]=>000001 [7,1,6,2,4,5,3]=>[3,5,4,2,6,1,7]=>000001 [7,1,6,2,5,3,4]=>[4,3,5,2,6,1,7]=>000001 [7,1,6,2,5,4,3]=>[3,4,5,2,6,1,7]=>000001 [7,1,6,3,2,4,5]=>[5,4,2,3,6,1,7]=>000001 [7,1,6,3,2,5,4]=>[4,5,2,3,6,1,7]=>000001 [7,1,6,3,4,2,5]=>[5,2,4,3,6,1,7]=>000001 [7,1,6,3,4,5,2]=>[2,5,4,3,6,1,7]=>000001 [7,1,6,3,5,2,4]=>[4,2,5,3,6,1,7]=>000001 [7,1,6,3,5,4,2]=>[2,4,5,3,6,1,7]=>000001 [7,1,6,4,2,3,5]=>[5,3,2,4,6,1,7]=>000001 [7,1,6,4,2,5,3]=>[3,5,2,4,6,1,7]=>000001 [7,1,6,4,3,2,5]=>[5,2,3,4,6,1,7]=>000001 [7,1,6,4,3,5,2]=>[2,5,3,4,6,1,7]=>000001 [7,1,6,4,5,2,3]=>[3,2,5,4,6,1,7]=>000001 [7,1,6,4,5,3,2]=>[2,3,5,4,6,1,7]=>000001 [7,1,6,5,2,3,4]=>[4,3,2,5,6,1,7]=>000001 [7,1,6,5,2,4,3]=>[3,4,2,5,6,1,7]=>000001 [7,1,6,5,3,2,4]=>[4,2,3,5,6,1,7]=>000001 [7,1,6,5,3,4,2]=>[2,4,3,5,6,1,7]=>000001 [7,1,6,5,4,2,3]=>[3,2,4,5,6,1,7]=>000001 [7,1,6,5,4,3,2]=>[2,3,4,5,6,1,7]=>000001 [7,2,1,3,4,5,6]=>[6,5,4,3,1,2,7]=>000001 [7,2,1,3,4,6,5]=>[5,6,4,3,1,2,7]=>000001 [7,2,1,3,5,4,6]=>[6,4,5,3,1,2,7]=>000001 [7,2,1,3,5,6,4]=>[4,6,5,3,1,2,7]=>000001 [7,2,1,3,6,4,5]=>[5,4,6,3,1,2,7]=>000001 [7,2,1,3,6,5,4]=>[4,5,6,3,1,2,7]=>000001 [7,2,1,4,3,5,6]=>[6,5,3,4,1,2,7]=>000001 [7,2,1,4,3,6,5]=>[5,6,3,4,1,2,7]=>000001 [7,2,1,4,5,3,6]=>[6,3,5,4,1,2,7]=>000001 [7,2,1,4,5,6,3]=>[3,6,5,4,1,2,7]=>000001 [7,2,1,4,6,3,5]=>[5,3,6,4,1,2,7]=>000001 [7,2,1,4,6,5,3]=>[3,5,6,4,1,2,7]=>000001 [7,2,1,5,3,4,6]=>[6,4,3,5,1,2,7]=>000001 [7,2,1,5,3,6,4]=>[4,6,3,5,1,2,7]=>000001 [7,2,1,5,4,3,6]=>[6,3,4,5,1,2,7]=>000001 [7,2,1,5,4,6,3]=>[3,6,4,5,1,2,7]=>000001 [7,2,1,5,6,3,4]=>[4,3,6,5,1,2,7]=>000001 [7,2,1,5,6,4,3]=>[3,4,6,5,1,2,7]=>000001 [7,2,1,6,3,4,5]=>[5,4,3,6,1,2,7]=>000001 [7,2,1,6,3,5,4]=>[4,5,3,6,1,2,7]=>000001 [7,2,1,6,4,3,5]=>[5,3,4,6,1,2,7]=>000001 [7,2,1,6,4,5,3]=>[3,5,4,6,1,2,7]=>000001 [7,2,1,6,5,3,4]=>[4,3,5,6,1,2,7]=>000001 [7,2,1,6,5,4,3]=>[3,4,5,6,1,2,7]=>000001 [7,2,3,1,4,5,6]=>[6,5,4,1,3,2,7]=>000001 [7,2,3,1,4,6,5]=>[5,6,4,1,3,2,7]=>000001 [7,2,3,1,5,4,6]=>[6,4,5,1,3,2,7]=>000001 [7,2,3,1,5,6,4]=>[4,6,5,1,3,2,7]=>000001 [7,2,3,1,6,4,5]=>[5,4,6,1,3,2,7]=>000001 [7,2,3,1,6,5,4]=>[4,5,6,1,3,2,7]=>000001 [7,2,3,4,1,5,6]=>[6,5,1,4,3,2,7]=>000001 [7,2,3,4,1,6,5]=>[5,6,1,4,3,2,7]=>000001 [7,2,3,4,5,1,6]=>[6,1,5,4,3,2,7]=>000001 [7,2,3,4,5,6,1]=>[1,6,5,4,3,2,7]=>100001 [7,2,3,4,6,1,5]=>[5,1,6,4,3,2,7]=>000001 [7,2,3,4,6,5,1]=>[1,5,6,4,3,2,7]=>100001 [7,2,3,5,1,4,6]=>[6,4,1,5,3,2,7]=>000001 [7,2,3,5,1,6,4]=>[4,6,1,5,3,2,7]=>000001 [7,2,3,5,4,1,6]=>[6,1,4,5,3,2,7]=>000001 [7,2,3,5,4,6,1]=>[1,6,4,5,3,2,7]=>100001 [7,2,3,5,6,1,4]=>[4,1,6,5,3,2,7]=>000001 [7,2,3,5,6,4,1]=>[1,4,6,5,3,2,7]=>100001 [7,2,3,6,1,4,5]=>[5,4,1,6,3,2,7]=>000001 [7,2,3,6,1,5,4]=>[4,5,1,6,3,2,7]=>000001 [7,2,3,6,4,1,5]=>[5,1,4,6,3,2,7]=>000001 [7,2,3,6,4,5,1]=>[1,5,4,6,3,2,7]=>100001 [7,2,3,6,5,1,4]=>[4,1,5,6,3,2,7]=>000001 [7,2,3,6,5,4,1]=>[1,4,5,6,3,2,7]=>100001 [7,2,4,1,3,5,6]=>[6,5,3,1,4,2,7]=>000001 [7,2,4,1,3,6,5]=>[5,6,3,1,4,2,7]=>000001 [7,2,4,1,5,3,6]=>[6,3,5,1,4,2,7]=>000001 [7,2,4,1,5,6,3]=>[3,6,5,1,4,2,7]=>000001 [7,2,4,1,6,3,5]=>[5,3,6,1,4,2,7]=>000001 [7,2,4,1,6,5,3]=>[3,5,6,1,4,2,7]=>000001 [7,2,4,3,1,5,6]=>[6,5,1,3,4,2,7]=>000001 [7,2,4,3,1,6,5]=>[5,6,1,3,4,2,7]=>000001 [7,2,4,3,5,1,6]=>[6,1,5,3,4,2,7]=>000001 [7,2,4,3,5,6,1]=>[1,6,5,3,4,2,7]=>100001 [7,2,4,3,6,1,5]=>[5,1,6,3,4,2,7]=>000001 [7,2,4,3,6,5,1]=>[1,5,6,3,4,2,7]=>100001 [7,2,4,5,1,3,6]=>[6,3,1,5,4,2,7]=>000001 [7,2,4,5,1,6,3]=>[3,6,1,5,4,2,7]=>000001 [7,2,4,5,3,1,6]=>[6,1,3,5,4,2,7]=>000001 [7,2,4,5,3,6,1]=>[1,6,3,5,4,2,7]=>100001 [7,2,4,5,6,1,3]=>[3,1,6,5,4,2,7]=>000001 [7,2,4,5,6,3,1]=>[1,3,6,5,4,2,7]=>100001 [7,2,4,6,1,3,5]=>[5,3,1,6,4,2,7]=>000001 [7,2,4,6,1,5,3]=>[3,5,1,6,4,2,7]=>000001 [7,2,4,6,3,1,5]=>[5,1,3,6,4,2,7]=>000001 [7,2,4,6,3,5,1]=>[1,5,3,6,4,2,7]=>100001 [7,2,4,6,5,1,3]=>[3,1,5,6,4,2,7]=>000001 [7,2,4,6,5,3,1]=>[1,3,5,6,4,2,7]=>100001 [7,2,5,1,3,4,6]=>[6,4,3,1,5,2,7]=>000001 [7,2,5,1,3,6,4]=>[4,6,3,1,5,2,7]=>000001 [7,2,5,1,4,3,6]=>[6,3,4,1,5,2,7]=>000001 [7,2,5,1,4,6,3]=>[3,6,4,1,5,2,7]=>000001 [7,2,5,1,6,3,4]=>[4,3,6,1,5,2,7]=>000001 [7,2,5,1,6,4,3]=>[3,4,6,1,5,2,7]=>000001 [7,2,5,3,1,4,6]=>[6,4,1,3,5,2,7]=>000001 [7,2,5,3,1,6,4]=>[4,6,1,3,5,2,7]=>000001 [7,2,5,3,4,1,6]=>[6,1,4,3,5,2,7]=>000001 [7,2,5,3,4,6,1]=>[1,6,4,3,5,2,7]=>100001 [7,2,5,3,6,1,4]=>[4,1,6,3,5,2,7]=>000001 [7,2,5,3,6,4,1]=>[1,4,6,3,5,2,7]=>100001 [7,2,5,4,1,3,6]=>[6,3,1,4,5,2,7]=>000001 [7,2,5,4,1,6,3]=>[3,6,1,4,5,2,7]=>000001 [7,2,5,4,3,1,6]=>[6,1,3,4,5,2,7]=>000001 [7,2,5,4,3,6,1]=>[1,6,3,4,5,2,7]=>100001 [7,2,5,4,6,1,3]=>[3,1,6,4,5,2,7]=>000001 [7,2,5,4,6,3,1]=>[1,3,6,4,5,2,7]=>100001 [7,2,5,6,1,3,4]=>[4,3,1,6,5,2,7]=>000001 [7,2,5,6,1,4,3]=>[3,4,1,6,5,2,7]=>000001 [7,2,5,6,3,1,4]=>[4,1,3,6,5,2,7]=>000001 [7,2,5,6,3,4,1]=>[1,4,3,6,5,2,7]=>100001 [7,2,5,6,4,1,3]=>[3,1,4,6,5,2,7]=>000001 [7,2,5,6,4,3,1]=>[1,3,4,6,5,2,7]=>100001 [7,2,6,1,3,4,5]=>[5,4,3,1,6,2,7]=>000001 [7,2,6,1,3,5,4]=>[4,5,3,1,6,2,7]=>000001 [7,2,6,1,4,3,5]=>[5,3,4,1,6,2,7]=>000001 [7,2,6,1,4,5,3]=>[3,5,4,1,6,2,7]=>000001 [7,2,6,1,5,3,4]=>[4,3,5,1,6,2,7]=>000001 [7,2,6,1,5,4,3]=>[3,4,5,1,6,2,7]=>000001 [7,2,6,3,1,4,5]=>[5,4,1,3,6,2,7]=>000001 [7,2,6,3,1,5,4]=>[4,5,1,3,6,2,7]=>000001 [7,2,6,3,4,1,5]=>[5,1,4,3,6,2,7]=>000001 [7,2,6,3,4,5,1]=>[1,5,4,3,6,2,7]=>100001 [7,2,6,3,5,1,4]=>[4,1,5,3,6,2,7]=>000001 [7,2,6,3,5,4,1]=>[1,4,5,3,6,2,7]=>100001 [7,2,6,4,1,3,5]=>[5,3,1,4,6,2,7]=>000001 [7,2,6,4,1,5,3]=>[3,5,1,4,6,2,7]=>000001 [7,2,6,4,3,1,5]=>[5,1,3,4,6,2,7]=>000001 [7,2,6,4,3,5,1]=>[1,5,3,4,6,2,7]=>100001 [7,2,6,4,5,1,3]=>[3,1,5,4,6,2,7]=>000001 [7,2,6,4,5,3,1]=>[1,3,5,4,6,2,7]=>100001 [7,2,6,5,1,3,4]=>[4,3,1,5,6,2,7]=>000001 [7,2,6,5,1,4,3]=>[3,4,1,5,6,2,7]=>000001 [7,2,6,5,3,1,4]=>[4,1,3,5,6,2,7]=>000001 [7,2,6,5,3,4,1]=>[1,4,3,5,6,2,7]=>100001 [7,2,6,5,4,1,3]=>[3,1,4,5,6,2,7]=>000001 [7,2,6,5,4,3,1]=>[1,3,4,5,6,2,7]=>100001 [7,3,1,2,4,5,6]=>[6,5,4,2,1,3,7]=>000001 [7,3,1,2,4,6,5]=>[5,6,4,2,1,3,7]=>000001 [7,3,1,2,5,4,6]=>[6,4,5,2,1,3,7]=>000001 [7,3,1,2,5,6,4]=>[4,6,5,2,1,3,7]=>000001 [7,3,1,2,6,4,5]=>[5,4,6,2,1,3,7]=>000001 [7,3,1,2,6,5,4]=>[4,5,6,2,1,3,7]=>000001 [7,3,1,4,2,5,6]=>[6,5,2,4,1,3,7]=>000001 [7,3,1,4,2,6,5]=>[5,6,2,4,1,3,7]=>000001 [7,3,1,4,5,2,6]=>[6,2,5,4,1,3,7]=>000001 [7,3,1,4,5,6,2]=>[2,6,5,4,1,3,7]=>000001 [7,3,1,4,6,2,5]=>[5,2,6,4,1,3,7]=>000001 [7,3,1,4,6,5,2]=>[2,5,6,4,1,3,7]=>000001 [7,3,1,5,2,4,6]=>[6,4,2,5,1,3,7]=>000001 [7,3,1,5,2,6,4]=>[4,6,2,5,1,3,7]=>000001 [7,3,1,5,4,2,6]=>[6,2,4,5,1,3,7]=>000001 [7,3,1,5,4,6,2]=>[2,6,4,5,1,3,7]=>000001 [7,3,1,5,6,2,4]=>[4,2,6,5,1,3,7]=>000001 [7,3,1,5,6,4,2]=>[2,4,6,5,1,3,7]=>000001 [7,3,1,6,2,4,5]=>[5,4,2,6,1,3,7]=>000001 [7,3,1,6,2,5,4]=>[4,5,2,6,1,3,7]=>000001 [7,3,1,6,4,2,5]=>[5,2,4,6,1,3,7]=>000001 [7,3,1,6,4,5,2]=>[2,5,4,6,1,3,7]=>000001 [7,3,1,6,5,2,4]=>[4,2,5,6,1,3,7]=>000001 [7,3,1,6,5,4,2]=>[2,4,5,6,1,3,7]=>000001 [7,3,2,1,4,5,6]=>[6,5,4,1,2,3,7]=>000001 [7,3,2,1,4,6,5]=>[5,6,4,1,2,3,7]=>000001 [7,3,2,1,5,4,6]=>[6,4,5,1,2,3,7]=>000001 [7,3,2,1,5,6,4]=>[4,6,5,1,2,3,7]=>000001 [7,3,2,1,6,4,5]=>[5,4,6,1,2,3,7]=>000001 [7,3,2,1,6,5,4]=>[4,5,6,1,2,3,7]=>000001 [7,3,2,4,1,5,6]=>[6,5,1,4,2,3,7]=>000001 [7,3,2,4,1,6,5]=>[5,6,1,4,2,3,7]=>000001 [7,3,2,4,5,1,6]=>[6,1,5,4,2,3,7]=>000001 [7,3,2,4,5,6,1]=>[1,6,5,4,2,3,7]=>100001 [7,3,2,4,6,1,5]=>[5,1,6,4,2,3,7]=>000001 [7,3,2,4,6,5,1]=>[1,5,6,4,2,3,7]=>100001 [7,3,2,5,1,4,6]=>[6,4,1,5,2,3,7]=>000001 [7,3,2,5,1,6,4]=>[4,6,1,5,2,3,7]=>000001 [7,3,2,5,4,1,6]=>[6,1,4,5,2,3,7]=>000001 [7,3,2,5,4,6,1]=>[1,6,4,5,2,3,7]=>100001 [7,3,2,5,6,1,4]=>[4,1,6,5,2,3,7]=>000001 [7,3,2,5,6,4,1]=>[1,4,6,5,2,3,7]=>100001 [7,3,2,6,1,4,5]=>[5,4,1,6,2,3,7]=>000001 [7,3,2,6,1,5,4]=>[4,5,1,6,2,3,7]=>000001 [7,3,2,6,4,1,5]=>[5,1,4,6,2,3,7]=>000001 [7,3,2,6,4,5,1]=>[1,5,4,6,2,3,7]=>100001 [7,3,2,6,5,1,4]=>[4,1,5,6,2,3,7]=>000001 [7,3,2,6,5,4,1]=>[1,4,5,6,2,3,7]=>100001 [7,3,4,1,2,5,6]=>[6,5,2,1,4,3,7]=>000001 [7,3,4,1,2,6,5]=>[5,6,2,1,4,3,7]=>000001 [7,3,4,1,5,2,6]=>[6,2,5,1,4,3,7]=>000001 [7,3,4,1,5,6,2]=>[2,6,5,1,4,3,7]=>000001 [7,3,4,1,6,2,5]=>[5,2,6,1,4,3,7]=>000001 [7,3,4,1,6,5,2]=>[2,5,6,1,4,3,7]=>000001 [7,3,4,2,1,5,6]=>[6,5,1,2,4,3,7]=>000001 [7,3,4,2,1,6,5]=>[5,6,1,2,4,3,7]=>000001 [7,3,4,2,5,1,6]=>[6,1,5,2,4,3,7]=>000001 [7,3,4,2,5,6,1]=>[1,6,5,2,4,3,7]=>100001 [7,3,4,2,6,1,5]=>[5,1,6,2,4,3,7]=>000001 [7,3,4,2,6,5,1]=>[1,5,6,2,4,3,7]=>100001 [7,3,4,5,1,2,6]=>[6,2,1,5,4,3,7]=>000001 [7,3,4,5,1,6,2]=>[2,6,1,5,4,3,7]=>000001 [7,3,4,5,2,1,6]=>[6,1,2,5,4,3,7]=>000001 [7,3,4,5,2,6,1]=>[1,6,2,5,4,3,7]=>100001 [7,3,4,5,6,1,2]=>[2,1,6,5,4,3,7]=>010001 [7,3,4,5,6,2,1]=>[1,2,6,5,4,3,7]=>110001 [7,3,4,6,1,2,5]=>[5,2,1,6,4,3,7]=>000001 [7,3,4,6,1,5,2]=>[2,5,1,6,4,3,7]=>000001 [7,3,4,6,2,1,5]=>[5,1,2,6,4,3,7]=>000001 [7,3,4,6,2,5,1]=>[1,5,2,6,4,3,7]=>100001 [7,3,4,6,5,1,2]=>[2,1,5,6,4,3,7]=>010001 [7,3,4,6,5,2,1]=>[1,2,5,6,4,3,7]=>110001 [7,3,5,1,2,4,6]=>[6,4,2,1,5,3,7]=>000001 [7,3,5,1,2,6,4]=>[4,6,2,1,5,3,7]=>000001 [7,3,5,1,4,2,6]=>[6,2,4,1,5,3,7]=>000001 [7,3,5,1,4,6,2]=>[2,6,4,1,5,3,7]=>000001 [7,3,5,1,6,2,4]=>[4,2,6,1,5,3,7]=>000001 [7,3,5,1,6,4,2]=>[2,4,6,1,5,3,7]=>000001 [7,3,5,2,1,4,6]=>[6,4,1,2,5,3,7]=>000001 [7,3,5,2,1,6,4]=>[4,6,1,2,5,3,7]=>000001 [7,3,5,2,4,1,6]=>[6,1,4,2,5,3,7]=>000001 [7,3,5,2,4,6,1]=>[1,6,4,2,5,3,7]=>100001 [7,3,5,2,6,1,4]=>[4,1,6,2,5,3,7]=>000001 [7,3,5,2,6,4,1]=>[1,4,6,2,5,3,7]=>100001 [7,3,5,4,1,2,6]=>[6,2,1,4,5,3,7]=>000001 [7,3,5,4,1,6,2]=>[2,6,1,4,5,3,7]=>000001 [7,3,5,4,2,1,6]=>[6,1,2,4,5,3,7]=>000001 [7,3,5,4,2,6,1]=>[1,6,2,4,5,3,7]=>100001 [7,3,5,4,6,1,2]=>[2,1,6,4,5,3,7]=>010001 [7,3,5,4,6,2,1]=>[1,2,6,4,5,3,7]=>110001 [7,3,5,6,1,2,4]=>[4,2,1,6,5,3,7]=>000001 [7,3,5,6,1,4,2]=>[2,4,1,6,5,3,7]=>000001 [7,3,5,6,2,1,4]=>[4,1,2,6,5,3,7]=>000001 [7,3,5,6,2,4,1]=>[1,4,2,6,5,3,7]=>100001 [7,3,5,6,4,1,2]=>[2,1,4,6,5,3,7]=>010001 [7,3,5,6,4,2,1]=>[1,2,4,6,5,3,7]=>110001 [7,3,6,1,2,4,5]=>[5,4,2,1,6,3,7]=>000001 [7,3,6,1,2,5,4]=>[4,5,2,1,6,3,7]=>000001 [7,3,6,1,4,2,5]=>[5,2,4,1,6,3,7]=>000001 [7,3,6,1,4,5,2]=>[2,5,4,1,6,3,7]=>000001 [7,3,6,1,5,2,4]=>[4,2,5,1,6,3,7]=>000001 [7,3,6,1,5,4,2]=>[2,4,5,1,6,3,7]=>000001 [7,3,6,2,1,4,5]=>[5,4,1,2,6,3,7]=>000001 [7,3,6,2,1,5,4]=>[4,5,1,2,6,3,7]=>000001 [7,3,6,2,4,1,5]=>[5,1,4,2,6,3,7]=>000001 [7,3,6,2,4,5,1]=>[1,5,4,2,6,3,7]=>100001 [7,3,6,2,5,1,4]=>[4,1,5,2,6,3,7]=>000001 [7,3,6,2,5,4,1]=>[1,4,5,2,6,3,7]=>100001 [7,3,6,4,1,2,5]=>[5,2,1,4,6,3,7]=>000001 [7,3,6,4,1,5,2]=>[2,5,1,4,6,3,7]=>000001 [7,3,6,4,2,1,5]=>[5,1,2,4,6,3,7]=>000001 [7,3,6,4,2,5,1]=>[1,5,2,4,6,3,7]=>100001 [7,3,6,4,5,1,2]=>[2,1,5,4,6,3,7]=>010001 [7,3,6,4,5,2,1]=>[1,2,5,4,6,3,7]=>110001 [7,3,6,5,1,2,4]=>[4,2,1,5,6,3,7]=>000001 [7,3,6,5,1,4,2]=>[2,4,1,5,6,3,7]=>000001 [7,3,6,5,2,1,4]=>[4,1,2,5,6,3,7]=>000001 [7,3,6,5,2,4,1]=>[1,4,2,5,6,3,7]=>100001 [7,3,6,5,4,1,2]=>[2,1,4,5,6,3,7]=>010001 [7,3,6,5,4,2,1]=>[1,2,4,5,6,3,7]=>110001 [7,4,1,2,3,5,6]=>[6,5,3,2,1,4,7]=>000001 [7,4,1,2,3,6,5]=>[5,6,3,2,1,4,7]=>000001 [7,4,1,2,5,3,6]=>[6,3,5,2,1,4,7]=>000001 [7,4,1,2,5,6,3]=>[3,6,5,2,1,4,7]=>000001 [7,4,1,2,6,3,5]=>[5,3,6,2,1,4,7]=>000001 [7,4,1,2,6,5,3]=>[3,5,6,2,1,4,7]=>000001 [7,4,1,3,2,5,6]=>[6,5,2,3,1,4,7]=>000001 [7,4,1,3,2,6,5]=>[5,6,2,3,1,4,7]=>000001 [7,4,1,3,5,2,6]=>[6,2,5,3,1,4,7]=>000001 [7,4,1,3,5,6,2]=>[2,6,5,3,1,4,7]=>000001 [7,4,1,3,6,2,5]=>[5,2,6,3,1,4,7]=>000001 [7,4,1,3,6,5,2]=>[2,5,6,3,1,4,7]=>000001 [7,4,1,5,2,3,6]=>[6,3,2,5,1,4,7]=>000001 [7,4,1,5,2,6,3]=>[3,6,2,5,1,4,7]=>000001 [7,4,1,5,3,2,6]=>[6,2,3,5,1,4,7]=>000001 [7,4,1,5,3,6,2]=>[2,6,3,5,1,4,7]=>000001 [7,4,1,5,6,2,3]=>[3,2,6,5,1,4,7]=>000001 [7,4,1,5,6,3,2]=>[2,3,6,5,1,4,7]=>000001 [7,4,1,6,2,3,5]=>[5,3,2,6,1,4,7]=>000001 [7,4,1,6,2,5,3]=>[3,5,2,6,1,4,7]=>000001 [7,4,1,6,3,2,5]=>[5,2,3,6,1,4,7]=>000001 [7,4,1,6,3,5,2]=>[2,5,3,6,1,4,7]=>000001 [7,4,1,6,5,2,3]=>[3,2,5,6,1,4,7]=>000001 [7,4,1,6,5,3,2]=>[2,3,5,6,1,4,7]=>000001 [7,4,2,1,3,5,6]=>[6,5,3,1,2,4,7]=>000001 [7,4,2,1,3,6,5]=>[5,6,3,1,2,4,7]=>000001 [7,4,2,1,5,3,6]=>[6,3,5,1,2,4,7]=>000001 [7,4,2,1,5,6,3]=>[3,6,5,1,2,4,7]=>000001 [7,4,2,1,6,3,5]=>[5,3,6,1,2,4,7]=>000001 [7,4,2,1,6,5,3]=>[3,5,6,1,2,4,7]=>000001 [7,4,2,3,1,5,6]=>[6,5,1,3,2,4,7]=>000001 [7,4,2,3,1,6,5]=>[5,6,1,3,2,4,7]=>000001 [7,4,2,3,5,1,6]=>[6,1,5,3,2,4,7]=>000001 [7,4,2,3,5,6,1]=>[1,6,5,3,2,4,7]=>100001 [7,4,2,3,6,1,5]=>[5,1,6,3,2,4,7]=>000001 [7,4,2,3,6,5,1]=>[1,5,6,3,2,4,7]=>100001 [7,4,2,5,1,3,6]=>[6,3,1,5,2,4,7]=>000001 [7,4,2,5,1,6,3]=>[3,6,1,5,2,4,7]=>000001 [7,4,2,5,3,1,6]=>[6,1,3,5,2,4,7]=>000001 [7,4,2,5,3,6,1]=>[1,6,3,5,2,4,7]=>100001 [7,4,2,5,6,1,3]=>[3,1,6,5,2,4,7]=>000001 [7,4,2,5,6,3,1]=>[1,3,6,5,2,4,7]=>100001 [7,4,2,6,1,3,5]=>[5,3,1,6,2,4,7]=>000001 [7,4,2,6,1,5,3]=>[3,5,1,6,2,4,7]=>000001 [7,4,2,6,3,1,5]=>[5,1,3,6,2,4,7]=>000001 [7,4,2,6,3,5,1]=>[1,5,3,6,2,4,7]=>100001 [7,4,2,6,5,1,3]=>[3,1,5,6,2,4,7]=>000001 [7,4,2,6,5,3,1]=>[1,3,5,6,2,4,7]=>100001 [7,4,3,1,2,5,6]=>[6,5,2,1,3,4,7]=>000001 [7,4,3,1,2,6,5]=>[5,6,2,1,3,4,7]=>000001 [7,4,3,1,5,2,6]=>[6,2,5,1,3,4,7]=>000001 [7,4,3,1,5,6,2]=>[2,6,5,1,3,4,7]=>000001 [7,4,3,1,6,2,5]=>[5,2,6,1,3,4,7]=>000001 [7,4,3,1,6,5,2]=>[2,5,6,1,3,4,7]=>000001 [7,4,3,2,1,5,6]=>[6,5,1,2,3,4,7]=>000001 [7,4,3,2,1,6,5]=>[5,6,1,2,3,4,7]=>000001 [7,4,3,2,5,1,6]=>[6,1,5,2,3,4,7]=>000001 [7,4,3,2,5,6,1]=>[1,6,5,2,3,4,7]=>100001 [7,4,3,2,6,1,5]=>[5,1,6,2,3,4,7]=>000001 [7,4,3,2,6,5,1]=>[1,5,6,2,3,4,7]=>100001 [7,4,3,5,1,2,6]=>[6,2,1,5,3,4,7]=>000001 [7,4,3,5,1,6,2]=>[2,6,1,5,3,4,7]=>000001 [7,4,3,5,2,1,6]=>[6,1,2,5,3,4,7]=>000001 [7,4,3,5,2,6,1]=>[1,6,2,5,3,4,7]=>100001 [7,4,3,5,6,1,2]=>[2,1,6,5,3,4,7]=>010001 [7,4,3,5,6,2,1]=>[1,2,6,5,3,4,7]=>110001 [7,4,3,6,1,2,5]=>[5,2,1,6,3,4,7]=>000001 [7,4,3,6,1,5,2]=>[2,5,1,6,3,4,7]=>000001 [7,4,3,6,2,1,5]=>[5,1,2,6,3,4,7]=>000001 [7,4,3,6,2,5,1]=>[1,5,2,6,3,4,7]=>100001 [7,4,3,6,5,1,2]=>[2,1,5,6,3,4,7]=>010001 [7,4,3,6,5,2,1]=>[1,2,5,6,3,4,7]=>110001 [7,4,5,1,2,3,6]=>[6,3,2,1,5,4,7]=>000001 [7,4,5,1,2,6,3]=>[3,6,2,1,5,4,7]=>000001 [7,4,5,1,3,2,6]=>[6,2,3,1,5,4,7]=>000001 [7,4,5,1,3,6,2]=>[2,6,3,1,5,4,7]=>000001 [7,4,5,1,6,2,3]=>[3,2,6,1,5,4,7]=>000001 [7,4,5,1,6,3,2]=>[2,3,6,1,5,4,7]=>000001 [7,4,5,2,1,3,6]=>[6,3,1,2,5,4,7]=>000001 [7,4,5,2,1,6,3]=>[3,6,1,2,5,4,7]=>000001 [7,4,5,2,3,1,6]=>[6,1,3,2,5,4,7]=>000001 [7,4,5,2,3,6,1]=>[1,6,3,2,5,4,7]=>100001 [7,4,5,2,6,1,3]=>[3,1,6,2,5,4,7]=>000001 [7,4,5,2,6,3,1]=>[1,3,6,2,5,4,7]=>100001 [7,4,5,3,1,2,6]=>[6,2,1,3,5,4,7]=>000001 [7,4,5,3,1,6,2]=>[2,6,1,3,5,4,7]=>000001 [7,4,5,3,2,1,6]=>[6,1,2,3,5,4,7]=>000001 [7,4,5,3,2,6,1]=>[1,6,2,3,5,4,7]=>100001 [7,4,5,3,6,1,2]=>[2,1,6,3,5,4,7]=>010001 [7,4,5,3,6,2,1]=>[1,2,6,3,5,4,7]=>110001 [7,4,5,6,1,2,3]=>[3,2,1,6,5,4,7]=>001001 [7,4,5,6,1,3,2]=>[2,3,1,6,5,4,7]=>001001 [7,4,5,6,2,1,3]=>[3,1,2,6,5,4,7]=>001001 [7,4,5,6,2,3,1]=>[1,3,2,6,5,4,7]=>101001 [7,4,5,6,3,1,2]=>[2,1,3,6,5,4,7]=>011001 [7,4,5,6,3,2,1]=>[1,2,3,6,5,4,7]=>111001 [7,4,6,1,2,3,5]=>[5,3,2,1,6,4,7]=>000001 [7,4,6,1,2,5,3]=>[3,5,2,1,6,4,7]=>000001 [7,4,6,1,3,2,5]=>[5,2,3,1,6,4,7]=>000001 [7,4,6,1,3,5,2]=>[2,5,3,1,6,4,7]=>000001 [7,4,6,1,5,2,3]=>[3,2,5,1,6,4,7]=>000001 [7,4,6,1,5,3,2]=>[2,3,5,1,6,4,7]=>000001 [7,4,6,2,1,3,5]=>[5,3,1,2,6,4,7]=>000001 [7,4,6,2,1,5,3]=>[3,5,1,2,6,4,7]=>000001 [7,4,6,2,3,1,5]=>[5,1,3,2,6,4,7]=>000001 [7,4,6,2,3,5,1]=>[1,5,3,2,6,4,7]=>100001 [7,4,6,2,5,1,3]=>[3,1,5,2,6,4,7]=>000001 [7,4,6,2,5,3,1]=>[1,3,5,2,6,4,7]=>100001 [7,4,6,3,1,2,5]=>[5,2,1,3,6,4,7]=>000001 [7,4,6,3,1,5,2]=>[2,5,1,3,6,4,7]=>000001 [7,4,6,3,2,1,5]=>[5,1,2,3,6,4,7]=>000001 [7,4,6,3,2,5,1]=>[1,5,2,3,6,4,7]=>100001 [7,4,6,3,5,1,2]=>[2,1,5,3,6,4,7]=>010001 [7,4,6,3,5,2,1]=>[1,2,5,3,6,4,7]=>110001 [7,4,6,5,1,2,3]=>[3,2,1,5,6,4,7]=>001001 [7,4,6,5,1,3,2]=>[2,3,1,5,6,4,7]=>001001 [7,4,6,5,2,1,3]=>[3,1,2,5,6,4,7]=>001001 [7,4,6,5,2,3,1]=>[1,3,2,5,6,4,7]=>101001 [7,4,6,5,3,1,2]=>[2,1,3,5,6,4,7]=>011001 [7,4,6,5,3,2,1]=>[1,2,3,5,6,4,7]=>111001 [7,5,1,2,3,4,6]=>[6,4,3,2,1,5,7]=>000001 [7,5,1,2,3,6,4]=>[4,6,3,2,1,5,7]=>000001 [7,5,1,2,4,3,6]=>[6,3,4,2,1,5,7]=>000001 [7,5,1,2,4,6,3]=>[3,6,4,2,1,5,7]=>000001 [7,5,1,2,6,3,4]=>[4,3,6,2,1,5,7]=>000001 [7,5,1,2,6,4,3]=>[3,4,6,2,1,5,7]=>000001 [7,5,1,3,2,4,6]=>[6,4,2,3,1,5,7]=>000001 [7,5,1,3,2,6,4]=>[4,6,2,3,1,5,7]=>000001 [7,5,1,3,4,2,6]=>[6,2,4,3,1,5,7]=>000001 [7,5,1,3,4,6,2]=>[2,6,4,3,1,5,7]=>000001 [7,5,1,3,6,2,4]=>[4,2,6,3,1,5,7]=>000001 [7,5,1,3,6,4,2]=>[2,4,6,3,1,5,7]=>000001 [7,5,1,4,2,3,6]=>[6,3,2,4,1,5,7]=>000001 [7,5,1,4,2,6,3]=>[3,6,2,4,1,5,7]=>000001 [7,5,1,4,3,2,6]=>[6,2,3,4,1,5,7]=>000001 [7,5,1,4,3,6,2]=>[2,6,3,4,1,5,7]=>000001 [7,5,1,4,6,2,3]=>[3,2,6,4,1,5,7]=>000001 [7,5,1,4,6,3,2]=>[2,3,6,4,1,5,7]=>000001 [7,5,1,6,2,3,4]=>[4,3,2,6,1,5,7]=>000001 [7,5,1,6,2,4,3]=>[3,4,2,6,1,5,7]=>000001 [7,5,1,6,3,2,4]=>[4,2,3,6,1,5,7]=>000001 [7,5,1,6,3,4,2]=>[2,4,3,6,1,5,7]=>000001 [7,5,1,6,4,2,3]=>[3,2,4,6,1,5,7]=>000001 [7,5,1,6,4,3,2]=>[2,3,4,6,1,5,7]=>000001 [7,5,2,1,3,4,6]=>[6,4,3,1,2,5,7]=>000001 [7,5,2,1,3,6,4]=>[4,6,3,1,2,5,7]=>000001 [7,5,2,1,4,3,6]=>[6,3,4,1,2,5,7]=>000001 [7,5,2,1,4,6,3]=>[3,6,4,1,2,5,7]=>000001 [7,5,2,1,6,3,4]=>[4,3,6,1,2,5,7]=>000001 [7,5,2,1,6,4,3]=>[3,4,6,1,2,5,7]=>000001 [7,5,2,3,1,4,6]=>[6,4,1,3,2,5,7]=>000001 [7,5,2,3,1,6,4]=>[4,6,1,3,2,5,7]=>000001 [7,5,2,3,4,1,6]=>[6,1,4,3,2,5,7]=>000001 [7,5,2,3,4,6,1]=>[1,6,4,3,2,5,7]=>100001 [7,5,2,3,6,1,4]=>[4,1,6,3,2,5,7]=>000001 [7,5,2,3,6,4,1]=>[1,4,6,3,2,5,7]=>100001 [7,5,2,4,1,3,6]=>[6,3,1,4,2,5,7]=>000001 [7,5,2,4,1,6,3]=>[3,6,1,4,2,5,7]=>000001 [7,5,2,4,3,1,6]=>[6,1,3,4,2,5,7]=>000001 [7,5,2,4,3,6,1]=>[1,6,3,4,2,5,7]=>100001 [7,5,2,4,6,1,3]=>[3,1,6,4,2,5,7]=>000001 [7,5,2,4,6,3,1]=>[1,3,6,4,2,5,7]=>100001 [7,5,2,6,1,3,4]=>[4,3,1,6,2,5,7]=>000001 [7,5,2,6,1,4,3]=>[3,4,1,6,2,5,7]=>000001 [7,5,2,6,3,1,4]=>[4,1,3,6,2,5,7]=>000001 [7,5,2,6,3,4,1]=>[1,4,3,6,2,5,7]=>100001 [7,5,2,6,4,1,3]=>[3,1,4,6,2,5,7]=>000001 [7,5,2,6,4,3,1]=>[1,3,4,6,2,5,7]=>100001 [7,5,3,1,2,4,6]=>[6,4,2,1,3,5,7]=>000001 [7,5,3,1,2,6,4]=>[4,6,2,1,3,5,7]=>000001 [7,5,3,1,4,2,6]=>[6,2,4,1,3,5,7]=>000001 [7,5,3,1,4,6,2]=>[2,6,4,1,3,5,7]=>000001 [7,5,3,1,6,2,4]=>[4,2,6,1,3,5,7]=>000001 [7,5,3,1,6,4,2]=>[2,4,6,1,3,5,7]=>000001 [7,5,3,2,1,4,6]=>[6,4,1,2,3,5,7]=>000001 [7,5,3,2,1,6,4]=>[4,6,1,2,3,5,7]=>000001 [7,5,3,2,4,1,6]=>[6,1,4,2,3,5,7]=>000001 [7,5,3,2,4,6,1]=>[1,6,4,2,3,5,7]=>100001 [7,5,3,2,6,1,4]=>[4,1,6,2,3,5,7]=>000001 [7,5,3,2,6,4,1]=>[1,4,6,2,3,5,7]=>100001 [7,5,3,4,1,2,6]=>[6,2,1,4,3,5,7]=>000001 [7,5,3,4,1,6,2]=>[2,6,1,4,3,5,7]=>000001 [7,5,3,4,2,1,6]=>[6,1,2,4,3,5,7]=>000001 [7,5,3,4,2,6,1]=>[1,6,2,4,3,5,7]=>100001 [7,5,3,4,6,1,2]=>[2,1,6,4,3,5,7]=>010001 [7,5,3,4,6,2,1]=>[1,2,6,4,3,5,7]=>110001 [7,5,3,6,1,2,4]=>[4,2,1,6,3,5,7]=>000001 [7,5,3,6,1,4,2]=>[2,4,1,6,3,5,7]=>000001 [7,5,3,6,2,1,4]=>[4,1,2,6,3,5,7]=>000001 [7,5,3,6,2,4,1]=>[1,4,2,6,3,5,7]=>100001 [7,5,3,6,4,1,2]=>[2,1,4,6,3,5,7]=>010001 [7,5,3,6,4,2,1]=>[1,2,4,6,3,5,7]=>110001 [7,5,4,1,2,3,6]=>[6,3,2,1,4,5,7]=>000001 [7,5,4,1,2,6,3]=>[3,6,2,1,4,5,7]=>000001 [7,5,4,1,3,2,6]=>[6,2,3,1,4,5,7]=>000001 [7,5,4,1,3,6,2]=>[2,6,3,1,4,5,7]=>000001 [7,5,4,1,6,2,3]=>[3,2,6,1,4,5,7]=>000001 [7,5,4,1,6,3,2]=>[2,3,6,1,4,5,7]=>000001 [7,5,4,2,1,3,6]=>[6,3,1,2,4,5,7]=>000001 [7,5,4,2,1,6,3]=>[3,6,1,2,4,5,7]=>000001 [7,5,4,2,3,1,6]=>[6,1,3,2,4,5,7]=>000001 [7,5,4,2,3,6,1]=>[1,6,3,2,4,5,7]=>100001 [7,5,4,2,6,1,3]=>[3,1,6,2,4,5,7]=>000001 [7,5,4,2,6,3,1]=>[1,3,6,2,4,5,7]=>100001 [7,5,4,3,1,2,6]=>[6,2,1,3,4,5,7]=>000001 [7,5,4,3,1,6,2]=>[2,6,1,3,4,5,7]=>000001 [7,5,4,3,2,1,6]=>[6,1,2,3,4,5,7]=>000001 [7,5,4,3,2,6,1]=>[1,6,2,3,4,5,7]=>100001 [7,5,4,3,6,1,2]=>[2,1,6,3,4,5,7]=>010001 [7,5,4,3,6,2,1]=>[1,2,6,3,4,5,7]=>110001 [7,5,4,6,1,2,3]=>[3,2,1,6,4,5,7]=>001001 [7,5,4,6,1,3,2]=>[2,3,1,6,4,5,7]=>001001 [7,5,4,6,2,1,3]=>[3,1,2,6,4,5,7]=>001001 [7,5,4,6,2,3,1]=>[1,3,2,6,4,5,7]=>101001 [7,5,4,6,3,1,2]=>[2,1,3,6,4,5,7]=>011001 [7,5,4,6,3,2,1]=>[1,2,3,6,4,5,7]=>111001 [7,5,6,1,2,3,4]=>[4,3,2,1,6,5,7]=>000101 [7,5,6,1,2,4,3]=>[3,4,2,1,6,5,7]=>000101 [7,5,6,1,3,2,4]=>[4,2,3,1,6,5,7]=>000101 [7,5,6,1,3,4,2]=>[2,4,3,1,6,5,7]=>000101 [7,5,6,1,4,2,3]=>[3,2,4,1,6,5,7]=>000101 [7,5,6,1,4,3,2]=>[2,3,4,1,6,5,7]=>000101 [7,5,6,2,1,3,4]=>[4,3,1,2,6,5,7]=>000101 [7,5,6,2,1,4,3]=>[3,4,1,2,6,5,7]=>000101 [7,5,6,2,3,1,4]=>[4,1,3,2,6,5,7]=>000101 [7,5,6,2,3,4,1]=>[1,4,3,2,6,5,7]=>100101 [7,5,6,2,4,1,3]=>[3,1,4,2,6,5,7]=>000101 [7,5,6,2,4,3,1]=>[1,3,4,2,6,5,7]=>100101 [7,5,6,3,1,2,4]=>[4,2,1,3,6,5,7]=>000101 [7,5,6,3,1,4,2]=>[2,4,1,3,6,5,7]=>000101 [7,5,6,3,2,1,4]=>[4,1,2,3,6,5,7]=>000101 [7,5,6,3,2,4,1]=>[1,4,2,3,6,5,7]=>100101 [7,5,6,3,4,1,2]=>[2,1,4,3,6,5,7]=>010101 [7,5,6,3,4,2,1]=>[1,2,4,3,6,5,7]=>110101 [7,5,6,4,1,2,3]=>[3,2,1,4,6,5,7]=>001101 [7,5,6,4,1,3,2]=>[2,3,1,4,6,5,7]=>001101 [7,5,6,4,2,1,3]=>[3,1,2,4,6,5,7]=>001101 [7,5,6,4,2,3,1]=>[1,3,2,4,6,5,7]=>101101 [7,5,6,4,3,1,2]=>[2,1,3,4,6,5,7]=>011101 [7,5,6,4,3,2,1]=>[1,2,3,4,6,5,7]=>111101 [7,6,1,2,3,4,5]=>[5,4,3,2,1,6,7]=>000011 [7,6,1,2,3,5,4]=>[4,5,3,2,1,6,7]=>000011 [7,6,1,2,4,3,5]=>[5,3,4,2,1,6,7]=>000011 [7,6,1,2,4,5,3]=>[3,5,4,2,1,6,7]=>000011 [7,6,1,2,5,3,4]=>[4,3,5,2,1,6,7]=>000011 [7,6,1,2,5,4,3]=>[3,4,5,2,1,6,7]=>000011 [7,6,1,3,2,4,5]=>[5,4,2,3,1,6,7]=>000011 [7,6,1,3,2,5,4]=>[4,5,2,3,1,6,7]=>000011 [7,6,1,3,4,2,5]=>[5,2,4,3,1,6,7]=>000011 [7,6,1,3,4,5,2]=>[2,5,4,3,1,6,7]=>000011 [7,6,1,3,5,2,4]=>[4,2,5,3,1,6,7]=>000011 [7,6,1,3,5,4,2]=>[2,4,5,3,1,6,7]=>000011 [7,6,1,4,2,3,5]=>[5,3,2,4,1,6,7]=>000011 [7,6,1,4,2,5,3]=>[3,5,2,4,1,6,7]=>000011 [7,6,1,4,3,2,5]=>[5,2,3,4,1,6,7]=>000011 [7,6,1,4,3,5,2]=>[2,5,3,4,1,6,7]=>000011 [7,6,1,4,5,2,3]=>[3,2,5,4,1,6,7]=>000011 [7,6,1,4,5,3,2]=>[2,3,5,4,1,6,7]=>000011 [7,6,1,5,2,3,4]=>[4,3,2,5,1,6,7]=>000011 [7,6,1,5,2,4,3]=>[3,4,2,5,1,6,7]=>000011 [7,6,1,5,3,2,4]=>[4,2,3,5,1,6,7]=>000011 [7,6,1,5,3,4,2]=>[2,4,3,5,1,6,7]=>000011 [7,6,1,5,4,2,3]=>[3,2,4,5,1,6,7]=>000011 [7,6,1,5,4,3,2]=>[2,3,4,5,1,6,7]=>000011 [7,6,2,1,3,4,5]=>[5,4,3,1,2,6,7]=>000011 [7,6,2,1,3,5,4]=>[4,5,3,1,2,6,7]=>000011 [7,6,2,1,4,3,5]=>[5,3,4,1,2,6,7]=>000011 [7,6,2,1,4,5,3]=>[3,5,4,1,2,6,7]=>000011 [7,6,2,1,5,3,4]=>[4,3,5,1,2,6,7]=>000011 [7,6,2,1,5,4,3]=>[3,4,5,1,2,6,7]=>000011 [7,6,2,3,1,4,5]=>[5,4,1,3,2,6,7]=>000011 [7,6,2,3,1,5,4]=>[4,5,1,3,2,6,7]=>000011 [7,6,2,3,4,1,5]=>[5,1,4,3,2,6,7]=>000011 [7,6,2,3,4,5,1]=>[1,5,4,3,2,6,7]=>100011 [7,6,2,3,5,1,4]=>[4,1,5,3,2,6,7]=>000011 [7,6,2,3,5,4,1]=>[1,4,5,3,2,6,7]=>100011 [7,6,2,4,1,3,5]=>[5,3,1,4,2,6,7]=>000011 [7,6,2,4,1,5,3]=>[3,5,1,4,2,6,7]=>000011 [7,6,2,4,3,1,5]=>[5,1,3,4,2,6,7]=>000011 [7,6,2,4,3,5,1]=>[1,5,3,4,2,6,7]=>100011 [7,6,2,4,5,1,3]=>[3,1,5,4,2,6,7]=>000011 [7,6,2,4,5,3,1]=>[1,3,5,4,2,6,7]=>100011 [7,6,2,5,1,3,4]=>[4,3,1,5,2,6,7]=>000011 [7,6,2,5,1,4,3]=>[3,4,1,5,2,6,7]=>000011 [7,6,2,5,3,1,4]=>[4,1,3,5,2,6,7]=>000011 [7,6,2,5,3,4,1]=>[1,4,3,5,2,6,7]=>100011 [7,6,2,5,4,1,3]=>[3,1,4,5,2,6,7]=>000011 [7,6,2,5,4,3,1]=>[1,3,4,5,2,6,7]=>100011 [7,6,3,1,2,4,5]=>[5,4,2,1,3,6,7]=>000011 [7,6,3,1,2,5,4]=>[4,5,2,1,3,6,7]=>000011 [7,6,3,1,4,2,5]=>[5,2,4,1,3,6,7]=>000011 [7,6,3,1,4,5,2]=>[2,5,4,1,3,6,7]=>000011 [7,6,3,1,5,2,4]=>[4,2,5,1,3,6,7]=>000011 [7,6,3,1,5,4,2]=>[2,4,5,1,3,6,7]=>000011 [7,6,3,2,1,4,5]=>[5,4,1,2,3,6,7]=>000011 [7,6,3,2,1,5,4]=>[4,5,1,2,3,6,7]=>000011 [7,6,3,2,4,1,5]=>[5,1,4,2,3,6,7]=>000011 [7,6,3,2,4,5,1]=>[1,5,4,2,3,6,7]=>100011 [7,6,3,2,5,1,4]=>[4,1,5,2,3,6,7]=>000011 [7,6,3,2,5,4,1]=>[1,4,5,2,3,6,7]=>100011 [7,6,3,4,1,2,5]=>[5,2,1,4,3,6,7]=>000011 [7,6,3,4,1,5,2]=>[2,5,1,4,3,6,7]=>000011 [7,6,3,4,2,1,5]=>[5,1,2,4,3,6,7]=>000011 [7,6,3,4,2,5,1]=>[1,5,2,4,3,6,7]=>100011 [7,6,3,4,5,1,2]=>[2,1,5,4,3,6,7]=>010011 [7,6,3,4,5,2,1]=>[1,2,5,4,3,6,7]=>110011 [7,6,3,5,1,2,4]=>[4,2,1,5,3,6,7]=>000011 [7,6,3,5,1,4,2]=>[2,4,1,5,3,6,7]=>000011 [7,6,3,5,2,1,4]=>[4,1,2,5,3,6,7]=>000011 [7,6,3,5,2,4,1]=>[1,4,2,5,3,6,7]=>100011 [7,6,3,5,4,1,2]=>[2,1,4,5,3,6,7]=>010011 [7,6,3,5,4,2,1]=>[1,2,4,5,3,6,7]=>110011 [7,6,4,1,2,3,5]=>[5,3,2,1,4,6,7]=>000011 [7,6,4,1,2,5,3]=>[3,5,2,1,4,6,7]=>000011 [7,6,4,1,3,2,5]=>[5,2,3,1,4,6,7]=>000011 [7,6,4,1,3,5,2]=>[2,5,3,1,4,6,7]=>000011 [7,6,4,1,5,2,3]=>[3,2,5,1,4,6,7]=>000011 [7,6,4,1,5,3,2]=>[2,3,5,1,4,6,7]=>000011 [7,6,4,2,1,3,5]=>[5,3,1,2,4,6,7]=>000011 [7,6,4,2,1,5,3]=>[3,5,1,2,4,6,7]=>000011 [7,6,4,2,3,1,5]=>[5,1,3,2,4,6,7]=>000011 [7,6,4,2,3,5,1]=>[1,5,3,2,4,6,7]=>100011 [7,6,4,2,5,1,3]=>[3,1,5,2,4,6,7]=>000011 [7,6,4,2,5,3,1]=>[1,3,5,2,4,6,7]=>100011 [7,6,4,3,1,2,5]=>[5,2,1,3,4,6,7]=>000011 [7,6,4,3,1,5,2]=>[2,5,1,3,4,6,7]=>000011 [7,6,4,3,2,1,5]=>[5,1,2,3,4,6,7]=>000011 [7,6,4,3,2,5,1]=>[1,5,2,3,4,6,7]=>100011 [7,6,4,3,5,1,2]=>[2,1,5,3,4,6,7]=>010011 [7,6,4,3,5,2,1]=>[1,2,5,3,4,6,7]=>110011 [7,6,4,5,1,2,3]=>[3,2,1,5,4,6,7]=>001011 [7,6,4,5,1,3,2]=>[2,3,1,5,4,6,7]=>001011 [7,6,4,5,2,1,3]=>[3,1,2,5,4,6,7]=>001011 [7,6,4,5,2,3,1]=>[1,3,2,5,4,6,7]=>101011 [7,6,4,5,3,1,2]=>[2,1,3,5,4,6,7]=>011011 [7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7]=>111011 [7,6,5,1,2,3,4]=>[4,3,2,1,5,6,7]=>000111 [7,6,5,1,2,4,3]=>[3,4,2,1,5,6,7]=>000111 [7,6,5,1,3,2,4]=>[4,2,3,1,5,6,7]=>000111 [7,6,5,1,3,4,2]=>[2,4,3,1,5,6,7]=>000111 [7,6,5,1,4,2,3]=>[3,2,4,1,5,6,7]=>000111 [7,6,5,1,4,3,2]=>[2,3,4,1,5,6,7]=>000111 [7,6,5,2,1,3,4]=>[4,3,1,2,5,6,7]=>000111 [7,6,5,2,1,4,3]=>[3,4,1,2,5,6,7]=>000111 [7,6,5,2,3,1,4]=>[4,1,3,2,5,6,7]=>000111 [7,6,5,2,3,4,1]=>[1,4,3,2,5,6,7]=>100111 [7,6,5,2,4,1,3]=>[3,1,4,2,5,6,7]=>000111 [7,6,5,2,4,3,1]=>[1,3,4,2,5,6,7]=>100111 [7,6,5,3,1,2,4]=>[4,2,1,3,5,6,7]=>000111 [7,6,5,3,1,4,2]=>[2,4,1,3,5,6,7]=>000111 [7,6,5,3,2,1,4]=>[4,1,2,3,5,6,7]=>000111 [7,6,5,3,2,4,1]=>[1,4,2,3,5,6,7]=>100111 [7,6,5,3,4,1,2]=>[2,1,4,3,5,6,7]=>010111 [7,6,5,3,4,2,1]=>[1,2,4,3,5,6,7]=>110111 [7,6,5,4,1,2,3]=>[3,2,1,4,5,6,7]=>001111 [7,6,5,4,1,3,2]=>[2,3,1,4,5,6,7]=>001111 [7,6,5,4,2,1,3]=>[3,1,2,4,5,6,7]=>001111 [7,6,5,4,2,3,1]=>[1,3,2,4,5,6,7]=>101111 [7,6,5,4,3,1,2]=>[2,1,3,4,5,6,7]=>011111 [7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>111111 [8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>1111111 [7,8,6,5,4,3,2,1]=>[1,2,3,4,5,6,8,7]=>1111110 [8,6,7,5,4,3,2,1]=>[1,2,3,4,5,7,6,8]=>1111101 [7,6,8,5,4,3,2,1]=>[1,2,3,4,5,8,6,7]=>1111100 [6,7,8,5,4,3,2,1]=>[1,2,3,4,5,8,7,6]=>1111100 [8,7,5,6,4,3,2,1]=>[1,2,3,4,6,5,7,8]=>1111011 [7,8,5,6,4,3,2,1]=>[1,2,3,4,6,5,8,7]=>1111010 [8,6,5,7,4,3,2,1]=>[1,2,3,4,7,5,6,8]=>1111001 [8,5,6,7,4,3,2,1]=>[1,2,3,4,7,6,5,8]=>1111001 [7,6,5,8,4,3,2,1]=>[1,2,3,4,8,5,6,7]=>1111000 [6,7,5,8,4,3,2,1]=>[1,2,3,4,8,5,7,6]=>1111000 [7,5,6,8,4,3,2,1]=>[1,2,3,4,8,6,5,7]=>1111000 [6,5,7,8,4,3,2,1]=>[1,2,3,4,8,7,5,6]=>1111000 [5,6,7,8,4,3,2,1]=>[1,2,3,4,8,7,6,5]=>1111000 [8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>1110111 [8,6,7,4,5,3,2,1]=>[1,2,3,5,4,7,6,8]=>1110101 [7,6,8,4,5,3,2,1]=>[1,2,3,5,4,8,6,7]=>1110100 [6,7,8,4,5,3,2,1]=>[1,2,3,5,4,8,7,6]=>1110100 [8,7,5,4,6,3,2,1]=>[1,2,3,6,4,5,7,8]=>1110011 [7,8,5,4,6,3,2,1]=>[1,2,3,6,4,5,8,7]=>1110010 [7,8,4,5,6,3,2,1]=>[1,2,3,6,5,4,8,7]=>1110010 [8,6,5,4,7,3,2,1]=>[1,2,3,7,4,5,6,8]=>1110001 [8,5,6,4,7,3,2,1]=>[1,2,3,7,4,6,5,8]=>1110001 [8,6,4,5,7,3,2,1]=>[1,2,3,7,5,4,6,8]=>1110001 [8,5,4,6,7,3,2,1]=>[1,2,3,7,6,4,5,8]=>1110001 [8,4,5,6,7,3,2,1]=>[1,2,3,7,6,5,4,8]=>1110001 [7,6,5,4,8,3,2,1]=>[1,2,3,8,4,5,6,7]=>1110000 [6,7,5,4,8,3,2,1]=>[1,2,3,8,4,5,7,6]=>1110000 [7,5,6,4,8,3,2,1]=>[1,2,3,8,4,6,5,7]=>1110000 [6,5,7,4,8,3,2,1]=>[1,2,3,8,4,7,5,6]=>1110000 [5,6,7,4,8,3,2,1]=>[1,2,3,8,4,7,6,5]=>1110000 [7,6,4,5,8,3,2,1]=>[1,2,3,8,5,4,6,7]=>1110000 [6,7,4,5,8,3,2,1]=>[1,2,3,8,5,4,7,6]=>1110000 [7,5,4,6,8,3,2,1]=>[1,2,3,8,6,4,5,7]=>1110000 [7,4,5,6,8,3,2,1]=>[1,2,3,8,6,5,4,7]=>1110000 [6,5,4,7,8,3,2,1]=>[1,2,3,8,7,4,5,6]=>1110000 [5,6,4,7,8,3,2,1]=>[1,2,3,8,7,4,6,5]=>1110000 [6,4,5,7,8,3,2,1]=>[1,2,3,8,7,5,4,6]=>1110000 [5,4,6,7,8,3,2,1]=>[1,2,3,8,7,6,4,5]=>1110000 [4,5,6,7,8,3,2,1]=>[1,2,3,8,7,6,5,4]=>1110000 [8,7,6,5,3,4,2,1]=>[1,2,4,3,5,6,7,8]=>1101111 [7,8,6,5,3,4,2,1]=>[1,2,4,3,5,6,8,7]=>1101110 [7,6,8,5,3,4,2,1]=>[1,2,4,3,5,8,6,7]=>1101100 [8,7,5,6,3,4,2,1]=>[1,2,4,3,6,5,7,8]=>1101011 [7,8,5,6,3,4,2,1]=>[1,2,4,3,6,5,8,7]=>1101010 [7,6,5,8,3,4,2,1]=>[1,2,4,3,8,5,6,7]=>1101000 [6,7,5,8,3,4,2,1]=>[1,2,4,3,8,5,7,6]=>1101000 [5,6,7,8,3,4,2,1]=>[1,2,4,3,8,7,6,5]=>1101000 [7,6,8,4,3,5,2,1]=>[1,2,5,3,4,8,6,7]=>1100100 [6,7,8,4,3,5,2,1]=>[1,2,5,3,4,8,7,6]=>1100100 [7,8,6,3,4,5,2,1]=>[1,2,5,4,3,6,8,7]=>1100110 [7,6,8,3,4,5,2,1]=>[1,2,5,4,3,8,6,7]=>1100100 [8,7,5,4,3,6,2,1]=>[1,2,6,3,4,5,7,8]=>1100011 [7,8,5,4,3,6,2,1]=>[1,2,6,3,4,5,8,7]=>1100010 [8,7,4,3,5,6,2,1]=>[1,2,6,5,3,4,7,8]=>1100011 [8,7,3,4,5,6,2,1]=>[1,2,6,5,4,3,7,8]=>1100011 [8,6,5,4,3,7,2,1]=>[1,2,7,3,4,5,6,8]=>1100001 [8,5,3,4,6,7,2,1]=>[1,2,7,6,4,3,5,8]=>1100001 [7,6,5,4,3,8,2,1]=>[1,2,8,3,4,5,6,7]=>1100000 [6,7,5,4,3,8,2,1]=>[1,2,8,3,4,5,7,6]=>1100000 [7,6,4,5,3,8,2,1]=>[1,2,8,3,5,4,6,7]=>1100000 [6,7,4,5,3,8,2,1]=>[1,2,8,3,5,4,7,6]=>1100000 [7,5,4,6,3,8,2,1]=>[1,2,8,3,6,4,5,7]=>1100000 [6,4,5,7,3,8,2,1]=>[1,2,8,3,7,5,4,6]=>1100000 [5,4,6,7,3,8,2,1]=>[1,2,8,3,7,6,4,5]=>1100000 [4,5,6,7,3,8,2,1]=>[1,2,8,3,7,6,5,4]=>1100000 [7,6,5,3,4,8,2,1]=>[1,2,8,4,3,5,6,7]=>1100000 [6,7,5,3,4,8,2,1]=>[1,2,8,4,3,5,7,6]=>1100000 [6,5,7,3,4,8,2,1]=>[1,2,8,4,3,7,5,6]=>1100000 [5,6,7,3,4,8,2,1]=>[1,2,8,4,3,7,6,5]=>1100000 [7,6,4,3,5,8,2,1]=>[1,2,8,5,3,4,6,7]=>1100000 [7,6,3,4,5,8,2,1]=>[1,2,8,5,4,3,6,7]=>1100000 [7,5,3,4,6,8,2,1]=>[1,2,8,6,4,3,5,7]=>1100000 [6,5,4,3,7,8,2,1]=>[1,2,8,7,3,4,5,6]=>1100000 [4,5,6,3,7,8,2,1]=>[1,2,8,7,3,6,5,4]=>1100000 [5,6,3,4,7,8,2,1]=>[1,2,8,7,4,3,6,5]=>1100000 [4,5,3,6,7,8,2,1]=>[1,2,8,7,6,3,5,4]=>1100000 [5,3,4,6,7,8,2,1]=>[1,2,8,7,6,4,3,5]=>1100000 [3,4,5,6,7,8,2,1]=>[1,2,8,7,6,5,4,3]=>1100000 [8,7,6,5,4,2,3,1]=>[1,3,2,4,5,6,7,8]=>1011111 [8,6,7,5,4,2,3,1]=>[1,3,2,4,5,7,6,8]=>1011101 [7,6,8,5,4,2,3,1]=>[1,3,2,4,5,8,6,7]=>1011100 [7,8,5,6,4,2,3,1]=>[1,3,2,4,6,5,8,7]=>1011010 [8,5,6,7,4,2,3,1]=>[1,3,2,4,7,6,5,8]=>1011001 [7,6,5,8,4,2,3,1]=>[1,3,2,4,8,5,6,7]=>1011000 [6,7,5,8,4,2,3,1]=>[1,3,2,4,8,5,7,6]=>1011000 [7,5,6,8,4,2,3,1]=>[1,3,2,4,8,6,5,7]=>1011000 [5,6,7,8,4,2,3,1]=>[1,3,2,4,8,7,6,5]=>1011000 [8,7,6,4,5,2,3,1]=>[1,3,2,5,4,6,7,8]=>1010111 [8,6,7,4,5,2,3,1]=>[1,3,2,5,4,7,6,8]=>1010101 [7,6,8,4,5,2,3,1]=>[1,3,2,5,4,8,6,7]=>1010100 [6,7,8,4,5,2,3,1]=>[1,3,2,5,4,8,7,6]=>1010100 [8,6,5,4,7,2,3,1]=>[1,3,2,7,4,5,6,8]=>1010001 [8,5,6,4,7,2,3,1]=>[1,3,2,7,4,6,5,8]=>1010001 [7,6,5,4,8,2,3,1]=>[1,3,2,8,4,5,6,7]=>1010000 [7,5,6,4,8,2,3,1]=>[1,3,2,8,4,6,5,7]=>1010000 [6,5,7,4,8,2,3,1]=>[1,3,2,8,4,7,5,6]=>1010000 [6,5,4,7,8,2,3,1]=>[1,3,2,8,7,4,5,6]=>1010000 [5,4,6,7,8,2,3,1]=>[1,3,2,8,7,6,4,5]=>1010000 [4,5,6,7,8,2,3,1]=>[1,3,2,8,7,6,5,4]=>1010000 [8,7,6,5,3,2,4,1]=>[1,4,2,3,5,6,7,8]=>1001111 [7,8,6,5,3,2,4,1]=>[1,4,2,3,5,6,8,7]=>1001110 [8,6,7,5,3,2,4,1]=>[1,4,2,3,5,7,6,8]=>1001101 [7,6,8,5,3,2,4,1]=>[1,4,2,3,5,8,6,7]=>1001100 [6,7,8,5,3,2,4,1]=>[1,4,2,3,5,8,7,6]=>1001100 [8,7,5,6,3,2,4,1]=>[1,4,2,3,6,5,7,8]=>1001011 [7,8,5,6,3,2,4,1]=>[1,4,2,3,6,5,8,7]=>1001010 [8,6,5,7,3,2,4,1]=>[1,4,2,3,7,5,6,8]=>1001001 [7,6,5,8,3,2,4,1]=>[1,4,2,3,8,5,6,7]=>1001000 [6,7,5,8,3,2,4,1]=>[1,4,2,3,8,5,7,6]=>1001000 [7,5,6,8,3,2,4,1]=>[1,4,2,3,8,6,5,7]=>1001000 [6,5,7,8,3,2,4,1]=>[1,4,2,3,8,7,5,6]=>1001000 [5,6,7,8,3,2,4,1]=>[1,4,2,3,8,7,6,5]=>1001000 [8,7,6,5,2,3,4,1]=>[1,4,3,2,5,6,7,8]=>1001111 [8,6,7,5,2,3,4,1]=>[1,4,3,2,5,7,6,8]=>1001101 [7,6,8,5,2,3,4,1]=>[1,4,3,2,5,8,6,7]=>1001100 [6,7,8,5,2,3,4,1]=>[1,4,3,2,5,8,7,6]=>1001100 [8,5,6,7,2,3,4,1]=>[1,4,3,2,7,6,5,8]=>1001001 [7,6,5,8,2,3,4,1]=>[1,4,3,2,8,5,6,7]=>1001000 [5,6,7,8,2,3,4,1]=>[1,4,3,2,8,7,6,5]=>1001000 [8,7,6,4,3,2,5,1]=>[1,5,2,3,4,6,7,8]=>1000111 [7,8,6,4,3,2,5,1]=>[1,5,2,3,4,6,8,7]=>1000110 [8,6,7,4,3,2,5,1]=>[1,5,2,3,4,7,6,8]=>1000101 [7,6,8,4,3,2,5,1]=>[1,5,2,3,4,8,6,7]=>1000100 [6,7,8,4,3,2,5,1]=>[1,5,2,3,4,8,7,6]=>1000100 [8,7,6,3,4,2,5,1]=>[1,5,2,4,3,6,7,8]=>1000111 [7,8,6,3,4,2,5,1]=>[1,5,2,4,3,6,8,7]=>1000110 [8,6,7,3,4,2,5,1]=>[1,5,2,4,3,7,6,8]=>1000101 [7,6,8,3,4,2,5,1]=>[1,5,2,4,3,8,6,7]=>1000100 [6,7,8,3,4,2,5,1]=>[1,5,2,4,3,8,7,6]=>1000100 [7,8,6,4,2,3,5,1]=>[1,5,3,2,4,6,8,7]=>1000110 [7,6,8,4,2,3,5,1]=>[1,5,3,2,4,8,6,7]=>1000100 [6,7,8,4,2,3,5,1]=>[1,5,3,2,4,8,7,6]=>1000100 [8,7,6,3,2,4,5,1]=>[1,5,4,2,3,6,7,8]=>1000111 [7,8,6,3,2,4,5,1]=>[1,5,4,2,3,6,8,7]=>1000110 [7,6,8,3,2,4,5,1]=>[1,5,4,2,3,8,6,7]=>1000100 [6,7,8,3,2,4,5,1]=>[1,5,4,2,3,8,7,6]=>1000100 [8,7,5,4,3,2,6,1]=>[1,6,2,3,4,5,7,8]=>1000011 [7,8,5,4,3,2,6,1]=>[1,6,2,3,4,5,8,7]=>1000010 [8,7,5,4,2,3,6,1]=>[1,6,3,2,4,5,7,8]=>1000011 [8,7,5,3,2,4,6,1]=>[1,6,4,2,3,5,7,8]=>1000011 [7,8,5,3,2,4,6,1]=>[1,6,4,2,3,5,8,7]=>1000010 [7,8,4,3,2,5,6,1]=>[1,6,5,2,3,4,8,7]=>1000010 [8,7,4,2,3,5,6,1]=>[1,6,5,3,2,4,7,8]=>1000011 [8,5,6,3,4,2,7,1]=>[1,7,2,4,3,6,5,8]=>1000001 [8,6,4,3,5,2,7,1]=>[1,7,2,5,3,4,6,8]=>1000001 [8,4,5,3,6,2,7,1]=>[1,7,2,6,3,5,4,8]=>1000001 [8,6,5,4,2,3,7,1]=>[1,7,3,2,4,5,6,8]=>1000001 [8,5,6,4,2,3,7,1]=>[1,7,3,2,4,6,5,8]=>1000001 [8,6,4,2,3,5,7,1]=>[1,7,5,3,2,4,6,8]=>1000001 [8,5,4,3,2,6,7,1]=>[1,7,6,2,3,4,5,8]=>1000001 [8,5,3,4,2,6,7,1]=>[1,7,6,2,4,3,5,8]=>1000001 [8,5,4,2,3,6,7,1]=>[1,7,6,3,2,4,5,8]=>1000001 [8,5,3,2,4,6,7,1]=>[1,7,6,4,2,3,5,8]=>1000001 [7,6,5,4,3,2,8,1]=>[1,8,2,3,4,5,6,7]=>1000000 [7,6,4,5,3,2,8,1]=>[1,8,2,3,5,4,6,7]=>1000000 [7,5,4,6,3,2,8,1]=>[1,8,2,3,6,4,5,7]=>1000000 [7,4,5,6,3,2,8,1]=>[1,8,2,3,6,5,4,7]=>1000000 [6,4,5,7,3,2,8,1]=>[1,8,2,3,7,5,4,6]=>1000000 [4,5,6,7,3,2,8,1]=>[1,8,2,3,7,6,5,4]=>1000000 [7,6,5,3,4,2,8,1]=>[1,8,2,4,3,5,6,7]=>1000000 [7,5,6,3,4,2,8,1]=>[1,8,2,4,3,6,5,7]=>1000000 [6,5,7,3,4,2,8,1]=>[1,8,2,4,3,7,5,6]=>1000000 [7,6,4,3,5,2,8,1]=>[1,8,2,5,3,4,6,7]=>1000000 [7,5,4,3,6,2,8,1]=>[1,8,2,6,3,4,5,7]=>1000000 [7,4,5,3,6,2,8,1]=>[1,8,2,6,3,5,4,7]=>1000000 [6,5,4,3,7,2,8,1]=>[1,8,2,7,3,4,5,6]=>1000000 [6,4,5,3,7,2,8,1]=>[1,8,2,7,3,5,4,6]=>1000000 [5,4,6,3,7,2,8,1]=>[1,8,2,7,3,6,4,5]=>1000000 [4,5,6,3,7,2,8,1]=>[1,8,2,7,3,6,5,4]=>1000000 [6,5,3,4,7,2,8,1]=>[1,8,2,7,4,3,5,6]=>1000000 [5,4,3,6,7,2,8,1]=>[1,8,2,7,6,3,4,5]=>1000000 [4,5,3,6,7,2,8,1]=>[1,8,2,7,6,3,5,4]=>1000000 [3,4,5,6,7,2,8,1]=>[1,8,2,7,6,5,4,3]=>1000000 [7,6,5,4,2,3,8,1]=>[1,8,3,2,4,5,6,7]=>1000000 [7,5,4,6,2,3,8,1]=>[1,8,3,2,6,4,5,7]=>1000000 [4,5,6,7,2,3,8,1]=>[1,8,3,2,7,6,5,4]=>1000000 [7,6,5,3,2,4,8,1]=>[1,8,4,2,3,5,6,7]=>1000000 [6,5,7,3,2,4,8,1]=>[1,8,4,2,3,7,5,6]=>1000000 [5,6,7,3,2,4,8,1]=>[1,8,4,2,3,7,6,5]=>1000000 [7,6,5,2,3,4,8,1]=>[1,8,4,3,2,5,6,7]=>1000000 [7,6,4,2,3,5,8,1]=>[1,8,5,3,2,4,6,7]=>1000000 [6,7,4,2,3,5,8,1]=>[1,8,5,3,2,4,7,6]=>1000000 [6,7,3,2,4,5,8,1]=>[1,8,5,4,2,3,7,6]=>1000000 [6,7,2,3,4,5,8,1]=>[1,8,5,4,3,2,7,6]=>1000000 [7,5,4,3,2,6,8,1]=>[1,8,6,2,3,4,5,7]=>1000000 [7,5,4,2,3,6,8,1]=>[1,8,6,3,2,4,5,7]=>1000000 [7,5,3,2,4,6,8,1]=>[1,8,6,4,2,3,5,7]=>1000000 [6,5,4,3,2,7,8,1]=>[1,8,7,2,3,4,5,6]=>1000000 [5,4,6,3,2,7,8,1]=>[1,8,7,2,3,6,4,5]=>1000000 [4,5,6,3,2,7,8,1]=>[1,8,7,2,3,6,5,4]=>1000000 [6,4,3,5,2,7,8,1]=>[1,8,7,2,5,3,4,6]=>1000000 [5,4,3,6,2,7,8,1]=>[1,8,7,2,6,3,4,5]=>1000000 [4,5,3,6,2,7,8,1]=>[1,8,7,2,6,3,5,4]=>1000000 [3,4,5,6,2,7,8,1]=>[1,8,7,2,6,5,4,3]=>1000000 [6,5,4,2,3,7,8,1]=>[1,8,7,3,2,4,5,6]=>1000000 [5,6,4,2,3,7,8,1]=>[1,8,7,3,2,4,6,5]=>1000000 [6,4,5,2,3,7,8,1]=>[1,8,7,3,2,5,4,6]=>1000000 [5,4,6,2,3,7,8,1]=>[1,8,7,3,2,6,4,5]=>1000000 [6,5,3,2,4,7,8,1]=>[1,8,7,4,2,3,5,6]=>1000000 [6,5,2,3,4,7,8,1]=>[1,8,7,4,3,2,5,6]=>1000000 [6,4,3,2,5,7,8,1]=>[1,8,7,5,2,3,4,6]=>1000000 [6,4,2,3,5,7,8,1]=>[1,8,7,5,3,2,4,6]=>1000000 [6,2,3,4,5,7,8,1]=>[1,8,7,5,4,3,2,6]=>1000000 [5,4,3,2,6,7,8,1]=>[1,8,7,6,2,3,4,5]=>1000000 [5,3,4,2,6,7,8,1]=>[1,8,7,6,2,4,3,5]=>1000000 [3,4,5,2,6,7,8,1]=>[1,8,7,6,2,5,4,3]=>1000000 [5,4,2,3,6,7,8,1]=>[1,8,7,6,3,2,4,5]=>1000000 [5,3,2,4,6,7,8,1]=>[1,8,7,6,4,2,3,5]=>1000000 [5,2,3,4,6,7,8,1]=>[1,8,7,6,4,3,2,5]=>1000000 [2,3,4,5,6,7,8,1]=>[1,8,7,6,5,4,3,2]=>1000000 [8,7,6,5,4,3,1,2]=>[2,1,3,4,5,6,7,8]=>0111111 [7,8,6,5,4,3,1,2]=>[2,1,3,4,5,6,8,7]=>0111110 [8,7,5,6,4,3,1,2]=>[2,1,3,4,6,5,7,8]=>0111011 [7,8,5,6,4,3,1,2]=>[2,1,3,4,6,5,8,7]=>0111010 [7,6,5,8,4,3,1,2]=>[2,1,3,4,8,5,6,7]=>0111000 [6,7,5,8,4,3,1,2]=>[2,1,3,4,8,5,7,6]=>0111000 [7,5,6,8,4,3,1,2]=>[2,1,3,4,8,6,5,7]=>0111000 [6,5,7,8,4,3,1,2]=>[2,1,3,4,8,7,5,6]=>0111000 [5,6,7,8,4,3,1,2]=>[2,1,3,4,8,7,6,5]=>0111000 [7,8,6,4,5,3,1,2]=>[2,1,3,5,4,6,8,7]=>0110110 [6,7,8,4,5,3,1,2]=>[2,1,3,5,4,8,7,6]=>0110100 [7,8,4,5,6,3,1,2]=>[2,1,3,6,5,4,8,7]=>0110010 [7,6,5,4,8,3,1,2]=>[2,1,3,8,4,5,6,7]=>0110000 [6,7,5,4,8,3,1,2]=>[2,1,3,8,4,5,7,6]=>0110000 [6,5,7,4,8,3,1,2]=>[2,1,3,8,4,7,5,6]=>0110000 [5,6,7,4,8,3,1,2]=>[2,1,3,8,4,7,6,5]=>0110000 [6,7,4,5,8,3,1,2]=>[2,1,3,8,5,4,7,6]=>0110000 [6,5,4,7,8,3,1,2]=>[2,1,3,8,7,4,5,6]=>0110000 [5,6,4,7,8,3,1,2]=>[2,1,3,8,7,4,6,5]=>0110000 [6,4,5,7,8,3,1,2]=>[2,1,3,8,7,5,4,6]=>0110000 [5,4,6,7,8,3,1,2]=>[2,1,3,8,7,6,4,5]=>0110000 [4,5,6,7,8,3,1,2]=>[2,1,3,8,7,6,5,4]=>0110000 [8,7,6,5,3,4,1,2]=>[2,1,4,3,5,6,7,8]=>0101111 [7,8,6,5,3,4,1,2]=>[2,1,4,3,5,6,8,7]=>0101110 [8,7,5,6,3,4,1,2]=>[2,1,4,3,6,5,7,8]=>0101011 [7,8,5,6,3,4,1,2]=>[2,1,4,3,6,5,8,7]=>0101010 [6,7,5,8,3,4,1,2]=>[2,1,4,3,8,5,7,6]=>0101000 [5,6,7,8,3,4,1,2]=>[2,1,4,3,8,7,6,5]=>0101000 [7,8,6,3,4,5,1,2]=>[2,1,5,4,3,6,8,7]=>0100110 [7,8,4,5,3,6,1,2]=>[2,1,6,3,5,4,8,7]=>0100010 [7,8,5,3,4,6,1,2]=>[2,1,6,4,3,5,8,7]=>0100010 [7,8,3,4,5,6,1,2]=>[2,1,6,5,4,3,8,7]=>0100010 [8,5,4,6,3,7,1,2]=>[2,1,7,3,6,4,5,8]=>0100001 [6,7,4,5,3,8,1,2]=>[2,1,8,3,5,4,7,6]=>0100000 [7,5,4,6,3,8,1,2]=>[2,1,8,3,6,4,5,7]=>0100000 [6,5,4,7,3,8,1,2]=>[2,1,8,3,7,4,5,6]=>0100000 [6,4,5,7,3,8,1,2]=>[2,1,8,3,7,5,4,6]=>0100000 [5,4,6,7,3,8,1,2]=>[2,1,8,3,7,6,4,5]=>0100000 [4,5,6,7,3,8,1,2]=>[2,1,8,3,7,6,5,4]=>0100000 [6,7,5,3,4,8,1,2]=>[2,1,8,4,3,5,7,6]=>0100000 [6,5,7,3,4,8,1,2]=>[2,1,8,4,3,7,5,6]=>0100000 [6,7,3,4,5,8,1,2]=>[2,1,8,5,4,3,7,6]=>0100000 [6,5,4,3,7,8,1,2]=>[2,1,8,7,3,4,5,6]=>0100000 [6,4,5,3,7,8,1,2]=>[2,1,8,7,3,5,4,6]=>0100000 [5,4,3,6,7,8,1,2]=>[2,1,8,7,6,3,4,5]=>0100000 [4,3,5,6,7,8,1,2]=>[2,1,8,7,6,5,3,4]=>0100000 [3,4,5,6,7,8,1,2]=>[2,1,8,7,6,5,4,3]=>0100000 [8,7,6,5,4,2,1,3]=>[3,1,2,4,5,6,7,8]=>0011111 [7,6,8,5,4,2,1,3]=>[3,1,2,4,5,8,6,7]=>0011100 [7,6,5,8,4,2,1,3]=>[3,1,2,4,8,5,6,7]=>0011000 [6,7,5,8,4,2,1,3]=>[3,1,2,4,8,5,7,6]=>0011000 [7,5,6,8,4,2,1,3]=>[3,1,2,4,8,6,5,7]=>0011000 [6,5,7,8,4,2,1,3]=>[3,1,2,4,8,7,5,6]=>0011000 [5,6,7,8,4,2,1,3]=>[3,1,2,4,8,7,6,5]=>0011000 [7,8,6,4,5,2,1,3]=>[3,1,2,5,4,6,8,7]=>0010110 [7,8,5,4,6,2,1,3]=>[3,1,2,6,4,5,8,7]=>0010010 [7,6,5,4,8,2,1,3]=>[3,1,2,8,4,5,6,7]=>0010000 [6,7,5,4,8,2,1,3]=>[3,1,2,8,4,5,7,6]=>0010000 [6,5,7,4,8,2,1,3]=>[3,1,2,8,4,7,5,6]=>0010000 [7,5,4,6,8,2,1,3]=>[3,1,2,8,6,4,5,7]=>0010000 [6,5,4,7,8,2,1,3]=>[3,1,2,8,7,4,5,6]=>0010000 [4,5,6,7,8,2,1,3]=>[3,1,2,8,7,6,5,4]=>0010000 [8,7,6,5,4,1,2,3]=>[3,2,1,4,5,6,7,8]=>0011111 [6,7,8,5,4,1,2,3]=>[3,2,1,4,5,8,7,6]=>0011100 [8,5,6,7,4,1,2,3]=>[3,2,1,4,7,6,5,8]=>0011001 [7,6,5,8,4,1,2,3]=>[3,2,1,4,8,5,6,7]=>0011000 [6,7,5,8,4,1,2,3]=>[3,2,1,4,8,5,7,6]=>0011000 [5,6,7,8,4,1,2,3]=>[3,2,1,4,8,7,6,5]=>0011000 [8,6,7,4,5,1,2,3]=>[3,2,1,5,4,7,6,8]=>0010101 [8,7,5,4,6,1,2,3]=>[3,2,1,6,4,5,7,8]=>0010011 [8,6,5,4,7,1,2,3]=>[3,2,1,7,4,5,6,8]=>0010001 [7,6,5,4,8,1,2,3]=>[3,2,1,8,4,5,6,7]=>0010000 [6,7,5,4,8,1,2,3]=>[3,2,1,8,4,5,7,6]=>0010000 [7,6,4,5,8,1,2,3]=>[3,2,1,8,5,4,6,7]=>0010000 [7,5,4,6,8,1,2,3]=>[3,2,1,8,6,4,5,7]=>0010000 [6,5,4,7,8,1,2,3]=>[3,2,1,8,7,4,5,6]=>0010000 [4,5,6,7,8,1,2,3]=>[3,2,1,8,7,6,5,4]=>0010000 [8,7,6,5,3,2,1,4]=>[4,1,2,3,5,6,7,8]=>0001111 [7,6,5,8,3,2,1,4]=>[4,1,2,3,8,5,6,7]=>0001000 [6,7,5,8,3,2,1,4]=>[4,1,2,3,8,5,7,6]=>0001000 [7,5,6,8,3,2,1,4]=>[4,1,2,3,8,6,5,7]=>0001000 [6,5,7,8,3,2,1,4]=>[4,1,2,3,8,7,5,6]=>0001000 [5,6,7,8,3,2,1,4]=>[4,1,2,3,8,7,6,5]=>0001000 [8,7,6,5,2,3,1,4]=>[4,1,3,2,5,6,7,8]=>0001111 [7,6,5,8,2,3,1,4]=>[4,1,3,2,8,5,6,7]=>0001000 [6,7,5,8,2,3,1,4]=>[4,1,3,2,8,5,7,6]=>0001000 [7,5,6,8,2,3,1,4]=>[4,1,3,2,8,6,5,7]=>0001000 [5,6,7,8,2,3,1,4]=>[4,1,3,2,8,7,6,5]=>0001000 [8,7,6,5,3,1,2,4]=>[4,2,1,3,5,6,7,8]=>0001111 [6,7,8,5,3,1,2,4]=>[4,2,1,3,5,8,7,6]=>0001100 [8,7,5,6,3,1,2,4]=>[4,2,1,3,6,5,7,8]=>0001011 [7,8,5,6,3,1,2,4]=>[4,2,1,3,6,5,8,7]=>0001010 [6,7,5,8,3,1,2,4]=>[4,2,1,3,8,5,7,6]=>0001000 [7,5,6,8,3,1,2,4]=>[4,2,1,3,8,6,5,7]=>0001000 [5,6,7,8,3,1,2,4]=>[4,2,1,3,8,7,6,5]=>0001000 [8,7,6,5,2,1,3,4]=>[4,3,1,2,5,6,7,8]=>0001111 [8,6,7,5,2,1,3,4]=>[4,3,1,2,5,7,6,8]=>0001101 [6,7,8,5,2,1,3,4]=>[4,3,1,2,5,8,7,6]=>0001100 [8,7,5,6,2,1,3,4]=>[4,3,1,2,6,5,7,8]=>0001011 [6,7,5,8,2,1,3,4]=>[4,3,1,2,8,5,7,6]=>0001000 [7,5,6,8,2,1,3,4]=>[4,3,1,2,8,6,5,7]=>0001000 [6,5,7,8,2,1,3,4]=>[4,3,1,2,8,7,5,6]=>0001000 [5,6,7,8,2,1,3,4]=>[4,3,1,2,8,7,6,5]=>0001000 [8,7,6,5,1,2,3,4]=>[4,3,2,1,5,6,7,8]=>0001111 [7,8,6,5,1,2,3,4]=>[4,3,2,1,5,6,8,7]=>0001110 [8,6,7,5,1,2,3,4]=>[4,3,2,1,5,7,6,8]=>0001101 [7,6,8,5,1,2,3,4]=>[4,3,2,1,5,8,6,7]=>0001100 [6,7,8,5,1,2,3,4]=>[4,3,2,1,5,8,7,6]=>0001100 [8,7,5,6,1,2,3,4]=>[4,3,2,1,6,5,7,8]=>0001011 [7,8,5,6,1,2,3,4]=>[4,3,2,1,6,5,8,7]=>0001010 [8,6,5,7,1,2,3,4]=>[4,3,2,1,7,5,6,8]=>0001001 [8,5,6,7,1,2,3,4]=>[4,3,2,1,7,6,5,8]=>0001001 [7,6,5,8,1,2,3,4]=>[4,3,2,1,8,5,6,7]=>0001000 [6,7,5,8,1,2,3,4]=>[4,3,2,1,8,5,7,6]=>0001000 [7,5,6,8,1,2,3,4]=>[4,3,2,1,8,6,5,7]=>0001000 [6,5,7,8,1,2,3,4]=>[4,3,2,1,8,7,5,6]=>0001000 [5,6,7,8,1,2,3,4]=>[4,3,2,1,8,7,6,5]=>0001000 [8,7,6,4,3,2,1,5]=>[5,1,2,3,4,6,7,8]=>0000111 [8,7,6,3,4,2,1,5]=>[5,1,2,4,3,6,7,8]=>0000111 [7,8,6,3,4,2,1,5]=>[5,1,2,4,3,6,8,7]=>0000110 [8,7,6,4,2,3,1,5]=>[5,1,3,2,4,6,7,8]=>0000111 [7,8,6,4,2,3,1,5]=>[5,1,3,2,4,6,8,7]=>0000110 [7,6,8,4,2,3,1,5]=>[5,1,3,2,4,8,6,7]=>0000100 [8,7,6,3,2,4,1,5]=>[5,1,4,2,3,6,7,8]=>0000111 [7,6,8,3,2,4,1,5]=>[5,1,4,2,3,8,6,7]=>0000100 [8,7,6,2,3,4,1,5]=>[5,1,4,3,2,6,7,8]=>0000111 [8,7,6,4,3,1,2,5]=>[5,2,1,3,4,6,7,8]=>0000111 [8,7,6,3,4,1,2,5]=>[5,2,1,4,3,6,7,8]=>0000111 [8,7,6,4,2,1,3,5]=>[5,3,1,2,4,6,7,8]=>0000111 [7,8,6,4,2,1,3,5]=>[5,3,1,2,4,6,8,7]=>0000110 [6,7,8,4,2,1,3,5]=>[5,3,1,2,4,8,7,6]=>0000100 [8,7,6,4,1,2,3,5]=>[5,3,2,1,4,6,7,8]=>0000111 [7,6,8,4,1,2,3,5]=>[5,3,2,1,4,8,6,7]=>0000100 [6,7,8,4,1,2,3,5]=>[5,3,2,1,4,8,7,6]=>0000100 [8,7,6,3,2,1,4,5]=>[5,4,1,2,3,6,7,8]=>0000111 [7,6,8,3,2,1,4,5]=>[5,4,1,2,3,8,6,7]=>0000100 [6,7,8,3,2,1,4,5]=>[5,4,1,2,3,8,7,6]=>0000100 [8,7,6,2,3,1,4,5]=>[5,4,1,3,2,6,7,8]=>0000111 [6,7,8,2,3,1,4,5]=>[5,4,1,3,2,8,7,6]=>0000100 [8,7,6,3,1,2,4,5]=>[5,4,2,1,3,6,7,8]=>0000111 [8,7,6,2,1,3,4,5]=>[5,4,3,1,2,6,7,8]=>0000111 [6,7,8,2,1,3,4,5]=>[5,4,3,1,2,8,7,6]=>0000100 [8,7,6,1,2,3,4,5]=>[5,4,3,2,1,6,7,8]=>0000111 [7,8,6,1,2,3,4,5]=>[5,4,3,2,1,6,8,7]=>0000110 [8,6,7,1,2,3,4,5]=>[5,4,3,2,1,7,6,8]=>0000101 [7,6,8,1,2,3,4,5]=>[5,4,3,2,1,8,6,7]=>0000100 [6,7,8,1,2,3,4,5]=>[5,4,3,2,1,8,7,6]=>0000100 [7,8,4,3,2,5,1,6]=>[6,1,5,2,3,4,8,7]=>0000010 [8,7,3,4,5,1,2,6]=>[6,2,1,5,4,3,7,8]=>0000011 [8,7,4,5,1,2,3,6]=>[6,3,2,1,5,4,7,8]=>0000011 [8,7,5,3,1,2,4,6]=>[6,4,2,1,3,5,7,8]=>0000011 [8,7,5,2,1,3,4,6]=>[6,4,3,1,2,5,7,8]=>0000011 [7,8,5,2,1,3,4,6]=>[6,4,3,1,2,5,8,7]=>0000010 [8,7,5,1,2,3,4,6]=>[6,4,3,2,1,5,7,8]=>0000011 [7,8,5,1,2,3,4,6]=>[6,4,3,2,1,5,8,7]=>0000010 [7,8,4,3,2,1,5,6]=>[6,5,1,2,3,4,8,7]=>0000010 [7,8,4,2,1,3,5,6]=>[6,5,3,1,2,4,8,7]=>0000010 [7,8,3,2,1,4,5,6]=>[6,5,4,1,2,3,8,7]=>0000010 [7,8,1,2,3,4,5,6]=>[6,5,4,3,2,1,8,7]=>0000010 [8,6,5,4,3,2,1,7]=>[7,1,2,3,4,5,6,8]=>0000001 [8,4,5,6,3,2,1,7]=>[7,1,2,3,6,5,4,8]=>0000001 [8,5,4,3,6,2,1,7]=>[7,1,2,6,3,4,5,8]=>0000001 [8,4,5,3,6,2,1,7]=>[7,1,2,6,3,5,4,8]=>0000001 [8,5,3,4,6,2,1,7]=>[7,1,2,6,4,3,5,8]=>0000001 [8,4,3,5,6,2,1,7]=>[7,1,2,6,5,3,4,8]=>0000001 [8,3,4,5,6,2,1,7]=>[7,1,2,6,5,4,3,8]=>0000001 [8,6,5,2,3,4,1,7]=>[7,1,4,3,2,5,6,8]=>0000001 [8,5,4,3,2,6,1,7]=>[7,1,6,2,3,4,5,8]=>0000001 [8,6,3,4,5,1,2,7]=>[7,2,1,5,4,3,6,8]=>0000001 [8,4,5,3,6,1,2,7]=>[7,2,1,6,3,5,4,8]=>0000001 [8,6,5,4,2,1,3,7]=>[7,3,1,2,4,5,6,8]=>0000001 [8,5,6,4,1,2,3,7]=>[7,3,2,1,4,6,5,8]=>0000001 [8,5,4,6,1,2,3,7]=>[7,3,2,1,6,4,5,8]=>0000001 [8,6,5,2,3,1,4,7]=>[7,4,1,3,2,5,6,8]=>0000001 [8,5,6,2,3,1,4,7]=>[7,4,1,3,2,6,5,8]=>0000001 [8,6,5,2,1,3,4,7]=>[7,4,3,1,2,5,6,8]=>0000001 [8,5,6,2,1,3,4,7]=>[7,4,3,1,2,6,5,8]=>0000001 [8,6,5,1,2,3,4,7]=>[7,4,3,2,1,5,6,8]=>0000001 [8,5,6,1,2,3,4,7]=>[7,4,3,2,1,6,5,8]=>0000001 [8,6,4,3,2,1,5,7]=>[7,5,1,2,3,4,6,8]=>0000001 [8,6,3,4,2,1,5,7]=>[7,5,1,2,4,3,6,8]=>0000001 [8,6,4,2,1,3,5,7]=>[7,5,3,1,2,4,6,8]=>0000001 [8,6,4,1,2,3,5,7]=>[7,5,3,2,1,4,6,8]=>0000001 [8,4,5,3,2,1,6,7]=>[7,6,1,2,3,5,4,8]=>0000001 [8,3,4,5,2,1,6,7]=>[7,6,1,2,5,4,3,8]=>0000001 [8,5,4,1,2,3,6,7]=>[7,6,3,2,1,4,5,8]=>0000001 [8,5,1,2,3,4,6,7]=>[7,6,4,3,2,1,5,8]=>0000001 [8,4,3,2,1,5,6,7]=>[7,6,5,1,2,3,4,8]=>0000001 [8,3,4,2,1,5,6,7]=>[7,6,5,1,2,4,3,8]=>0000001 [8,4,2,3,1,5,6,7]=>[7,6,5,1,3,2,4,8]=>0000001 [8,3,2,4,1,5,6,7]=>[7,6,5,1,4,2,3,8]=>0000001 [8,2,3,4,1,5,6,7]=>[7,6,5,1,4,3,2,8]=>0000001 [8,1,2,3,4,5,6,7]=>[7,6,5,4,3,2,1,8]=>0000001 [5,6,7,4,3,2,1,8]=>[8,1,2,3,4,7,6,5]=>0000000 [7,4,5,6,3,2,1,8]=>[8,1,2,3,6,5,4,7]=>0000000 [4,5,6,7,3,2,1,8]=>[8,1,2,3,7,6,5,4]=>0000000 [6,7,5,3,4,2,1,8]=>[8,1,2,4,3,5,7,6]=>0000000 [5,6,7,3,4,2,1,8]=>[8,1,2,4,3,7,6,5]=>0000000 [7,3,4,5,6,2,1,8]=>[8,1,2,6,5,4,3,7]=>0000000 [6,5,4,3,7,2,1,8]=>[8,1,2,7,3,4,5,6]=>0000000 [5,4,6,3,7,2,1,8]=>[8,1,2,7,3,6,4,5]=>0000000 [4,5,6,3,7,2,1,8]=>[8,1,2,7,3,6,5,4]=>0000000 [5,4,3,6,7,2,1,8]=>[8,1,2,7,6,3,4,5]=>0000000 [4,5,3,6,7,2,1,8]=>[8,1,2,7,6,3,5,4]=>0000000 [3,4,5,6,7,2,1,8]=>[8,1,2,7,6,5,4,3]=>0000000 [5,6,7,4,2,3,1,8]=>[8,1,3,2,4,7,6,5]=>0000000 [7,6,4,5,2,3,1,8]=>[8,1,3,2,5,4,6,7]=>0000000 [6,7,4,5,2,3,1,8]=>[8,1,3,2,5,4,7,6]=>0000000 [7,4,5,6,2,3,1,8]=>[8,1,3,2,6,5,4,7]=>0000000 [5,6,7,3,2,4,1,8]=>[8,1,4,2,3,7,6,5]=>0000000 [7,6,5,2,3,4,1,8]=>[8,1,4,3,2,5,6,7]=>0000000 [6,7,5,2,3,4,1,8]=>[8,1,4,3,2,5,7,6]=>0000000 [7,5,6,2,3,4,1,8]=>[8,1,4,3,2,6,5,7]=>0000000 [6,5,7,2,3,4,1,8]=>[8,1,4,3,2,7,5,6]=>0000000 [5,6,7,2,3,4,1,8]=>[8,1,4,3,2,7,6,5]=>0000000 [7,6,4,2,3,5,1,8]=>[8,1,5,3,2,4,6,7]=>0000000 [6,7,4,2,3,5,1,8]=>[8,1,5,3,2,4,7,6]=>0000000 [7,6,3,2,4,5,1,8]=>[8,1,5,4,2,3,6,7]=>0000000 [7,6,2,3,4,5,1,8]=>[8,1,5,4,3,2,6,7]=>0000000 [7,5,4,3,2,6,1,8]=>[8,1,6,2,3,4,5,7]=>0000000 [7,4,5,2,3,6,1,8]=>[8,1,6,3,2,5,4,7]=>0000000 [7,5,3,2,4,6,1,8]=>[8,1,6,4,2,3,5,7]=>0000000 [5,4,6,3,2,7,1,8]=>[8,1,7,2,3,6,4,5]=>0000000 [4,5,6,3,2,7,1,8]=>[8,1,7,2,3,6,5,4]=>0000000 [6,3,4,5,2,7,1,8]=>[8,1,7,2,5,4,3,6]=>0000000 [5,4,3,6,2,7,1,8]=>[8,1,7,2,6,3,4,5]=>0000000 [4,5,3,6,2,7,1,8]=>[8,1,7,2,6,3,5,4]=>0000000 [5,3,4,6,2,7,1,8]=>[8,1,7,2,6,4,3,5]=>0000000 [3,4,5,6,2,7,1,8]=>[8,1,7,2,6,5,4,3]=>0000000 [4,5,6,2,3,7,1,8]=>[8,1,7,3,2,6,5,4]=>0000000 [6,5,3,2,4,7,1,8]=>[8,1,7,4,2,3,5,6]=>0000000 [5,6,3,2,4,7,1,8]=>[8,1,7,4,2,3,6,5]=>0000000 [5,6,2,3,4,7,1,8]=>[8,1,7,4,3,2,6,5]=>0000000 [6,3,4,2,5,7,1,8]=>[8,1,7,5,2,4,3,6]=>0000000 [6,4,2,3,5,7,1,8]=>[8,1,7,5,3,2,4,6]=>0000000 [5,4,3,2,6,7,1,8]=>[8,1,7,6,2,3,4,5]=>0000000 [3,4,5,2,6,7,1,8]=>[8,1,7,6,2,5,4,3]=>0000000 [2,3,4,5,6,7,1,8]=>[8,1,7,6,5,4,3,2]=>0000000 [7,4,5,6,3,1,2,8]=>[8,2,1,3,6,5,4,7]=>0000000 [6,5,4,3,7,1,2,8]=>[8,2,1,7,3,4,5,6]=>0000000 [6,4,3,5,7,1,2,8]=>[8,2,1,7,5,3,4,6]=>0000000 [5,4,3,6,7,1,2,8]=>[8,2,1,7,6,3,4,5]=>0000000 [3,4,5,6,7,1,2,8]=>[8,2,1,7,6,5,4,3]=>0000000 [6,7,4,5,2,1,3,8]=>[8,3,1,2,5,4,7,6]=>0000000 [7,4,5,6,2,1,3,8]=>[8,3,1,2,6,5,4,7]=>0000000 [4,5,6,7,2,1,3,8]=>[8,3,1,2,7,6,5,4]=>0000000 [7,6,5,4,1,2,3,8]=>[8,3,2,1,4,5,6,7]=>0000000 [7,5,6,4,1,2,3,8]=>[8,3,2,1,4,6,5,7]=>0000000 [5,6,7,4,1,2,3,8]=>[8,3,2,1,4,7,6,5]=>0000000 [7,6,4,5,1,2,3,8]=>[8,3,2,1,5,4,6,7]=>0000000 [6,7,4,5,1,2,3,8]=>[8,3,2,1,5,4,7,6]=>0000000 [7,5,4,6,1,2,3,8]=>[8,3,2,1,6,4,5,7]=>0000000 [7,4,5,6,1,2,3,8]=>[8,3,2,1,6,5,4,7]=>0000000 [6,5,4,7,1,2,3,8]=>[8,3,2,1,7,4,5,6]=>0000000 [5,6,4,7,1,2,3,8]=>[8,3,2,1,7,4,6,5]=>0000000 [5,4,6,7,1,2,3,8]=>[8,3,2,1,7,6,4,5]=>0000000 [4,5,6,7,1,2,3,8]=>[8,3,2,1,7,6,5,4]=>0000000 [6,7,5,3,1,2,4,8]=>[8,4,2,1,3,5,7,6]=>0000000 [7,5,6,3,1,2,4,8]=>[8,4,2,1,3,6,5,7]=>0000000 [5,6,7,3,1,2,4,8]=>[8,4,2,1,3,7,6,5]=>0000000 [5,6,7,2,1,3,4,8]=>[8,4,3,1,2,7,6,5]=>0000000 [7,6,5,1,2,3,4,8]=>[8,4,3,2,1,5,6,7]=>0000000 [6,7,5,1,2,3,4,8]=>[8,4,3,2,1,5,7,6]=>0000000 [7,5,6,1,2,3,4,8]=>[8,4,3,2,1,6,5,7]=>0000000 [6,5,7,1,2,3,4,8]=>[8,4,3,2,1,7,5,6]=>0000000 [5,6,7,1,2,3,4,8]=>[8,4,3,2,1,7,6,5]=>0000000 [7,6,3,4,2,1,5,8]=>[8,5,1,2,4,3,6,7]=>0000000 [7,6,4,2,3,1,5,8]=>[8,5,1,3,2,4,6,7]=>0000000 [6,7,4,2,3,1,5,8]=>[8,5,1,3,2,4,7,6]=>0000000 [7,6,3,2,4,1,5,8]=>[8,5,1,4,2,3,6,7]=>0000000 [7,6,3,1,2,4,5,8]=>[8,5,4,2,1,3,6,7]=>0000000 [7,5,3,2,4,1,6,8]=>[8,6,1,4,2,3,5,7]=>0000000 [7,5,2,3,4,1,6,8]=>[8,6,1,4,3,2,5,7]=>0000000 [7,3,4,2,5,1,6,8]=>[8,6,1,5,2,4,3,7]=>0000000 [7,4,2,3,5,1,6,8]=>[8,6,1,5,3,2,4,7]=>0000000 [7,2,3,4,5,1,6,8]=>[8,6,1,5,4,3,2,7]=>0000000 [7,4,3,5,1,2,6,8]=>[8,6,2,1,5,3,4,7]=>0000000 [7,3,4,5,1,2,6,8]=>[8,6,2,1,5,4,3,7]=>0000000 [7,5,4,1,2,3,6,8]=>[8,6,3,2,1,4,5,7]=>0000000 [7,5,2,3,1,4,6,8]=>[8,6,4,1,3,2,5,7]=>0000000 [7,5,3,1,2,4,6,8]=>[8,6,4,2,1,3,5,7]=>0000000 [7,5,1,2,3,4,6,8]=>[8,6,4,3,2,1,5,7]=>0000000 [7,4,3,2,1,5,6,8]=>[8,6,5,1,2,3,4,7]=>0000000 [7,2,3,4,1,5,6,8]=>[8,6,5,1,4,3,2,7]=>0000000 [7,3,1,2,4,5,6,8]=>[8,6,5,4,2,1,3,7]=>0000000 [7,1,2,3,4,5,6,8]=>[8,6,5,4,3,2,1,7]=>0000000 [5,4,6,3,2,1,7,8]=>[8,7,1,2,3,6,4,5]=>0000000 [6,3,4,5,2,1,7,8]=>[8,7,1,2,5,4,3,6]=>0000000 [5,4,3,6,2,1,7,8]=>[8,7,1,2,6,3,4,5]=>0000000 [3,4,5,6,2,1,7,8]=>[8,7,1,2,6,5,4,3]=>0000000 [5,6,4,2,3,1,7,8]=>[8,7,1,3,2,4,6,5]=>0000000 [6,4,5,2,3,1,7,8]=>[8,7,1,3,2,5,4,6]=>0000000 [5,4,6,2,3,1,7,8]=>[8,7,1,3,2,6,4,5]=>0000000 [5,4,3,2,6,1,7,8]=>[8,7,1,6,2,3,4,5]=>0000000 [4,5,3,2,6,1,7,8]=>[8,7,1,6,2,3,5,4]=>0000000 [3,4,5,2,6,1,7,8]=>[8,7,1,6,2,5,4,3]=>0000000 [2,3,4,5,6,1,7,8]=>[8,7,1,6,5,4,3,2]=>0000000 [6,5,4,3,1,2,7,8]=>[8,7,2,1,3,4,5,6]=>0000000 [5,6,4,3,1,2,7,8]=>[8,7,2,1,3,4,6,5]=>0000000 [5,4,6,3,1,2,7,8]=>[8,7,2,1,3,6,4,5]=>0000000 [4,5,6,3,1,2,7,8]=>[8,7,2,1,3,6,5,4]=>0000000 [5,6,3,4,1,2,7,8]=>[8,7,2,1,4,3,6,5]=>0000000 [5,4,3,6,1,2,7,8]=>[8,7,2,1,6,3,4,5]=>0000000 [5,6,4,2,1,3,7,8]=>[8,7,3,1,2,4,6,5]=>0000000 [5,4,6,2,1,3,7,8]=>[8,7,3,1,2,6,4,5]=>0000000 [6,5,4,1,2,3,7,8]=>[8,7,3,2,1,4,5,6]=>0000000 [5,6,4,1,2,3,7,8]=>[8,7,3,2,1,4,6,5]=>0000000 [4,5,6,1,2,3,7,8]=>[8,7,3,2,1,6,5,4]=>0000000 [5,6,3,2,1,4,7,8]=>[8,7,4,1,2,3,6,5]=>0000000 [6,4,3,2,1,5,7,8]=>[8,7,5,1,2,3,4,6]=>0000000 [6,3,2,4,1,5,7,8]=>[8,7,5,1,4,2,3,6]=>0000000 [6,2,3,4,1,5,7,8]=>[8,7,5,1,4,3,2,6]=>0000000 [6,4,3,1,2,5,7,8]=>[8,7,5,2,1,3,4,6]=>0000000 [6,1,2,3,4,5,7,8]=>[8,7,5,4,3,2,1,6]=>0000000 [5,4,3,2,1,6,7,8]=>[8,7,6,1,2,3,4,5]=>0000000 [4,5,3,2,1,6,7,8]=>[8,7,6,1,2,3,5,4]=>0000000 [5,3,4,2,1,6,7,8]=>[8,7,6,1,2,4,3,5]=>0000000 [4,3,5,2,1,6,7,8]=>[8,7,6,1,2,5,3,4]=>0000000 [3,4,5,2,1,6,7,8]=>[8,7,6,1,2,5,4,3]=>0000000 [5,4,2,3,1,6,7,8]=>[8,7,6,1,3,2,4,5]=>0000000 [4,5,2,3,1,6,7,8]=>[8,7,6,1,3,2,5,4]=>0000000 [5,3,2,4,1,6,7,8]=>[8,7,6,1,4,2,3,5]=>0000000 [5,2,3,4,1,6,7,8]=>[8,7,6,1,4,3,2,5]=>0000000 [4,3,2,5,1,6,7,8]=>[8,7,6,1,5,2,3,4]=>0000000 [3,4,2,5,1,6,7,8]=>[8,7,6,1,5,2,4,3]=>0000000 [4,2,3,5,1,6,7,8]=>[8,7,6,1,5,3,2,4]=>0000000 [3,2,4,5,1,6,7,8]=>[8,7,6,1,5,4,2,3]=>0000000 [2,3,4,5,1,6,7,8]=>[8,7,6,1,5,4,3,2]=>0000000 [5,4,3,1,2,6,7,8]=>[8,7,6,2,1,3,4,5]=>0000000 [5,3,4,1,2,6,7,8]=>[8,7,6,2,1,4,3,5]=>0000000 [5,4,2,1,3,6,7,8]=>[8,7,6,3,1,2,4,5]=>0000000 [5,4,1,2,3,6,7,8]=>[8,7,6,3,2,1,4,5]=>0000000 [5,3,2,1,4,6,7,8]=>[8,7,6,4,1,2,3,5]=>0000000 [5,2,3,1,4,6,7,8]=>[8,7,6,4,1,3,2,5]=>0000000 [5,3,1,2,4,6,7,8]=>[8,7,6,4,2,1,3,5]=>0000000 [5,2,1,3,4,6,7,8]=>[8,7,6,4,3,1,2,5]=>0000000 [5,1,2,3,4,6,7,8]=>[8,7,6,4,3,2,1,5]=>0000000 [4,3,2,1,5,6,7,8]=>[8,7,6,5,1,2,3,4]=>0000000 [3,2,4,1,5,6,7,8]=>[8,7,6,5,1,4,2,3]=>0000000 [2,3,4,1,5,6,7,8]=>[8,7,6,5,1,4,3,2]=>0000000 [4,3,1,2,5,6,7,8]=>[8,7,6,5,2,1,3,4]=>0000000 [3,4,1,2,5,6,7,8]=>[8,7,6,5,2,1,4,3]=>0000000 [4,1,2,3,5,6,7,8]=>[8,7,6,5,3,2,1,4]=>0000000 [3,1,2,4,5,6,7,8]=>[8,7,6,5,4,2,1,3]=>0000000 [1,2,3,4,5,6,7,8]=>[8,7,6,5,4,3,2,1]=>0000000 [6,8,7,5,4,3,2,1]=>[1,2,3,4,5,7,8,6]=>1111100 [5,8,7,6,4,3,2,1]=>[1,2,3,4,6,7,8,5]=>1111000 [5,7,8,6,4,3,2,1]=>[1,2,3,4,6,8,7,5]=>1111000 [6,5,8,7,4,3,2,1]=>[1,2,3,4,7,8,5,6]=>1111000 [5,6,8,7,4,3,2,1]=>[1,2,3,4,7,8,6,5]=>1111000 [5,7,6,8,4,3,2,1]=>[1,2,3,4,8,6,7,5]=>1111000 [4,8,7,6,5,3,2,1]=>[1,2,3,5,6,7,8,4]=>1110000 [4,7,8,6,5,3,2,1]=>[1,2,3,5,6,8,7,4]=>1110000 [4,6,8,7,5,3,2,1]=>[1,2,3,5,7,8,6,4]=>1110000 [4,7,6,8,5,3,2,1]=>[1,2,3,5,8,6,7,4]=>1110000 [4,6,7,8,5,3,2,1]=>[1,2,3,5,8,7,6,4]=>1110000 [5,4,8,7,6,3,2,1]=>[1,2,3,6,7,8,4,5]=>1110000 [5,4,7,8,6,3,2,1]=>[1,2,3,6,8,7,4,5]=>1110000 [4,5,8,7,6,3,2,1]=>[1,2,3,6,7,8,5,4]=>1110000 [4,5,7,8,6,3,2,1]=>[1,2,3,6,8,7,5,4]=>1110000 [6,5,4,8,7,3,2,1]=>[1,2,3,7,8,4,5,6]=>1110000 [5,6,4,8,7,3,2,1]=>[1,2,3,7,8,4,6,5]=>1110000 [4,6,5,8,7,3,2,1]=>[1,2,3,7,8,5,6,4]=>1110000 [5,4,6,8,7,3,2,1]=>[1,2,3,7,8,6,4,5]=>1110000 [4,5,6,8,7,3,2,1]=>[1,2,3,7,8,6,5,4]=>1110000 [5,7,6,4,8,3,2,1]=>[1,2,3,8,4,6,7,5]=>1110000 [4,7,6,5,8,3,2,1]=>[1,2,3,8,5,6,7,4]=>1110000 [4,6,7,5,8,3,2,1]=>[1,2,3,8,5,7,6,4]=>1110000 [5,4,7,6,8,3,2,1]=>[1,2,3,8,6,7,4,5]=>1110000 [4,5,7,6,8,3,2,1]=>[1,2,3,8,6,7,5,4]=>1110000 [4,6,5,7,8,3,2,1]=>[1,2,3,8,7,5,6,4]=>1110000 [3,7,6,8,5,4,2,1]=>[1,2,4,5,8,6,7,3]=>1100000 [3,5,7,8,6,4,2,1]=>[1,2,4,6,8,7,5,3]=>1100000 [3,5,6,8,7,4,2,1]=>[1,2,4,7,8,6,5,3]=>1100000 [3,5,6,7,8,4,2,1]=>[1,2,4,8,7,6,5,3]=>1100000 [4,3,7,8,6,5,2,1]=>[1,2,5,6,8,7,3,4]=>1100000 [4,3,6,8,7,5,2,1]=>[1,2,5,7,8,6,3,4]=>1100000 [4,3,6,7,8,5,2,1]=>[1,2,5,8,7,6,3,4]=>1100000 [5,4,3,8,7,6,2,1]=>[1,2,6,7,8,3,4,5]=>1100000 [5,4,3,7,8,6,2,1]=>[1,2,6,8,7,3,4,5]=>1100000 [4,5,3,8,7,6,2,1]=>[1,2,6,7,8,3,5,4]=>1100000 [4,5,3,7,8,6,2,1]=>[1,2,6,8,7,3,5,4]=>1100000 [4,3,5,8,7,6,2,1]=>[1,2,6,7,8,5,3,4]=>1100000 [4,3,5,7,8,6,2,1]=>[1,2,6,8,7,5,3,4]=>1100000 [3,4,5,8,7,6,2,1]=>[1,2,6,7,8,5,4,3]=>1100000 [6,5,4,3,8,7,2,1]=>[1,2,7,8,3,4,5,6]=>1100000 [5,6,4,3,8,7,2,1]=>[1,2,7,8,3,4,6,5]=>1100000 [5,4,6,3,8,7,2,1]=>[1,2,7,8,3,6,4,5]=>1100000 [4,5,6,3,8,7,2,1]=>[1,2,7,8,3,6,5,4]=>1100000 [4,3,6,5,8,7,2,1]=>[1,2,7,8,5,6,3,4]=>1100000 [5,4,3,6,8,7,2,1]=>[1,2,7,8,6,3,4,5]=>1100000 [4,5,3,6,8,7,2,1]=>[1,2,7,8,6,3,5,4]=>1100000 [4,3,5,6,8,7,2,1]=>[1,2,7,8,6,5,3,4]=>1100000 [5,7,6,4,3,8,2,1]=>[1,2,8,3,4,6,7,5]=>1100000 [4,7,6,5,3,8,2,1]=>[1,2,8,3,5,6,7,4]=>1100000 [4,6,7,5,3,8,2,1]=>[1,2,8,3,5,7,6,4]=>1100000 [3,7,6,5,4,8,2,1]=>[1,2,8,4,5,6,7,3]=>1100000 [4,3,7,6,5,8,2,1]=>[1,2,8,5,6,7,3,4]=>1100000 [4,5,3,7,6,8,2,1]=>[1,2,8,6,7,3,5,4]=>1100000 [4,3,5,7,6,8,2,1]=>[1,2,8,6,7,5,3,4]=>1100000 [3,4,5,7,6,8,2,1]=>[1,2,8,6,7,5,4,3]=>1100000 [2,5,8,7,6,4,3,1]=>[1,3,4,6,7,8,5,2]=>1000000 [2,5,6,7,8,4,3,1]=>[1,3,4,8,7,6,5,2]=>1000000 [2,4,8,7,6,5,3,1]=>[1,3,5,6,7,8,4,2]=>1000000 [2,4,6,8,7,5,3,1]=>[1,3,5,7,8,6,4,2]=>1000000 [2,4,6,7,8,5,3,1]=>[1,3,5,8,7,6,4,2]=>1000000 [2,4,5,8,7,6,3,1]=>[1,3,6,7,8,5,4,2]=>1000000 [2,4,5,7,8,6,3,1]=>[1,3,6,8,7,5,4,2]=>1000000 [2,4,6,5,8,7,3,1]=>[1,3,7,8,5,6,4,2]=>1000000 [2,7,6,5,4,8,3,1]=>[1,3,8,4,5,6,7,2]=>1000000 [2,5,7,6,4,8,3,1]=>[1,3,8,4,6,7,5,2]=>1000000 [2,4,7,6,5,8,3,1]=>[1,3,8,5,6,7,4,2]=>1000000 [2,4,6,7,5,8,3,1]=>[1,3,8,5,7,6,4,2]=>1000000 [2,4,6,5,7,8,3,1]=>[1,3,8,7,5,6,4,2]=>1000000 [2,4,5,6,7,8,3,1]=>[1,3,8,7,6,5,4,2]=>1000000 [3,2,7,6,5,8,4,1]=>[1,4,8,5,6,7,2,3]=>1000000 [2,3,7,6,8,5,4,1]=>[1,4,5,8,6,7,3,2]=>1000000 [2,3,5,8,7,6,4,1]=>[1,4,6,7,8,5,3,2]=>1000000 [2,3,5,7,8,6,4,1]=>[1,4,6,8,7,5,3,2]=>1000000 [2,3,5,6,8,7,4,1]=>[1,4,7,8,6,5,3,2]=>1000000 [2,3,6,7,5,8,4,1]=>[1,4,8,5,7,6,3,2]=>1000000 [2,3,5,7,6,8,4,1]=>[1,4,8,6,7,5,3,2]=>1000000 [2,3,5,6,7,8,4,1]=>[1,4,8,7,6,5,3,2]=>1000000 [4,3,2,8,7,6,5,1]=>[1,5,6,7,8,2,3,4]=>1000000 [4,3,2,7,8,6,5,1]=>[1,5,6,8,7,2,3,4]=>1000000 [4,3,2,6,8,7,5,1]=>[1,5,7,8,6,2,3,4]=>1000000 [4,3,2,6,7,8,5,1]=>[1,5,8,7,6,2,3,4]=>1000000 [3,4,2,8,7,6,5,1]=>[1,5,6,7,8,2,4,3]=>1000000 [3,4,2,6,7,8,5,1]=>[1,5,8,7,6,2,4,3]=>1000000 [2,4,3,6,8,7,5,1]=>[1,5,7,8,6,3,4,2]=>1000000 [3,2,4,8,7,6,5,1]=>[1,5,6,7,8,4,2,3]=>1000000 [3,2,4,6,8,7,5,1]=>[1,5,7,8,6,4,2,3]=>1000000 [2,3,4,8,7,6,5,1]=>[1,5,6,7,8,4,3,2]=>1000000 [5,4,3,2,8,7,6,1]=>[1,6,7,8,2,3,4,5]=>1000000 [5,4,3,2,7,8,6,1]=>[1,6,8,7,2,3,4,5]=>1000000 [4,5,3,2,8,7,6,1]=>[1,6,7,8,2,3,5,4]=>1000000 [4,3,5,2,8,7,6,1]=>[1,6,7,8,2,5,3,4]=>1000000 [3,4,5,2,7,8,6,1]=>[1,6,8,7,2,5,4,3]=>1000000 [2,5,4,3,8,7,6,1]=>[1,6,7,8,3,4,5,2]=>1000000 [2,5,4,3,7,8,6,1]=>[1,6,8,7,3,4,5,2]=>1000000 [2,4,5,3,8,7,6,1]=>[1,6,7,8,3,5,4,2]=>1000000 [2,3,5,4,8,7,6,1]=>[1,6,7,8,4,5,3,2]=>1000000 [2,3,5,4,7,8,6,1]=>[1,6,8,7,4,5,3,2]=>1000000 [4,3,2,5,8,7,6,1]=>[1,6,7,8,5,2,3,4]=>1000000 [4,3,2,5,7,8,6,1]=>[1,6,8,7,5,2,3,4]=>1000000 [2,4,3,5,8,7,6,1]=>[1,6,7,8,5,3,4,2]=>1000000 [2,3,4,5,8,7,6,1]=>[1,6,7,8,5,4,3,2]=>1000000 [2,3,4,5,7,8,6,1]=>[1,6,8,7,5,4,3,2]=>1000000 [6,5,4,3,2,8,7,1]=>[1,7,8,2,3,4,5,6]=>1000000 [5,4,6,3,2,8,7,1]=>[1,7,8,2,3,6,4,5]=>1000000 [4,5,6,3,2,8,7,1]=>[1,7,8,2,3,6,5,4]=>1000000 [3,6,5,4,2,8,7,1]=>[1,7,8,2,4,5,6,3]=>1000000 [3,5,4,6,2,8,7,1]=>[1,7,8,2,6,4,5,3]=>1000000 [2,6,5,4,3,8,7,1]=>[1,7,8,3,4,5,6,2]=>1000000 [2,4,6,5,3,8,7,1]=>[1,7,8,3,5,6,4,2]=>1000000 [2,4,5,6,3,8,7,1]=>[1,7,8,3,6,5,4,2]=>1000000 [3,2,6,5,4,8,7,1]=>[1,7,8,4,5,6,2,3]=>1000000 [2,4,3,6,5,8,7,1]=>[1,7,8,5,6,3,4,2]=>1000000 [3,2,4,6,5,8,7,1]=>[1,7,8,5,6,4,2,3]=>1000000 [5,4,3,2,6,8,7,1]=>[1,7,8,6,2,3,4,5]=>1000000 [3,4,5,2,6,8,7,1]=>[1,7,8,6,2,5,4,3]=>1000000 [2,5,4,3,6,8,7,1]=>[1,7,8,6,3,4,5,2]=>1000000 [2,4,5,3,6,8,7,1]=>[1,7,8,6,3,5,4,2]=>1000000 [2,3,4,5,6,8,7,1]=>[1,7,8,6,5,4,3,2]=>1000000 [5,7,6,4,3,2,8,1]=>[1,8,2,3,4,6,7,5]=>1000000 [4,7,6,5,3,2,8,1]=>[1,8,2,3,5,6,7,4]=>1000000 [3,7,6,5,4,2,8,1]=>[1,8,2,4,5,6,7,3]=>1000000 [3,6,7,5,4,2,8,1]=>[1,8,2,4,5,7,6,3]=>1000000 [4,3,7,6,5,2,8,1]=>[1,8,2,5,6,7,3,4]=>1000000 [3,4,7,6,5,2,8,1]=>[1,8,2,5,6,7,4,3]=>1000000 [3,6,5,4,7,2,8,1]=>[1,8,2,7,4,5,6,3]=>1000000 [4,3,6,5,7,2,8,1]=>[1,8,2,7,5,6,3,4]=>1000000 [3,5,4,6,7,2,8,1]=>[1,8,2,7,6,4,5,3]=>1000000 [2,5,7,6,4,3,8,1]=>[1,8,3,4,6,7,5,2]=>1000000 [2,4,6,7,5,3,8,1]=>[1,8,3,5,7,6,4,2]=>1000000 [2,5,4,7,6,3,8,1]=>[1,8,3,6,7,4,5,2]=>1000000 [2,5,4,6,7,3,8,1]=>[1,8,3,7,6,4,5,2]=>1000000 [2,4,5,6,7,3,8,1]=>[1,8,3,7,6,5,4,2]=>1000000 [3,2,6,7,5,4,8,1]=>[1,8,4,5,7,6,2,3]=>1000000 [3,2,5,7,6,4,8,1]=>[1,8,4,6,7,5,2,3]=>1000000 [3,2,6,5,7,4,8,1]=>[1,8,4,7,5,6,2,3]=>1000000 [3,2,5,6,7,4,8,1]=>[1,8,4,7,6,5,2,3]=>1000000 [2,3,7,6,5,4,8,1]=>[1,8,4,5,6,7,3,2]=>1000000 [2,3,5,7,6,4,8,1]=>[1,8,4,6,7,5,3,2]=>1000000 [2,3,5,6,7,4,8,1]=>[1,8,4,7,6,5,3,2]=>1000000 [4,3,2,6,7,5,8,1]=>[1,8,5,7,6,2,3,4]=>1000000 [5,4,3,2,7,6,8,1]=>[1,8,6,7,2,3,4,5]=>1000000 [4,3,5,2,7,6,8,1]=>[1,8,6,7,2,5,3,4]=>1000000 [3,4,5,2,7,6,8,1]=>[1,8,6,7,2,5,4,3]=>1000000 [2,5,4,3,7,6,8,1]=>[1,8,6,7,3,4,5,2]=>1000000 [3,2,5,4,7,6,8,1]=>[1,8,6,7,4,5,2,3]=>1000000 [2,3,5,4,7,6,8,1]=>[1,8,6,7,4,5,3,2]=>1000000 [4,3,2,5,7,6,8,1]=>[1,8,6,7,5,2,3,4]=>1000000 [2,3,4,5,7,6,8,1]=>[1,8,6,7,5,4,3,2]=>1000000 [3,6,5,4,2,7,8,1]=>[1,8,7,2,4,5,6,3]=>1000000 [3,5,4,6,2,7,8,1]=>[1,8,7,2,6,4,5,3]=>1000000 [2,6,5,4,3,7,8,1]=>[1,8,7,3,4,5,6,2]=>1000000 [2,5,6,4,3,7,8,1]=>[1,8,7,3,4,6,5,2]=>1000000 [3,2,6,5,4,7,8,1]=>[1,8,7,4,5,6,2,3]=>1000000 [2,3,4,6,5,7,8,1]=>[1,8,7,5,6,4,3,2]=>1000000 [2,5,4,3,6,7,8,1]=>[1,8,7,6,3,4,5,2]=>1000000 [1,8,7,6,5,4,3,2]=>[2,3,4,5,6,7,8,1]=>0000000 [1,7,8,6,5,4,3,2]=>[2,3,4,5,6,8,7,1]=>0000000 [1,5,6,7,8,4,3,2]=>[2,3,4,8,7,6,5,1]=>0000000 [1,4,8,7,6,5,3,2]=>[2,3,5,6,7,8,4,1]=>0000000 [1,4,6,7,8,5,3,2]=>[2,3,5,8,7,6,4,1]=>0000000 [1,7,6,5,4,8,3,2]=>[2,3,8,4,5,6,7,1]=>0000000 [1,6,5,4,7,8,3,2]=>[2,3,8,7,4,5,6,1]=>0000000 [1,4,5,6,7,8,3,2]=>[2,3,8,7,6,5,4,1]=>0000000 [1,3,5,7,8,6,4,2]=>[2,4,6,8,7,5,3,1]=>0000000 [1,3,6,5,8,7,4,2]=>[2,4,7,8,5,6,3,1]=>0000000 [1,3,6,7,5,8,4,2]=>[2,4,8,5,7,6,3,1]=>0000000 [1,3,5,6,7,8,4,2]=>[2,4,8,7,6,5,3,1]=>0000000 [1,4,3,7,6,8,5,2]=>[2,5,8,6,7,3,4,1]=>0000000 [1,3,4,8,7,6,5,2]=>[2,5,6,7,8,4,3,1]=>0000000 [1,4,3,5,8,7,6,2]=>[2,6,7,8,5,3,4,1]=>0000000 [1,3,6,5,4,8,7,2]=>[2,7,8,4,5,6,3,1]=>0000000 [1,4,3,6,5,8,7,2]=>[2,7,8,5,6,3,4,1]=>0000000 [1,4,6,7,5,3,8,2]=>[2,8,3,5,7,6,4,1]=>0000000 [1,5,6,4,7,3,8,2]=>[2,8,3,7,4,6,5,1]=>0000000 [1,6,5,4,3,7,8,2]=>[2,8,7,3,4,5,6,1]=>0000000 [1,3,4,6,5,7,8,2]=>[2,8,7,5,6,4,3,1]=>0000000 [1,3,4,5,6,7,8,2]=>[2,8,7,6,5,4,3,1]=>0000000 [2,1,8,7,6,5,4,3]=>[3,4,5,6,7,8,1,2]=>0000000 [2,1,7,8,6,5,4,3]=>[3,4,5,6,8,7,1,2]=>0000000 [2,1,6,8,7,5,4,3]=>[3,4,5,7,8,6,1,2]=>0000000 [2,1,7,6,8,5,4,3]=>[3,4,5,8,6,7,1,2]=>0000000 [2,1,6,7,8,5,4,3]=>[3,4,5,8,7,6,1,2]=>0000000 [2,1,5,8,7,6,4,3]=>[3,4,6,7,8,5,1,2]=>0000000 [2,1,5,7,8,6,4,3]=>[3,4,6,8,7,5,1,2]=>0000000 [2,1,7,6,5,8,4,3]=>[3,4,8,5,6,7,1,2]=>0000000 [2,1,6,7,5,8,4,3]=>[3,4,8,5,7,6,1,2]=>0000000 [2,1,5,6,7,8,4,3]=>[3,4,8,7,6,5,1,2]=>0000000 [2,1,4,8,7,6,5,3]=>[3,5,6,7,8,4,1,2]=>0000000 [2,1,4,5,8,7,6,3]=>[3,6,7,8,5,4,1,2]=>0000000 [2,1,6,5,7,4,8,3]=>[3,8,4,7,5,6,1,2]=>0000000 [2,1,5,4,7,6,8,3]=>[3,8,6,7,4,5,1,2]=>0000000 [2,1,6,5,4,7,8,3]=>[3,8,7,4,5,6,1,2]=>0000000 [2,1,4,5,6,7,8,3]=>[3,8,7,6,5,4,1,2]=>0000000 [1,2,5,6,7,8,4,3]=>[3,4,8,7,6,5,2,1]=>0000000 [1,2,4,8,7,6,5,3]=>[3,5,6,7,8,4,2,1]=>0000000 [1,2,5,4,8,7,6,3]=>[3,6,7,8,4,5,2,1]=>0000000 [1,2,4,6,5,7,8,3]=>[3,8,7,5,6,4,2,1]=>0000000 [1,2,4,5,6,7,8,3]=>[3,8,7,6,5,4,2,1]=>0000000 [3,2,1,6,7,8,5,4]=>[4,5,8,7,6,1,2,3]=>0000000 [3,2,1,6,5,8,7,4]=>[4,7,8,5,6,1,2,3]=>0000000 [3,2,1,6,5,7,8,4]=>[4,8,7,5,6,1,2,3]=>0000000 [2,3,1,8,7,6,5,4]=>[4,5,6,7,8,1,3,2]=>0000000 [2,3,1,7,6,8,5,4]=>[4,5,8,6,7,1,3,2]=>0000000 [2,3,1,6,7,8,5,4]=>[4,5,8,7,6,1,3,2]=>0000000 [2,3,1,6,5,8,7,4]=>[4,7,8,5,6,1,3,2]=>0000000 [2,3,1,5,7,6,8,4]=>[4,8,6,7,5,1,3,2]=>0000000 [2,3,1,6,5,7,8,4]=>[4,8,7,5,6,1,3,2]=>0000000 [1,3,2,8,7,6,5,4]=>[4,5,6,7,8,2,3,1]=>0000000 [2,1,3,8,7,6,5,4]=>[4,5,6,7,8,3,1,2]=>0000000 [2,1,3,7,8,6,5,4]=>[4,5,6,8,7,3,1,2]=>0000000 [2,1,3,6,8,7,5,4]=>[4,5,7,8,6,3,1,2]=>0000000 [2,1,3,5,7,8,6,4]=>[4,6,8,7,5,3,1,2]=>0000000 [2,1,3,5,7,6,8,4]=>[4,8,6,7,5,3,1,2]=>0000000 [1,2,3,8,7,6,5,4]=>[4,5,6,7,8,3,2,1]=>0000000 [1,2,3,7,8,6,5,4]=>[4,5,6,8,7,3,2,1]=>0000000 [1,2,3,6,8,7,5,4]=>[4,5,7,8,6,3,2,1]=>0000000 [1,2,3,7,6,8,5,4]=>[4,5,8,6,7,3,2,1]=>0000000 [1,2,3,6,7,8,5,4]=>[4,5,8,7,6,3,2,1]=>0000000 [1,2,3,5,8,7,6,4]=>[4,6,7,8,5,3,2,1]=>0000000 [1,2,3,5,7,8,6,4]=>[4,6,8,7,5,3,2,1]=>0000000 [1,2,3,6,5,8,7,4]=>[4,7,8,5,6,3,2,1]=>0000000 [1,2,3,5,6,8,7,4]=>[4,7,8,6,5,3,2,1]=>0000000 [1,2,3,7,6,5,8,4]=>[4,8,5,6,7,3,2,1]=>0000000 [1,2,3,6,7,5,8,4]=>[4,8,5,7,6,3,2,1]=>0000000 [1,2,3,5,7,6,8,4]=>[4,8,6,7,5,3,2,1]=>0000000 [1,2,3,6,5,7,8,4]=>[4,8,7,5,6,3,2,1]=>0000000 [1,2,3,5,6,7,8,4]=>[4,8,7,6,5,3,2,1]=>0000000 [4,3,2,1,8,7,6,5]=>[5,6,7,8,1,2,3,4]=>0000000 [4,3,2,1,7,8,6,5]=>[5,6,8,7,1,2,3,4]=>0000000 [4,3,2,1,6,8,7,5]=>[5,7,8,6,1,2,3,4]=>0000000 [4,3,2,1,7,6,8,5]=>[5,8,6,7,1,2,3,4]=>0000000 [4,3,2,1,6,7,8,5]=>[5,8,7,6,1,2,3,4]=>0000000 [3,4,2,1,8,7,6,5]=>[5,6,7,8,1,2,4,3]=>0000000 [3,4,2,1,7,8,6,5]=>[5,6,8,7,1,2,4,3]=>0000000 [3,4,2,1,7,6,8,5]=>[5,8,6,7,1,2,4,3]=>0000000 [3,4,2,1,6,7,8,5]=>[5,8,7,6,1,2,4,3]=>0000000 [2,4,3,1,8,7,6,5]=>[5,6,7,8,1,3,4,2]=>0000000 [2,4,3,1,7,8,6,5]=>[5,6,8,7,1,3,4,2]=>0000000 [2,4,3,1,6,8,7,5]=>[5,7,8,6,1,3,4,2]=>0000000 [2,4,3,1,7,6,8,5]=>[5,8,6,7,1,3,4,2]=>0000000 [2,4,3,1,6,7,8,5]=>[5,8,7,6,1,3,4,2]=>0000000 [3,2,4,1,8,7,6,5]=>[5,6,7,8,1,4,2,3]=>0000000 [3,2,4,1,7,8,6,5]=>[5,6,8,7,1,4,2,3]=>0000000 [3,2,4,1,6,8,7,5]=>[5,7,8,6,1,4,2,3]=>0000000 [3,2,4,1,7,6,8,5]=>[5,8,6,7,1,4,2,3]=>0000000 [3,2,4,1,6,7,8,5]=>[5,8,7,6,1,4,2,3]=>0000000 [2,3,4,1,8,7,6,5]=>[5,6,7,8,1,4,3,2]=>0000000 [2,3,4,1,7,8,6,5]=>[5,6,8,7,1,4,3,2]=>0000000 [2,3,4,1,6,8,7,5]=>[5,7,8,6,1,4,3,2]=>0000000 [2,3,4,1,7,6,8,5]=>[5,8,6,7,1,4,3,2]=>0000000 [2,3,4,1,6,7,8,5]=>[5,8,7,6,1,4,3,2]=>0000000 [1,4,3,2,8,7,6,5]=>[5,6,7,8,2,3,4,1]=>0000000 [1,4,3,2,7,6,8,5]=>[5,8,6,7,2,3,4,1]=>0000000 [1,4,3,2,6,7,8,5]=>[5,8,7,6,2,3,4,1]=>0000000 [1,3,4,2,8,7,6,5]=>[5,6,7,8,2,4,3,1]=>0000000 [1,3,4,2,7,6,8,5]=>[5,8,6,7,2,4,3,1]=>0000000 [1,3,4,2,6,7,8,5]=>[5,8,7,6,2,4,3,1]=>0000000 [2,1,4,3,8,7,6,5]=>[5,6,7,8,3,4,1,2]=>0000000 [2,1,4,3,7,8,6,5]=>[5,6,8,7,3,4,1,2]=>0000000 [2,1,4,3,6,8,7,5]=>[5,7,8,6,3,4,1,2]=>0000000 [2,1,4,3,7,6,8,5]=>[5,8,6,7,3,4,1,2]=>0000000 [2,1,4,3,6,7,8,5]=>[5,8,7,6,3,4,1,2]=>0000000 [1,2,4,3,8,7,6,5]=>[5,6,7,8,3,4,2,1]=>0000000 [1,2,4,3,7,6,8,5]=>[5,8,6,7,3,4,2,1]=>0000000 [1,2,4,3,6,7,8,5]=>[5,8,7,6,3,4,2,1]=>0000000 [3,2,1,4,8,7,6,5]=>[5,6,7,8,4,1,2,3]=>0000000 [3,2,1,4,7,8,6,5]=>[5,6,8,7,4,1,2,3]=>0000000 [3,2,1,4,7,6,8,5]=>[5,8,6,7,4,1,2,3]=>0000000 [3,2,1,4,6,7,8,5]=>[5,8,7,6,4,1,2,3]=>0000000 [2,3,1,4,8,7,6,5]=>[5,6,7,8,4,1,3,2]=>0000000 [2,3,1,4,7,6,8,5]=>[5,8,6,7,4,1,3,2]=>0000000 [2,3,1,4,6,7,8,5]=>[5,8,7,6,4,1,3,2]=>0000000 [1,3,2,4,8,7,6,5]=>[5,6,7,8,4,2,3,1]=>0000000 [1,3,2,4,7,6,8,5]=>[5,8,6,7,4,2,3,1]=>0000000 [1,3,2,4,6,7,8,5]=>[5,8,7,6,4,2,3,1]=>0000000 [2,1,3,4,8,7,6,5]=>[5,6,7,8,4,3,1,2]=>0000000 [2,1,3,4,7,8,6,5]=>[5,6,8,7,4,3,1,2]=>0000000 [2,1,3,4,7,6,8,5]=>[5,8,6,7,4,3,1,2]=>0000000 [2,1,3,4,6,7,8,5]=>[5,8,7,6,4,3,1,2]=>0000000 [1,2,3,4,8,7,6,5]=>[5,6,7,8,4,3,2,1]=>0000000 [1,2,3,4,7,6,8,5]=>[5,8,6,7,4,3,2,1]=>0000000 [1,2,3,4,6,7,8,5]=>[5,8,7,6,4,3,2,1]=>0000000 [5,4,3,2,1,8,7,6]=>[6,7,8,1,2,3,4,5]=>0000000 [5,4,3,2,1,7,8,6]=>[6,8,7,1,2,3,4,5]=>0000000 [4,5,3,2,1,8,7,6]=>[6,7,8,1,2,3,5,4]=>0000000 [3,5,4,2,1,8,7,6]=>[6,7,8,1,2,4,5,3]=>0000000 [4,3,5,2,1,8,7,6]=>[6,7,8,1,2,5,3,4]=>0000000 [3,4,5,2,1,8,7,6]=>[6,7,8,1,2,5,4,3]=>0000000 [2,5,4,3,1,8,7,6]=>[6,7,8,1,3,4,5,2]=>0000000 [2,5,4,3,1,7,8,6]=>[6,8,7,1,3,4,5,2]=>0000000 [2,4,5,3,1,8,7,6]=>[6,7,8,1,3,5,4,2]=>0000000 [3,2,5,4,1,8,7,6]=>[6,7,8,1,4,5,2,3]=>0000000 [2,3,5,4,1,8,7,6]=>[6,7,8,1,4,5,3,2]=>0000000 [4,3,2,5,1,8,7,6]=>[6,7,8,1,5,2,3,4]=>0000000 [3,4,2,5,1,8,7,6]=>[6,7,8,1,5,2,4,3]=>0000000 [2,4,3,5,1,8,7,6]=>[6,7,8,1,5,3,4,2]=>0000000 [2,3,4,5,1,8,7,6]=>[6,7,8,1,5,4,3,2]=>0000000 [2,3,4,5,1,7,8,6]=>[6,8,7,1,5,4,3,2]=>0000000 [1,5,4,3,2,8,7,6]=>[6,7,8,2,3,4,5,1]=>0000000 [1,5,4,3,2,7,8,6]=>[6,8,7,2,3,4,5,1]=>0000000 [1,3,4,5,2,8,7,6]=>[6,7,8,2,5,4,3,1]=>0000000 [1,2,5,4,3,8,7,6]=>[6,7,8,3,4,5,2,1]=>0000000 [1,2,5,4,3,7,8,6]=>[6,8,7,3,4,5,2,1]=>0000000 [1,2,4,5,3,8,7,6]=>[6,7,8,3,5,4,2,1]=>0000000 [1,3,2,5,4,8,7,6]=>[6,7,8,4,5,2,3,1]=>0000000 [2,1,3,5,4,7,8,6]=>[6,8,7,4,5,3,1,2]=>0000000 [4,3,2,1,5,8,7,6]=>[6,7,8,5,1,2,3,4]=>0000000 [4,3,2,1,5,7,8,6]=>[6,8,7,5,1,2,3,4]=>0000000 [3,2,4,1,5,8,7,6]=>[6,7,8,5,1,4,2,3]=>0000000 [3,2,4,1,5,7,8,6]=>[6,8,7,5,1,4,2,3]=>0000000 [2,3,4,1,5,8,7,6]=>[6,7,8,5,1,4,3,2]=>0000000 [2,3,4,1,5,7,8,6]=>[6,8,7,5,1,4,3,2]=>0000000 [1,4,3,2,5,8,7,6]=>[6,7,8,5,2,3,4,1]=>0000000 [3,2,1,4,5,8,7,6]=>[6,7,8,5,4,1,2,3]=>0000000 [2,3,1,4,5,7,8,6]=>[6,8,7,5,4,1,3,2]=>0000000 [6,5,4,3,2,1,8,7]=>[7,8,1,2,3,4,5,6]=>0000000 [5,6,4,3,2,1,8,7]=>[7,8,1,2,3,4,6,5]=>0000000 [4,6,5,3,2,1,8,7]=>[7,8,1,2,3,5,6,4]=>0000000 [5,4,6,3,2,1,8,7]=>[7,8,1,2,3,6,4,5]=>0000000 [4,5,6,3,2,1,8,7]=>[7,8,1,2,3,6,5,4]=>0000000 [3,6,5,4,2,1,8,7]=>[7,8,1,2,4,5,6,3]=>0000000 [3,5,6,4,2,1,8,7]=>[7,8,1,2,4,6,5,3]=>0000000 [5,4,3,6,2,1,8,7]=>[7,8,1,2,6,3,4,5]=>0000000 [4,5,3,6,2,1,8,7]=>[7,8,1,2,6,3,5,4]=>0000000 [3,4,5,6,2,1,8,7]=>[7,8,1,2,6,5,4,3]=>0000000 [2,6,5,4,3,1,8,7]=>[7,8,1,3,4,5,6,2]=>0000000 [2,3,6,5,4,1,8,7]=>[7,8,1,4,5,6,3,2]=>0000000 [5,4,3,2,6,1,8,7]=>[7,8,1,6,2,3,4,5]=>0000000 [4,5,3,2,6,1,8,7]=>[7,8,1,6,2,3,5,4]=>0000000 [3,5,4,2,6,1,8,7]=>[7,8,1,6,2,4,5,3]=>0000000 [4,3,5,2,6,1,8,7]=>[7,8,1,6,2,5,3,4]=>0000000 [3,4,5,2,6,1,8,7]=>[7,8,1,6,2,5,4,3]=>0000000 [2,4,5,3,6,1,8,7]=>[7,8,1,6,3,5,4,2]=>0000000 [3,2,5,4,6,1,8,7]=>[7,8,1,6,4,5,2,3]=>0000000 [4,3,2,5,6,1,8,7]=>[7,8,1,6,5,2,3,4]=>0000000 [2,3,4,5,6,1,8,7]=>[7,8,1,6,5,4,3,2]=>0000000 [1,4,5,3,6,2,8,7]=>[7,8,2,6,3,5,4,1]=>0000000 [2,1,6,5,4,3,8,7]=>[7,8,3,4,5,6,1,2]=>0000000 [2,1,5,6,4,3,8,7]=>[7,8,3,4,6,5,1,2]=>0000000 [2,1,4,6,5,3,8,7]=>[7,8,3,5,6,4,1,2]=>0000000 [2,1,5,4,6,3,8,7]=>[7,8,3,6,4,5,1,2]=>0000000 [2,1,3,6,5,4,8,7]=>[7,8,4,5,6,3,1,2]=>0000000 [4,3,2,1,6,5,8,7]=>[7,8,5,6,1,2,3,4]=>0000000 [3,4,2,1,6,5,8,7]=>[7,8,5,6,1,2,4,3]=>0000000 [2,4,3,1,6,5,8,7]=>[7,8,5,6,1,3,4,2]=>0000000 [3,2,4,1,6,5,8,7]=>[7,8,5,6,1,4,2,3]=>0000000 [2,3,4,1,6,5,8,7]=>[7,8,5,6,1,4,3,2]=>0000000 [2,1,4,3,6,5,8,7]=>[7,8,5,6,3,4,1,2]=>0000000 [1,2,4,3,6,5,8,7]=>[7,8,5,6,3,4,2,1]=>0000000 [2,3,1,4,6,5,8,7]=>[7,8,5,6,4,1,3,2]=>0000000 [5,4,3,2,1,6,8,7]=>[7,8,6,1,2,3,4,5]=>0000000 [2,5,4,3,1,6,8,7]=>[7,8,6,1,3,4,5,2]=>0000000 [2,4,5,3,1,6,8,7]=>[7,8,6,1,3,5,4,2]=>0000000 [4,3,2,5,1,6,8,7]=>[7,8,6,1,5,2,3,4]=>0000000 [2,3,4,5,1,6,8,7]=>[7,8,6,1,5,4,3,2]=>0000000 [1,5,4,3,2,6,8,7]=>[7,8,6,2,3,4,5,1]=>0000000 [2,1,5,4,3,6,8,7]=>[7,8,6,3,4,5,1,2]=>0000000 [1,2,5,4,3,6,8,7]=>[7,8,6,3,4,5,2,1]=>0000000 [4,3,2,1,5,6,8,7]=>[7,8,6,5,1,2,3,4]=>0000000 [3,2,4,1,5,6,8,7]=>[7,8,6,5,1,4,2,3]=>0000000 [2,3,4,1,5,6,8,7]=>[7,8,6,5,1,4,3,2]=>0000000 [2,1,3,4,5,6,8,7]=>[7,8,6,5,4,3,1,2]=>0000000 [4,7,6,5,3,2,1,8]=>[8,1,2,3,5,6,7,4]=>0000000 [3,7,6,5,4,2,1,8]=>[8,1,2,4,5,6,7,3]=>0000000 [4,3,7,6,5,2,1,8]=>[8,1,2,5,6,7,3,4]=>0000000 [3,4,7,6,5,2,1,8]=>[8,1,2,5,6,7,4,3]=>0000000 [4,5,3,7,6,2,1,8]=>[8,1,2,6,7,3,5,4]=>0000000 [3,5,4,7,6,2,1,8]=>[8,1,2,6,7,4,5,3]=>0000000 [4,3,5,7,6,2,1,8]=>[8,1,2,6,7,5,3,4]=>0000000 [3,5,6,4,7,2,1,8]=>[8,1,2,7,4,6,5,3]=>0000000 [2,4,7,6,5,3,1,8]=>[8,1,3,5,6,7,4,2]=>0000000 [2,4,6,7,5,3,1,8]=>[8,1,3,5,7,6,4,2]=>0000000 [2,5,4,7,6,3,1,8]=>[8,1,3,6,7,4,5,2]=>0000000 [2,5,6,4,7,3,1,8]=>[8,1,3,7,4,6,5,2]=>0000000 [3,2,7,6,5,4,1,8]=>[8,1,4,5,6,7,2,3]=>0000000 [3,2,6,7,5,4,1,8]=>[8,1,4,5,7,6,2,3]=>0000000 [3,2,5,7,6,4,1,8]=>[8,1,4,6,7,5,2,3]=>0000000 [3,2,5,6,7,4,1,8]=>[8,1,4,7,6,5,2,3]=>0000000 [2,3,7,6,5,4,1,8]=>[8,1,4,5,6,7,3,2]=>0000000 [4,3,2,7,6,5,1,8]=>[8,1,5,6,7,2,3,4]=>0000000 [4,3,2,6,7,5,1,8]=>[8,1,5,7,6,2,3,4]=>0000000 [2,3,4,7,6,5,1,8]=>[8,1,5,6,7,4,3,2]=>0000000 [5,4,3,2,7,6,1,8]=>[8,1,6,7,2,3,4,5]=>0000000 [4,5,3,2,7,6,1,8]=>[8,1,6,7,2,3,5,4]=>0000000 [3,5,4,2,7,6,1,8]=>[8,1,6,7,2,4,5,3]=>0000000 [3,4,5,2,7,6,1,8]=>[8,1,6,7,2,5,4,3]=>0000000 [3,2,5,4,7,6,1,8]=>[8,1,6,7,4,5,2,3]=>0000000 [2,3,4,5,7,6,1,8]=>[8,1,6,7,5,4,3,2]=>0000000 [3,6,5,4,2,7,1,8]=>[8,1,7,2,4,5,6,3]=>0000000 [3,5,6,4,2,7,1,8]=>[8,1,7,2,4,6,5,3]=>0000000 [4,3,6,5,2,7,1,8]=>[8,1,7,2,5,6,3,4]=>0000000 [3,4,6,5,2,7,1,8]=>[8,1,7,2,5,6,4,3]=>0000000 [2,3,5,6,4,7,1,8]=>[8,1,7,4,6,5,3,2]=>0000000 [3,2,4,6,5,7,1,8]=>[8,1,7,5,6,4,2,3]=>0000000 [2,3,4,6,5,7,1,8]=>[8,1,7,5,6,4,3,2]=>0000000 [3,5,4,2,6,7,1,8]=>[8,1,7,6,2,4,5,3]=>0000000 [1,3,5,7,6,4,2,8]=>[8,2,4,6,7,5,3,1]=>0000000 [1,3,5,6,7,4,2,8]=>[8,2,4,7,6,5,3,1]=>0000000 [1,6,5,4,3,7,2,8]=>[8,2,7,3,4,5,6,1]=>0000000 [1,3,4,6,5,7,2,8]=>[8,2,7,5,6,4,3,1]=>0000000 [1,3,4,5,6,7,2,8]=>[8,2,7,6,5,4,3,1]=>0000000 [2,1,6,5,4,7,3,8]=>[8,3,7,4,5,6,1,2]=>0000000 [2,1,5,4,6,7,3,8]=>[8,3,7,6,4,5,1,2]=>0000000 [2,3,1,5,6,7,4,8]=>[8,4,7,6,5,1,3,2]=>0000000 [1,3,2,5,6,7,4,8]=>[8,4,7,6,5,2,3,1]=>0000000 [2,1,3,5,7,6,4,8]=>[8,4,6,7,5,3,1,2]=>0000000 [2,1,3,5,6,7,4,8]=>[8,4,7,6,5,3,1,2]=>0000000 [4,3,2,1,7,6,5,8]=>[8,5,6,7,1,2,3,4]=>0000000 [4,3,2,1,6,7,5,8]=>[8,5,7,6,1,2,3,4]=>0000000 [3,2,4,1,7,6,5,8]=>[8,5,6,7,1,4,2,3]=>0000000 [3,2,4,1,6,7,5,8]=>[8,5,7,6,1,4,2,3]=>0000000 [2,3,4,1,7,6,5,8]=>[8,5,6,7,1,4,3,2]=>0000000 [2,3,4,1,6,7,5,8]=>[8,5,7,6,1,4,3,2]=>0000000 [1,4,3,2,7,6,5,8]=>[8,5,6,7,2,3,4,1]=>0000000 [1,4,3,2,6,7,5,8]=>[8,5,7,6,2,3,4,1]=>0000000 [1,3,4,2,7,6,5,8]=>[8,5,6,7,2,4,3,1]=>0000000 [1,3,4,2,6,7,5,8]=>[8,5,7,6,2,4,3,1]=>0000000 [1,2,4,3,7,6,5,8]=>[8,5,6,7,3,4,2,1]=>0000000 [3,2,1,4,7,6,5,8]=>[8,5,6,7,4,1,2,3]=>0000000 [1,3,2,4,7,6,5,8]=>[8,5,6,7,4,2,3,1]=>0000000 [1,2,3,4,7,6,5,8]=>[8,5,6,7,4,3,2,1]=>0000000 [5,4,3,2,1,7,6,8]=>[8,6,7,1,2,3,4,5]=>0000000 [2,3,5,4,1,7,6,8]=>[8,6,7,1,4,5,3,2]=>0000000 [4,3,2,5,1,7,6,8]=>[8,6,7,1,5,2,3,4]=>0000000 [2,3,4,5,1,7,6,8]=>[8,6,7,1,5,4,3,2]=>0000000 [1,5,4,3,2,7,6,8]=>[8,6,7,2,3,4,5,1]=>0000000 [1,2,5,4,3,7,6,8]=>[8,6,7,3,4,5,2,1]=>0000000 [3,2,1,5,4,7,6,8]=>[8,6,7,4,5,1,2,3]=>0000000 [4,3,2,1,5,7,6,8]=>[8,6,7,5,1,2,3,4]=>0000000 [3,2,4,1,5,7,6,8]=>[8,6,7,5,1,4,2,3]=>0000000 [2,3,4,1,5,7,6,8]=>[8,6,7,5,1,4,3,2]=>0000000 [1,4,3,2,5,7,6,8]=>[8,6,7,5,2,3,4,1]=>0000000 [1,3,2,4,5,7,6,8]=>[8,6,7,5,4,2,3,1]=>0000000 [3,6,5,4,2,1,7,8]=>[8,7,1,2,4,5,6,3]=>0000000 [3,2,5,6,4,1,7,8]=>[8,7,1,4,6,5,2,3]=>0000000 [2,3,6,5,4,1,7,8]=>[8,7,1,4,5,6,3,2]=>0000000 [4,3,2,6,5,1,7,8]=>[8,7,1,5,6,2,3,4]=>0000000 [2,3,4,6,5,1,7,8]=>[8,7,1,5,6,4,3,2]=>0000000 [1,2,4,5,6,3,7,8]=>[8,7,3,6,5,4,2,1]=>0000000 [2,3,1,6,5,4,7,8]=>[8,7,4,5,6,1,3,2]=>0000000 [4,3,2,1,6,5,7,8]=>[8,7,5,6,1,2,3,4]=>0000000 [3,2,4,1,6,5,7,8]=>[8,7,5,6,1,4,2,3]=>0000000 [2,3,4,1,6,5,7,8]=>[8,7,5,6,1,4,3,2]=>0000000 [1,4,3,2,6,5,7,8]=>[8,7,5,6,2,3,4,1]=>0000000 [1,2,4,3,6,5,7,8]=>[8,7,5,6,3,4,2,1]=>0000000 [1,2,3,4,6,5,7,8]=>[8,7,5,6,4,3,2,1]=>0000000 [3,5,4,2,1,6,7,8]=>[8,7,6,1,2,4,5,3]=>0000000 [2,5,4,3,1,6,7,8]=>[8,7,6,1,3,4,5,2]=>0000000 [2,4,5,3,1,6,7,8]=>[8,7,6,1,3,5,4,2]=>0000000 [3,2,5,4,1,6,7,8]=>[8,7,6,1,4,5,2,3]=>0000000 [2,3,5,4,1,6,7,8]=>[8,7,6,1,4,5,3,2]=>0000000 [2,4,3,5,1,6,7,8]=>[8,7,6,1,5,3,4,2]=>0000000 [1,5,4,3,2,6,7,8]=>[8,7,6,2,3,4,5,1]=>0000000 [2,1,5,4,3,6,7,8]=>[8,7,6,3,4,5,1,2]=>0000000 [2,1,4,5,3,6,7,8]=>[8,7,6,3,5,4,1,2]=>0000000 [1,2,5,4,3,6,7,8]=>[8,7,6,3,4,5,2,1]=>0000000 [1,4,3,2,5,6,7,8]=>[8,7,6,5,2,3,4,1]=>0000000 [1,2,3,5,8,6,7,4]=>[4,7,6,8,5,3,2,1]=>0000000 [1,2,3,7,5,6,8,4]=>[4,8,6,5,7,3,2,1]=>0000000 [1,2,3,8,5,6,7,4]=>[4,7,6,5,8,3,2,1]=>0000000 [1,2,3,8,5,7,6,4]=>[4,6,7,5,8,3,2,1]=>0000000 [1,2,3,8,6,5,7,4]=>[4,7,5,6,8,3,2,1]=>0000000 [1,2,3,8,6,7,5,4]=>[4,5,7,6,8,3,2,1]=>0000000 [1,2,5,4,8,6,7,3]=>[3,7,6,8,4,5,2,1]=>0000000 [1,2,8,5,4,6,7,3]=>[3,7,6,4,5,8,2,1]=>0000000 [1,2,8,5,4,7,6,3]=>[3,6,7,4,5,8,2,1]=>0000000 [1,2,8,5,6,7,4,3]=>[3,4,7,6,5,8,2,1]=>0000000 [1,2,8,6,5,7,4,3]=>[3,4,7,5,6,8,2,1]=>0000000 [1,2,8,7,5,6,4,3]=>[3,4,6,5,7,8,2,1]=>0000000 [1,3,4,8,6,5,7,2]=>[2,7,5,6,8,4,3,1]=>0000000 [1,3,6,4,5,7,8,2]=>[2,8,7,5,4,6,3,1]=>0000000 [1,3,6,4,5,8,7,2]=>[2,7,8,5,4,6,3,1]=>0000000 [1,3,7,5,4,6,2,8]=>[8,2,6,4,5,7,3,1]=>0000000 [1,3,8,5,6,7,4,2]=>[2,4,7,6,5,8,3,1]=>0000000 [1,3,8,6,5,7,4,2]=>[2,4,7,5,6,8,3,1]=>0000000 [1,4,3,8,6,5,7,2]=>[2,7,5,6,8,3,4,1]=>0000000 [1,5,3,4,2,8,7,6]=>[6,7,8,2,4,3,5,1]=>0000000 [1,8,3,7,5,6,4,2]=>[2,4,6,5,7,3,8,1]=>0000000 [1,8,4,5,6,7,3,2]=>[2,3,7,6,5,4,8,1]=>0000000 [1,8,4,6,5,3,7,2]=>[2,7,3,5,6,4,8,1]=>0000000 [1,8,4,6,5,7,3,2]=>[2,3,7,5,6,4,8,1]=>0000000 [1,8,5,4,3,6,7,2]=>[2,7,6,3,4,5,8,1]=>0000000 [1,8,5,4,6,7,3,2]=>[2,3,7,6,4,5,8,1]=>0000000 [1,8,5,4,7,6,3,2]=>[2,3,6,7,4,5,8,1]=>0000000 [1,8,6,4,5,3,7,2]=>[2,7,3,5,4,6,8,1]=>0000000 [1,8,6,4,5,7,3,2]=>[2,3,7,5,4,6,8,1]=>0000000 [1,8,7,4,5,6,3,2]=>[2,3,6,5,4,7,8,1]=>0000000 [1,8,6,5,4,7,3,2]=>[2,3,7,4,5,6,8,1]=>0000000 [1,8,7,5,4,6,3,2]=>[2,3,6,4,5,7,8,1]=>0000000 [1,8,7,5,6,4,3,2]=>[2,3,4,6,5,7,8,1]=>0000000 [2,1,3,8,6,5,7,4]=>[4,7,5,6,8,3,1,2]=>0000000 [2,1,4,3,8,6,7,5]=>[5,7,6,8,3,4,1,2]=>0000000 [2,1,4,5,8,6,7,3]=>[3,7,6,8,5,4,1,2]=>0000000 [2,1,5,4,8,6,7,3]=>[3,7,6,8,4,5,1,2]=>0000000 [2,1,6,4,5,3,8,7]=>[7,8,3,5,4,6,1,2]=>0000000 [2,1,6,4,5,7,8,3]=>[3,8,7,5,4,6,1,2]=>0000000 [2,1,8,4,6,7,5,3]=>[3,5,7,6,4,8,1,2]=>0000000 [2,1,8,5,4,7,6,3]=>[3,6,7,4,5,8,1,2]=>0000000 [2,1,7,5,6,4,8,3]=>[3,8,4,6,5,7,1,2]=>0000000 [2,1,8,5,6,4,7,3]=>[3,7,4,6,5,8,1,2]=>0000000 [2,1,8,6,5,4,7,3]=>[3,7,4,5,6,8,1,2]=>0000000 [2,1,8,7,5,6,4,3]=>[3,4,6,5,7,8,1,2]=>0000000 [2,3,1,8,6,7,5,4]=>[4,5,7,6,8,1,3,2]=>0000000 [2,3,4,1,8,6,7,5]=>[5,7,6,8,1,4,3,2]=>0000000 [2,3,4,5,8,6,7,1]=>[1,7,6,8,5,4,3,2]=>1000000 [2,3,4,8,5,6,7,1]=>[1,7,6,5,8,4,3,2]=>1000000 [2,3,4,8,5,7,6,1]=>[1,6,7,5,8,4,3,2]=>1000000 [2,3,4,8,6,5,7,1]=>[1,7,5,6,8,4,3,2]=>1000000 [2,3,4,8,6,7,5,1]=>[1,5,7,6,8,4,3,2]=>1000000 [2,3,6,4,5,1,8,7]=>[7,8,1,5,4,6,3,2]=>0000000 [2,3,7,4,5,6,8,1]=>[1,8,6,5,4,7,3,2]=>1000000 [2,3,7,4,6,5,8,1]=>[1,8,5,6,4,7,3,2]=>1000000 [2,3,7,5,4,6,8,1]=>[1,8,6,4,5,7,3,2]=>1000000 [2,3,8,5,4,6,7,1]=>[1,7,6,4,5,8,3,2]=>1000000 [2,3,7,5,6,4,8,1]=>[1,8,4,6,5,7,3,2]=>1000000 [2,3,8,5,6,7,4,1]=>[1,4,7,6,5,8,3,2]=>1000000 [2,4,3,8,5,6,7,1]=>[1,7,6,5,8,3,4,2]=>1000000 [2,5,3,4,1,6,7,8]=>[8,7,6,1,4,3,5,2]=>0000000 [2,5,3,4,6,1,7,8]=>[8,7,1,6,4,3,5,2]=>0000000 [2,5,3,4,8,7,6,1]=>[1,6,7,8,4,3,5,2]=>1000000 [2,6,3,4,5,7,8,1]=>[1,8,7,5,4,3,6,2]=>1000000 [2,6,3,4,5,8,7,1]=>[1,7,8,5,4,3,6,2]=>1000000 [2,7,3,4,6,5,8,1]=>[1,8,5,6,4,3,7,2]=>1000000 [2,6,3,5,4,1,8,7]=>[7,8,1,4,5,3,6,2]=>0000000 [2,6,3,5,4,7,8,1]=>[1,8,7,4,5,3,6,2]=>1000000 [2,6,3,5,4,8,7,1]=>[1,7,8,4,5,3,6,2]=>1000000 [2,7,3,6,5,4,1,8]=>[8,1,4,5,6,3,7,2]=>0000000 [2,5,4,3,8,6,7,1]=>[1,7,6,8,3,4,5,2]=>1000000 [2,6,4,3,5,7,8,1]=>[1,8,7,5,3,4,6,2]=>1000000 [2,6,4,5,3,7,8,1]=>[1,8,7,3,5,4,6,2]=>1000000 [2,6,4,5,3,8,7,1]=>[1,7,8,3,5,4,6,2]=>1000000 [2,7,4,5,6,3,8,1]=>[1,8,3,6,5,4,7,2]=>1000000 [2,7,4,6,5,3,1,8]=>[8,1,3,5,6,4,7,2]=>0000000 [2,7,4,6,5,3,8,1]=>[1,8,3,5,6,4,7,2]=>1000000 [2,8,5,4,3,6,7,1]=>[1,7,6,3,4,5,8,2]=>1000000 [2,8,5,4,3,7,6,1]=>[1,6,7,3,4,5,8,2]=>1000000 [2,7,5,4,6,3,8,1]=>[1,8,3,6,4,5,7,2]=>1000000 [2,8,5,4,7,6,3,1]=>[1,3,6,7,4,5,8,2]=>1000000 [3,2,1,7,5,6,4,8]=>[8,4,6,5,7,1,2,3]=>0000000 [3,2,4,1,8,6,7,5]=>[5,7,6,8,1,4,2,3]=>0000000 [3,2,4,5,8,6,7,1]=>[1,7,6,8,5,4,2,3]=>1000000 [3,2,4,8,5,7,6,1]=>[1,6,7,5,8,4,2,3]=>1000000 [3,2,4,8,6,7,5,1]=>[1,5,7,6,8,4,2,3]=>1000000 [3,2,5,4,8,6,7,1]=>[1,7,6,8,4,5,2,3]=>1000000 [3,2,6,4,5,1,7,8]=>[8,7,1,5,4,6,2,3]=>0000000 [3,2,6,4,5,1,8,7]=>[7,8,1,5,4,6,2,3]=>0000000 [3,2,8,4,7,6,5,1]=>[1,5,6,7,4,8,2,3]=>1000000 [3,2,7,5,4,6,1,8]=>[8,1,6,4,5,7,2,3]=>0000000 [3,2,7,5,4,6,8,1]=>[1,8,6,4,5,7,2,3]=>1000000 [3,2,7,5,6,4,8,1]=>[1,8,4,6,5,7,2,3]=>1000000 [3,2,8,5,6,4,7,1]=>[1,7,4,6,5,8,2,3]=>1000000 [4,2,3,1,6,5,8,7]=>[7,8,5,6,1,3,2,4]=>0000000 [4,2,3,1,6,7,8,5]=>[5,8,7,6,1,3,2,4]=>0000000 [4,2,3,1,7,6,8,5]=>[5,8,6,7,1,3,2,4]=>0000000 [4,2,3,1,8,6,7,5]=>[5,7,6,8,1,3,2,4]=>0000000 [4,2,3,1,8,7,6,5]=>[5,6,7,8,1,3,2,4]=>0000000 [4,2,3,5,1,7,8,6]=>[6,8,7,1,5,3,2,4]=>0000000 [4,2,3,5,1,8,7,6]=>[6,7,8,1,5,3,2,4]=>0000000 [4,2,3,5,6,1,8,7]=>[7,8,1,6,5,3,2,4]=>0000000 [5,2,3,4,1,8,7,6]=>[6,7,8,1,4,3,2,5]=>0000000 [5,2,3,4,8,7,6,1]=>[1,6,7,8,4,3,2,5]=>1000000 [7,2,3,4,6,5,1,8]=>[8,1,5,6,4,3,2,7]=>0000000 [8,2,3,4,7,6,5,1]=>[1,5,6,7,4,3,2,8]=>1000001 [6,2,3,5,4,8,7,1]=>[1,7,8,4,5,3,2,6]=>1000000 [7,2,3,6,5,4,1,8]=>[8,1,4,5,6,3,2,7]=>0000000 [8,2,3,7,5,6,4,1]=>[1,4,6,5,7,3,2,8]=>1000001 [5,2,4,3,1,6,7,8]=>[8,7,6,1,3,4,2,5]=>0000000 [5,2,4,3,1,8,7,6]=>[6,7,8,1,3,4,2,5]=>0000000 [5,2,4,3,6,7,8,1]=>[1,8,7,6,3,4,2,5]=>1000000 [5,2,4,3,6,8,7,1]=>[1,7,8,6,3,4,2,5]=>1000000 [5,2,4,3,7,6,1,8]=>[8,1,6,7,3,4,2,5]=>0000000 [5,2,4,3,7,6,8,1]=>[1,8,6,7,3,4,2,5]=>1000000 [7,2,4,3,6,5,8,1]=>[1,8,5,6,3,4,2,7]=>1000000 [6,2,4,5,3,7,1,8]=>[8,1,7,3,5,4,2,6]=>0000000 [7,2,4,5,3,6,8,1]=>[1,8,6,3,5,4,2,7]=>1000000 [7,2,4,6,5,3,1,8]=>[8,1,3,5,6,4,2,7]=>0000000 [8,2,4,7,6,5,3,1]=>[1,3,5,6,7,4,2,8]=>1000001 [8,2,7,4,5,6,3,1]=>[1,3,6,5,4,7,2,8]=>1000001 [8,2,7,5,4,6,3,1]=>[1,3,6,4,5,7,2,8]=>1000001 [8,2,7,6,5,4,3,1]=>[1,3,4,5,6,7,2,8]=>1000001 [4,3,2,1,8,6,7,5]=>[5,7,6,8,1,2,3,4]=>0000000 [4,3,2,7,5,6,8,1]=>[1,8,6,5,7,2,3,4]=>1000000 [4,3,2,8,5,6,7,1]=>[1,7,6,5,8,2,3,4]=>1000000 [5,3,2,4,1,8,7,6]=>[6,7,8,1,4,2,3,5]=>0000000 [5,3,2,4,7,6,1,8]=>[8,1,6,7,4,2,3,5]=>0000000 [5,3,2,4,7,6,8,1]=>[1,8,6,7,4,2,3,5]=>1000000 [5,3,2,4,8,6,7,1]=>[1,7,6,8,4,2,3,5]=>1000000 [5,3,2,4,8,7,6,1]=>[1,6,7,8,4,2,3,5]=>1000000 [7,3,2,4,6,5,8,1]=>[1,8,5,6,4,2,3,7]=>1000000 [8,3,2,4,6,7,5,1]=>[1,5,7,6,4,2,3,8]=>1000001 [8,3,2,4,7,6,5,1]=>[1,5,6,7,4,2,3,8]=>1000001 [6,3,2,5,4,1,8,7]=>[7,8,1,4,5,2,3,6]=>0000000 [6,3,2,5,4,7,1,8]=>[8,1,7,4,5,2,3,6]=>0000000 [6,3,2,5,4,7,8,1]=>[1,8,7,4,5,2,3,6]=>1000000 [7,3,2,5,4,6,1,8]=>[8,1,6,4,5,2,3,7]=>0000000 [7,3,2,5,4,6,8,1]=>[1,8,6,4,5,2,3,7]=>1000000 [8,3,2,5,4,7,6,1]=>[1,6,7,4,5,2,3,8]=>1000001 [8,3,2,7,5,6,4,1]=>[1,4,6,5,7,2,3,8]=>1000001 [8,3,2,7,6,5,4,1]=>[1,4,5,6,7,2,3,8]=>1000001 [5,3,4,2,1,7,8,6]=>[6,8,7,1,2,4,3,5]=>0000000 [5,3,4,2,1,8,7,6]=>[6,7,8,1,2,4,3,5]=>0000000 [5,3,4,2,6,1,8,7]=>[7,8,1,6,2,4,3,5]=>0000000 [5,3,4,2,7,6,8,1]=>[1,8,6,7,2,4,3,5]=>1000000 [5,3,4,2,8,6,7,1]=>[1,7,6,8,2,4,3,5]=>1000000 [5,3,4,2,8,7,6,1]=>[1,6,7,8,2,4,3,5]=>1000000 [6,3,4,2,5,1,8,7]=>[7,8,1,5,2,4,3,6]=>0000000 [7,3,4,2,6,5,1,8]=>[8,1,5,6,2,4,3,7]=>0000000 [7,3,4,2,6,5,8,1]=>[1,8,5,6,2,4,3,7]=>1000000 [7,3,4,6,5,2,1,8]=>[8,1,2,5,6,4,3,7]=>0000000 [7,3,4,6,5,2,8,1]=>[1,8,2,5,6,4,3,7]=>1000000 [8,3,4,7,6,5,2,1]=>[1,2,5,6,7,4,3,8]=>1100001 [6,3,5,4,2,1,7,8]=>[8,7,1,2,4,5,3,6]=>0000000 [6,3,5,4,2,7,1,8]=>[8,1,7,2,4,5,3,6]=>0000000 [6,3,5,4,2,8,7,1]=>[1,7,8,2,4,5,3,6]=>1000000 [7,3,5,4,6,2,1,8]=>[8,1,2,6,4,5,3,7]=>0000000 [7,3,6,4,5,2,1,8]=>[8,1,2,5,4,6,3,7]=>0000000 [8,3,7,4,6,5,2,1]=>[1,2,5,6,4,7,3,8]=>1100001 [7,3,6,5,4,2,1,8]=>[8,1,2,4,5,6,3,7]=>0000000 [5,4,3,2,8,6,7,1]=>[1,7,6,8,2,3,4,5]=>1000000 [7,4,3,2,6,5,8,1]=>[1,8,5,6,2,3,4,7]=>1000000 [8,4,3,2,6,7,5,1]=>[1,5,7,6,2,3,4,8]=>1000001 [6,4,3,5,2,1,8,7]=>[7,8,1,2,5,3,4,6]=>0000000 [7,4,3,6,5,2,1,8]=>[8,1,2,5,6,3,4,7]=>0000000 [7,4,3,6,5,2,8,1]=>[1,8,2,5,6,3,4,7]=>1000000 [8,4,3,6,5,2,7,1]=>[1,7,2,5,6,3,4,8]=>1000001 [6,5,3,4,2,1,8,7]=>[7,8,1,2,4,3,5,6]=>0000000 [8,6,3,5,4,2,7,1]=>[1,7,2,4,5,3,6,8]=>1000001 [8,7,3,5,4,6,2,1]=>[1,2,6,4,5,3,7,8]=>1100011 [8,7,3,6,5,4,2,1]=>[1,2,4,5,6,3,7,8]=>1100011 [8,5,4,3,2,7,6,1]=>[1,6,7,2,3,4,5,8]=>1000001 [8,7,4,3,6,5,2,1]=>[1,2,5,6,3,4,7,8]=>1100011 [8,7,4,6,5,3,2,1]=>[1,2,3,5,6,4,7,8]=>1110011 [2,4,1,3,6,5,8,7]=>[7,8,5,6,3,1,4,2]=>0000000 [2,1,4,6,3,5,8,7]=>[7,8,5,3,6,4,1,2]=>0000000 [2,4,6,1,3,5,8,7]=>[7,8,5,3,1,6,4,2]=>0000000 [2,1,4,3,6,8,5,7]=>[7,5,8,6,3,4,1,2]=>0000000 [2,4,1,3,6,8,5,7]=>[7,5,8,6,3,1,4,2]=>0000000 [2,4,1,6,8,3,5,7]=>[7,5,3,8,6,1,4,2]=>0000000 [2,4,6,8,1,3,5,7]=>[7,5,3,1,8,6,4,2]=>0000000 [2,4,6,1,3,5,7,8]=>[8,7,5,3,1,6,4,2]=>0000000 [2,4,1,6,3,7,5,8]=>[8,5,7,3,6,1,4,2]=>0000000 [2,4,1,6,7,3,5,8]=>[8,5,3,7,6,1,4,2]=>0000000 [2,4,1,3,6,7,8,5]=>[5,8,7,6,3,1,4,2]=>0000000 [2,4,1,6,3,7,8,5]=>[5,8,7,3,6,1,4,2]=>0000000 [2,4,6,1,3,7,8,5]=>[5,8,7,3,1,6,4,2]=>0000000 [2,4,1,6,7,3,8,5]=>[5,8,3,7,6,1,4,2]=>0000000 [2,4,6,1,7,3,8,5]=>[5,8,3,7,1,6,4,2]=>0000000 [2,4,6,7,1,3,8,5]=>[5,8,3,1,7,6,4,2]=>0000000 [2,4,6,1,7,8,3,5]=>[5,3,8,7,1,6,4,2]=>0000000 [2,4,6,7,1,8,3,5]=>[5,3,8,1,7,6,4,2]=>0000000 [2,4,6,7,8,1,3,5]=>[5,3,1,8,7,6,4,2]=>0000000 [2,1,4,3,7,5,8,6]=>[6,8,5,7,3,4,1,2]=>0000000 [2,4,1,3,7,5,8,6]=>[6,8,5,7,3,1,4,2]=>0000000 [2,4,7,1,3,5,8,6]=>[6,8,5,3,1,7,4,2]=>0000000 [2,1,4,3,7,8,5,6]=>[6,5,8,7,3,4,1,2]=>0000000 [2,4,1,3,7,8,5,6]=>[6,5,8,7,3,1,4,2]=>0000000 [2,4,1,7,8,3,5,6]=>[6,5,3,8,7,1,4,2]=>0000000 [2,4,7,8,1,3,5,6]=>[6,5,3,1,8,7,4,2]=>0000000 [2,4,5,1,7,3,6,8]=>[8,6,3,7,1,5,4,2]=>0000000 [2,4,5,7,1,3,6,8]=>[8,6,3,1,7,5,4,2]=>0000000 [2,4,1,5,3,7,8,6]=>[6,8,7,3,5,1,4,2]=>0000000 [2,4,5,1,3,7,8,6]=>[6,8,7,3,1,5,4,2]=>0000000 [2,4,1,5,7,3,8,6]=>[6,8,3,7,5,1,4,2]=>0000000 [2,4,5,7,1,3,8,6]=>[6,8,3,1,7,5,4,2]=>0000000 [2,4,5,7,8,1,3,6]=>[6,3,1,8,7,5,4,2]=>0000000 [2,1,4,3,8,5,6,7]=>[7,6,5,8,3,4,1,2]=>0000000 [2,4,1,3,8,5,6,7]=>[7,6,5,8,3,1,4,2]=>0000000 [2,1,4,5,8,3,6,7]=>[7,6,3,8,5,4,1,2]=>0000000 [2,4,5,6,1,3,8,7]=>[7,8,3,1,6,5,4,2]=>0000000 [2,1,4,5,6,8,3,7]=>[7,3,8,6,5,4,1,2]=>0000000 [2,4,5,1,6,8,3,7]=>[7,3,8,6,1,5,4,2]=>0000000 [2,4,5,6,1,8,3,7]=>[7,3,8,1,6,5,4,2]=>0000000 [2,4,1,5,3,6,7,8]=>[8,7,6,3,5,1,4,2]=>0000000 [2,4,1,5,6,7,3,8]=>[8,3,7,6,5,1,4,2]=>0000000 [2,4,5,6,1,7,3,8]=>[8,3,7,1,6,5,4,2]=>0000000 [2,4,5,6,7,1,3,8]=>[8,3,1,7,6,5,4,2]=>0000000 [2,4,5,1,6,7,8,3]=>[3,8,7,6,1,5,4,2]=>0000000 [2,4,5,6,1,7,8,3]=>[3,8,7,1,6,5,4,2]=>0000000 [2,4,5,6,7,1,8,3]=>[3,8,1,7,6,5,4,2]=>0000000 [2,4,5,6,7,8,1,3]=>[3,1,8,7,6,5,4,2]=>0000000 [2,1,5,3,6,4,8,7]=>[7,8,4,6,3,5,1,2]=>0000000 [2,1,5,6,3,4,8,7]=>[7,8,4,3,6,5,1,2]=>0000000 [2,1,5,3,6,8,4,7]=>[7,4,8,6,3,5,1,2]=>0000000 [2,5,6,1,3,8,4,7]=>[7,4,8,3,1,6,5,2]=>0000000 [2,5,1,6,8,3,4,7]=>[7,4,3,8,6,1,5,2]=>0000000 [2,5,6,1,8,3,4,7]=>[7,4,3,8,1,6,5,2]=>0000000 [2,5,6,8,1,3,4,7]=>[7,4,3,1,8,6,5,2]=>0000000 [2,1,5,6,3,7,4,8]=>[8,4,7,3,6,5,1,2]=>0000000 [2,5,1,6,7,3,4,8]=>[8,4,3,7,6,1,5,2]=>0000000 [2,5,6,1,7,3,4,8]=>[8,4,3,7,1,6,5,2]=>0000000 [2,5,6,7,1,3,4,8]=>[8,4,3,1,7,6,5,2]=>0000000 [2,5,1,3,6,7,8,4]=>[4,8,7,6,3,1,5,2]=>0000000 [2,1,5,6,3,7,8,4]=>[4,8,7,3,6,5,1,2]=>0000000 [2,5,1,6,3,7,8,4]=>[4,8,7,3,6,1,5,2]=>0000000 [2,5,6,1,3,7,8,4]=>[4,8,7,3,1,6,5,2]=>0000000 [2,5,1,6,7,3,8,4]=>[4,8,3,7,6,1,5,2]=>0000000 [2,5,6,1,7,3,8,4]=>[4,8,3,7,1,6,5,2]=>0000000 [2,5,6,7,1,3,8,4]=>[4,8,3,1,7,6,5,2]=>0000000 [2,1,5,6,7,8,3,4]=>[4,3,8,7,6,5,1,2]=>0000000 [2,5,1,6,7,8,3,4]=>[4,3,8,7,6,1,5,2]=>0000000 [2,5,6,1,7,8,3,4]=>[4,3,8,7,1,6,5,2]=>0000000 [2,5,6,7,1,8,3,4]=>[4,3,8,1,7,6,5,2]=>0000000 [2,5,6,7,8,1,3,4]=>[4,3,1,8,7,6,5,2]=>0000000 [2,1,5,3,7,4,8,6]=>[6,8,4,7,3,5,1,2]=>0000000 [2,5,1,3,7,4,8,6]=>[6,8,4,7,3,1,5,2]=>0000000 [2,5,1,7,3,4,8,6]=>[6,8,4,3,7,1,5,2]=>0000000 [2,1,5,7,3,8,4,6]=>[6,4,8,3,7,5,1,2]=>0000000 [2,5,1,7,3,8,4,6]=>[6,4,8,3,7,1,5,2]=>0000000 [2,1,5,7,8,3,4,6]=>[6,4,3,8,7,5,1,2]=>0000000 [2,5,1,7,8,3,4,6]=>[6,4,3,8,7,1,5,2]=>0000000 [2,5,1,3,7,4,6,8]=>[8,6,4,7,3,1,5,2]=>0000000 [2,3,5,1,4,7,6,8]=>[8,6,7,4,1,5,3,2]=>0000000 [2,1,3,5,7,4,6,8]=>[8,6,4,7,5,3,1,2]=>0000000 [2,3,5,7,1,4,6,8]=>[8,6,4,1,7,5,3,2]=>0000000 [2,1,3,5,7,4,8,6]=>[6,8,4,7,5,3,1,2]=>0000000 [2,3,1,5,7,4,8,6]=>[6,8,4,7,5,1,3,2]=>0000000 [2,3,5,1,7,4,8,6]=>[6,8,4,7,1,5,3,2]=>0000000 [2,3,5,7,1,4,8,6]=>[6,8,4,1,7,5,3,2]=>0000000 [2,1,3,5,7,8,4,6]=>[6,4,8,7,5,3,1,2]=>0000000 [2,3,5,7,1,8,4,6]=>[6,4,8,1,7,5,3,2]=>0000000 [2,3,5,7,8,1,4,6]=>[6,4,1,8,7,5,3,2]=>0000000 [2,5,1,3,8,4,6,7]=>[7,6,4,8,3,1,5,2]=>0000000 [2,3,1,5,8,4,6,7]=>[7,6,4,8,5,1,3,2]=>0000000 [2,3,5,6,1,4,8,7]=>[7,8,4,1,6,5,3,2]=>0000000 [2,3,5,6,1,8,4,7]=>[7,4,8,1,6,5,3,2]=>0000000 [2,3,5,6,8,1,4,7]=>[7,4,1,8,6,5,3,2]=>0000000 [2,3,5,1,6,4,7,8]=>[8,7,4,6,1,5,3,2]=>0000000 [2,3,5,6,1,4,7,8]=>[8,7,4,1,6,5,3,2]=>0000000 [2,3,5,6,1,7,4,8]=>[8,4,7,1,6,5,3,2]=>0000000 [2,3,5,6,7,1,4,8]=>[8,4,1,7,6,5,3,2]=>0000000 [2,3,5,1,6,7,8,4]=>[4,8,7,6,1,5,3,2]=>0000000 [2,3,5,6,1,7,8,4]=>[4,8,7,1,6,5,3,2]=>0000000 [2,3,5,6,7,1,8,4]=>[4,8,1,7,6,5,3,2]=>0000000 [2,3,5,6,7,8,1,4]=>[4,1,8,7,6,5,3,2]=>0000000 [2,1,6,3,7,4,8,5]=>[5,8,4,7,3,6,1,2]=>0000000 [2,6,1,3,7,4,8,5]=>[5,8,4,7,3,1,6,2]=>0000000 [2,6,7,1,3,4,8,5]=>[5,8,4,3,1,7,6,2]=>0000000 [2,1,6,7,8,3,4,5]=>[5,4,3,8,7,6,1,2]=>0000000 [2,6,7,1,8,3,4,5]=>[5,4,3,8,1,7,6,2]=>0000000 [2,1,6,3,4,7,5,8]=>[8,5,7,4,3,6,1,2]=>0000000 [2,3,1,6,4,7,5,8]=>[8,5,7,4,6,1,3,2]=>0000000 [2,3,6,1,4,7,5,8]=>[8,5,7,4,1,6,3,2]=>0000000 [2,3,1,6,7,4,5,8]=>[8,5,4,7,6,1,3,2]=>0000000 [2,3,6,7,1,4,5,8]=>[8,5,4,1,7,6,3,2]=>0000000 [2,1,6,3,4,7,8,5]=>[5,8,7,4,3,6,1,2]=>0000000 [2,3,1,6,4,7,8,5]=>[5,8,7,4,6,1,3,2]=>0000000 [2,3,6,1,4,7,8,5]=>[5,8,7,4,1,6,3,2]=>0000000 [2,1,3,6,7,4,8,5]=>[5,8,4,7,6,3,1,2]=>0000000 [2,3,6,1,7,4,8,5]=>[5,8,4,7,1,6,3,2]=>0000000 [2,1,3,6,7,8,4,5]=>[5,4,8,7,6,3,1,2]=>0000000 [2,3,6,1,7,8,4,5]=>[5,4,8,7,1,6,3,2]=>0000000 [2,3,6,7,8,1,4,5]=>[5,4,1,8,7,6,3,2]=>0000000 [2,1,6,3,4,8,5,7]=>[7,5,8,4,3,6,1,2]=>0000000 [2,3,1,6,4,8,5,7]=>[7,5,8,4,6,1,3,2]=>0000000 [2,3,6,1,4,8,5,7]=>[7,5,8,4,1,6,3,2]=>0000000 [2,1,3,6,8,4,5,7]=>[7,5,4,8,6,3,1,2]=>0000000 [2,3,6,1,4,5,8,7]=>[7,8,5,4,1,6,3,2]=>0000000 [2,3,4,6,1,5,8,7]=>[7,8,5,1,6,4,3,2]=>0000000 [2,3,4,1,6,8,5,7]=>[7,5,8,6,1,4,3,2]=>0000000 [2,3,4,6,1,8,5,7]=>[7,5,8,1,6,4,3,2]=>0000000 [2,3,4,6,8,1,5,7]=>[7,5,1,8,6,4,3,2]=>0000000 [2,6,1,3,4,5,7,8]=>[8,7,5,4,3,1,6,2]=>0000000 [2,3,6,1,4,5,7,8]=>[8,7,5,4,1,6,3,2]=>0000000 [2,3,4,6,1,5,7,8]=>[8,7,5,1,6,4,3,2]=>0000000 [2,3,4,6,1,7,5,8]=>[8,5,7,1,6,4,3,2]=>0000000 [2,3,4,6,7,1,5,8]=>[8,5,1,7,6,4,3,2]=>0000000 [2,3,4,6,1,7,8,5]=>[5,8,7,1,6,4,3,2]=>0000000 [2,3,4,6,7,1,8,5]=>[5,8,1,7,6,4,3,2]=>0000000 [2,3,4,6,7,8,1,5]=>[5,1,8,7,6,4,3,2]=>0000000 [2,1,7,8,3,4,5,6]=>[6,5,4,3,8,7,1,2]=>0000000 [2,7,1,8,3,4,5,6]=>[6,5,4,3,8,1,7,2]=>0000000 [2,7,8,1,3,4,5,6]=>[6,5,4,3,1,8,7,2]=>0000000 [2,7,1,3,4,8,5,6]=>[6,5,8,4,3,1,7,2]=>0000000 [2,3,1,7,8,4,5,6]=>[6,5,4,8,7,1,3,2]=>0000000 [2,7,1,3,4,5,8,6]=>[6,8,5,4,3,1,7,2]=>0000000 [2,3,4,1,7,5,8,6]=>[6,8,5,7,1,4,3,2]=>0000000 [2,3,4,7,1,5,8,6]=>[6,8,5,1,7,4,3,2]=>0000000 [2,1,3,4,7,8,5,6]=>[6,5,8,7,4,3,1,2]=>0000000 [2,3,1,4,7,8,5,6]=>[6,5,8,7,4,1,3,2]=>0000000 [2,3,4,1,7,8,5,6]=>[6,5,8,7,1,4,3,2]=>0000000 [2,3,4,7,1,8,5,6]=>[6,5,8,1,7,4,3,2]=>0000000 [2,3,4,7,8,1,5,6]=>[6,5,1,8,7,4,3,2]=>0000000 [2,7,1,3,4,5,6,8]=>[8,6,5,4,3,1,7,2]=>0000000 [2,3,4,1,7,5,6,8]=>[8,6,5,7,1,4,3,2]=>0000000 [2,3,4,7,1,5,6,8]=>[8,6,5,1,7,4,3,2]=>0000000 [2,3,4,5,7,1,6,8]=>[8,6,1,7,5,4,3,2]=>0000000 [2,3,4,5,7,1,8,6]=>[6,8,1,7,5,4,3,2]=>0000000 [2,3,4,5,7,8,1,6]=>[6,1,8,7,5,4,3,2]=>0000000 [2,1,3,4,8,5,6,7]=>[7,6,5,8,4,3,1,2]=>0000000 [2,3,1,4,8,5,6,7]=>[7,6,5,8,4,1,3,2]=>0000000 [2,3,4,1,8,5,6,7]=>[7,6,5,8,1,4,3,2]=>0000000 [2,3,4,8,1,5,6,7]=>[7,6,5,1,8,4,3,2]=>0000000 [2,3,4,1,5,8,6,7]=>[7,6,8,5,1,4,3,2]=>0000000 [2,3,4,5,1,8,6,7]=>[7,6,8,1,5,4,3,2]=>0000000 [2,3,4,5,8,1,6,7]=>[7,6,1,8,5,4,3,2]=>0000000 [2,3,4,5,6,8,1,7]=>[7,1,8,6,5,4,3,2]=>0000000 [3,1,4,2,6,5,8,7]=>[7,8,5,6,2,4,1,3]=>0000000 [3,4,1,2,6,5,8,7]=>[7,8,5,6,2,1,4,3]=>0000000 [3,4,6,1,2,5,8,7]=>[7,8,5,2,1,6,4,3]=>0000000 [3,1,4,2,6,8,5,7]=>[7,5,8,6,2,4,1,3]=>0000000 [3,4,1,2,6,8,5,7]=>[7,5,8,6,2,1,4,3]=>0000000 [3,1,4,6,2,8,5,7]=>[7,5,8,2,6,4,1,3]=>0000000 [3,4,1,6,2,8,5,7]=>[7,5,8,2,6,1,4,3]=>0000000 [3,4,6,1,2,8,5,7]=>[7,5,8,2,1,6,4,3]=>0000000 [3,1,4,6,8,2,5,7]=>[7,5,2,8,6,4,1,3]=>0000000 [3,4,1,2,6,5,7,8]=>[8,7,5,6,2,1,4,3]=>0000000 [3,4,6,1,2,5,7,8]=>[8,7,5,2,1,6,4,3]=>0000000 [3,4,1,2,6,7,5,8]=>[8,5,7,6,2,1,4,3]=>0000000 [3,4,1,6,2,7,5,8]=>[8,5,7,2,6,1,4,3]=>0000000 [3,4,6,1,2,7,5,8]=>[8,5,7,2,1,6,4,3]=>0000000 [3,1,4,2,6,7,8,5]=>[5,8,7,6,2,4,1,3]=>0000000 [3,4,1,2,6,7,8,5]=>[5,8,7,6,2,1,4,3]=>0000000 [3,1,4,6,2,7,8,5]=>[5,8,7,2,6,4,1,3]=>0000000 [3,4,1,6,2,7,8,5]=>[5,8,7,2,6,1,4,3]=>0000000 [3,4,6,1,2,7,8,5]=>[5,8,7,2,1,6,4,3]=>0000000 [3,4,1,6,7,2,8,5]=>[5,8,2,7,6,1,4,3]=>0000000 [3,4,6,1,7,2,8,5]=>[5,8,2,7,1,6,4,3]=>0000000 [3,4,6,7,1,2,8,5]=>[5,8,2,1,7,6,4,3]=>0000000 [3,1,4,6,7,8,2,5]=>[5,2,8,7,6,4,1,3]=>0000000 [3,4,1,6,7,8,2,5]=>[5,2,8,7,6,1,4,3]=>0000000 [3,4,6,1,7,8,2,5]=>[5,2,8,7,1,6,4,3]=>0000000 [3,4,6,7,1,8,2,5]=>[5,2,8,1,7,6,4,3]=>0000000 [3,1,4,2,7,5,8,6]=>[6,8,5,7,2,4,1,3]=>0000000 [3,4,1,2,7,5,8,6]=>[6,8,5,7,2,1,4,3]=>0000000 [3,1,4,7,2,5,8,6]=>[6,8,5,2,7,4,1,3]=>0000000 [3,4,1,7,2,5,8,6]=>[6,8,5,2,7,1,4,3]=>0000000 [3,1,4,2,7,8,5,6]=>[6,5,8,7,2,4,1,3]=>0000000 [3,4,1,2,7,8,5,6]=>[6,5,8,7,2,1,4,3]=>0000000 [3,1,4,7,2,8,5,6]=>[6,5,8,2,7,4,1,3]=>0000000 [3,4,1,7,2,8,5,6]=>[6,5,8,2,7,1,4,3]=>0000000 [3,4,7,1,2,8,5,6]=>[6,5,8,2,1,7,4,3]=>0000000 [3,4,7,1,8,2,5,6]=>[6,5,2,8,1,7,4,3]=>0000000 [3,1,4,2,7,5,6,8]=>[8,6,5,7,2,4,1,3]=>0000000 [3,4,1,2,7,5,6,8]=>[8,6,5,7,2,1,4,3]=>0000000 [3,4,1,7,2,5,6,8]=>[8,6,5,2,7,1,4,3]=>0000000 [3,4,7,1,2,5,6,8]=>[8,6,5,2,1,7,4,3]=>0000000 [3,4,1,2,5,7,6,8]=>[8,6,7,5,2,1,4,3]=>0000000 [3,1,4,2,5,7,8,6]=>[6,8,7,5,2,4,1,3]=>0000000 [3,4,1,2,5,7,8,6]=>[6,8,7,5,2,1,4,3]=>0000000 [3,4,5,1,2,7,8,6]=>[6,8,7,2,1,5,4,3]=>0000000 [3,1,4,5,7,2,8,6]=>[6,8,2,7,5,4,1,3]=>0000000 [3,4,1,5,7,2,8,6]=>[6,8,2,7,5,1,4,3]=>0000000 [3,4,5,7,1,2,8,6]=>[6,8,2,1,7,5,4,3]=>0000000 [3,1,4,5,7,8,2,6]=>[6,2,8,7,5,4,1,3]=>0000000 [3,4,1,5,7,8,2,6]=>[6,2,8,7,5,1,4,3]=>0000000 [3,4,5,7,1,8,2,6]=>[6,2,8,1,7,5,4,3]=>0000000 [3,4,5,7,8,1,2,6]=>[6,2,1,8,7,5,4,3]=>0000000 [3,1,4,2,8,5,6,7]=>[7,6,5,8,2,4,1,3]=>0000000 [3,4,1,2,8,5,6,7]=>[7,6,5,8,2,1,4,3]=>0000000 [3,1,4,8,2,5,6,7]=>[7,6,5,2,8,4,1,3]=>0000000 [3,4,8,1,2,5,6,7]=>[7,6,5,2,1,8,4,3]=>0000000 [3,4,1,2,5,8,6,7]=>[7,6,8,5,2,1,4,3]=>0000000 [3,4,1,2,5,6,8,7]=>[7,8,6,5,2,1,4,3]=>0000000 [3,1,4,5,6,2,8,7]=>[7,8,2,6,5,4,1,3]=>0000000 [3,4,1,5,6,2,8,7]=>[7,8,2,6,5,1,4,3]=>0000000 [3,4,5,1,6,2,8,7]=>[7,8,2,6,1,5,4,3]=>0000000 [3,1,4,5,6,8,2,7]=>[7,2,8,6,5,4,1,3]=>0000000 [3,4,1,5,6,8,2,7]=>[7,2,8,6,5,1,4,3]=>0000000 [3,4,5,6,1,8,2,7]=>[7,2,8,1,6,5,4,3]=>0000000 [3,1,4,2,5,6,7,8]=>[8,7,6,5,2,4,1,3]=>0000000 [3,4,1,5,6,2,7,8]=>[8,7,2,6,5,1,4,3]=>0000000 [3,1,4,5,6,7,2,8]=>[8,2,7,6,5,4,1,3]=>0000000 [3,4,1,5,6,7,2,8]=>[8,2,7,6,5,1,4,3]=>0000000 [3,4,5,6,1,7,2,8]=>[8,2,7,1,6,5,4,3]=>0000000 [3,1,4,5,6,7,8,2]=>[2,8,7,6,5,4,1,3]=>0000000 [3,4,1,5,6,7,8,2]=>[2,8,7,6,5,1,4,3]=>0000000 [3,4,5,1,6,7,8,2]=>[2,8,7,6,1,5,4,3]=>0000000 [3,4,5,6,1,7,8,2]=>[2,8,7,1,6,5,4,3]=>0000000 [3,4,5,6,7,1,8,2]=>[2,8,1,7,6,5,4,3]=>0000000 [3,1,5,2,6,4,8,7]=>[7,8,4,6,2,5,1,3]=>0000000 [3,5,1,6,2,4,8,7]=>[7,8,4,2,6,1,5,3]=>0000000 [3,5,6,1,2,4,8,7]=>[7,8,4,2,1,6,5,3]=>0000000 [3,1,5,6,2,8,4,7]=>[7,4,8,2,6,5,1,3]=>0000000 [3,5,1,6,2,8,4,7]=>[7,4,8,2,6,1,5,3]=>0000000 [3,1,5,6,8,2,4,7]=>[7,4,2,8,6,5,1,3]=>0000000 [3,5,6,1,8,2,4,7]=>[7,4,2,8,1,6,5,3]=>0000000 [3,5,6,8,1,2,4,7]=>[7,4,2,1,8,6,5,3]=>0000000 [3,1,5,2,6,7,4,8]=>[8,4,7,6,2,5,1,3]=>0000000 [3,5,1,2,6,7,4,8]=>[8,4,7,6,2,1,5,3]=>0000000 [3,5,1,6,7,2,4,8]=>[8,4,2,7,6,1,5,3]=>0000000 [3,5,6,1,7,2,4,8]=>[8,4,2,7,1,6,5,3]=>0000000 [3,5,6,7,1,2,4,8]=>[8,4,2,1,7,6,5,3]=>0000000 [3,5,1,6,2,7,8,4]=>[4,8,7,2,6,1,5,3]=>0000000 [3,5,6,1,2,7,8,4]=>[4,8,7,2,1,6,5,3]=>0000000 [3,1,5,6,7,2,8,4]=>[4,8,2,7,6,5,1,3]=>0000000 [3,5,1,6,7,2,8,4]=>[4,8,2,7,6,1,5,3]=>0000000 [3,5,6,1,7,2,8,4]=>[4,8,2,7,1,6,5,3]=>0000000 [3,5,6,7,1,2,8,4]=>[4,8,2,1,7,6,5,3]=>0000000 [3,1,5,6,7,8,2,4]=>[4,2,8,7,6,5,1,3]=>0000000 [3,5,6,1,7,8,2,4]=>[4,2,8,7,1,6,5,3]=>0000000 [3,5,6,7,1,8,2,4]=>[4,2,8,1,7,6,5,3]=>0000000 [3,5,6,7,8,1,2,4]=>[4,2,1,8,7,6,5,3]=>0000000 [3,1,5,2,7,4,8,6]=>[6,8,4,7,2,5,1,3]=>0000000 [3,5,1,2,7,4,8,6]=>[6,8,4,7,2,1,5,3]=>0000000 [3,1,5,7,2,4,8,6]=>[6,8,4,2,7,5,1,3]=>0000000 [3,5,1,7,2,4,8,6]=>[6,8,4,2,7,1,5,3]=>0000000 [3,5,7,1,2,4,8,6]=>[6,8,4,2,1,7,5,3]=>0000000 [3,5,1,2,7,8,4,6]=>[6,4,8,7,2,1,5,3]=>0000000 [3,1,5,7,2,8,4,6]=>[6,4,8,2,7,5,1,3]=>0000000 [3,5,1,7,2,8,4,6]=>[6,4,8,2,7,1,5,3]=>0000000 [3,1,5,7,8,2,4,6]=>[6,4,2,8,7,5,1,3]=>0000000 [3,5,1,7,8,2,4,6]=>[6,4,2,8,7,1,5,3]=>0000000 [3,5,7,8,1,2,4,6]=>[6,4,2,1,8,7,5,3]=>0000000 [3,1,5,2,7,4,6,8]=>[8,6,4,7,2,5,1,3]=>0000000 [3,5,7,1,2,4,6,8]=>[8,6,4,2,1,7,5,3]=>0000000 [3,1,5,2,4,7,8,6]=>[6,8,7,4,2,5,1,3]=>0000000 [1,3,5,2,7,4,8,6]=>[6,8,4,7,2,5,3,1]=>0000000 [1,3,5,7,2,4,8,6]=>[6,8,4,2,7,5,3,1]=>0000000 [1,3,2,5,7,8,4,6]=>[6,4,8,7,5,2,3,1]=>0000000 [1,3,5,2,7,8,4,6]=>[6,4,8,7,2,5,3,1]=>0000000 [1,3,5,7,8,2,4,6]=>[6,4,2,8,7,5,3,1]=>0000000 [3,1,5,2,8,4,6,7]=>[7,6,4,8,2,5,1,3]=>0000000 [1,3,2,5,8,4,6,7]=>[7,6,4,8,5,2,3,1]=>0000000 [1,3,5,8,2,4,6,7]=>[7,6,4,2,8,5,3,1]=>0000000 [3,1,2,5,6,8,4,7]=>[7,4,8,6,5,2,1,3]=>0000000 [1,3,5,2,6,8,4,7]=>[7,4,8,6,2,5,3,1]=>0000000 [1,3,5,6,8,2,4,7]=>[7,4,2,8,6,5,3,1]=>0000000 [1,3,5,2,6,7,4,8]=>[8,4,7,6,2,5,3,1]=>0000000 [1,3,5,6,2,7,4,8]=>[8,4,7,2,6,5,3,1]=>0000000 [1,3,5,6,2,7,8,4]=>[4,8,7,2,6,5,3,1]=>0000000 [1,3,5,6,7,2,8,4]=>[4,8,2,7,6,5,3,1]=>0000000 [1,3,5,6,7,8,2,4]=>[4,2,8,7,6,5,3,1]=>0000000 [3,1,6,2,7,4,8,5]=>[5,8,4,7,2,6,1,3]=>0000000 [3,6,1,2,7,4,8,5]=>[5,8,4,7,2,1,6,3]=>0000000 [3,6,1,7,2,4,8,5]=>[5,8,4,2,7,1,6,3]=>0000000 [3,6,1,7,2,8,4,5]=>[5,4,8,2,7,1,6,3]=>0000000 [3,6,7,1,2,8,4,5]=>[5,4,8,2,1,7,6,3]=>0000000 [3,1,6,7,8,2,4,5]=>[5,4,2,8,7,6,1,3]=>0000000 [3,6,1,7,8,2,4,5]=>[5,4,2,8,7,1,6,3]=>0000000 [3,6,7,1,8,2,4,5]=>[5,4,2,8,1,7,6,3]=>0000000 [3,6,7,8,1,2,4,5]=>[5,4,2,1,8,7,6,3]=>0000000 [3,1,6,7,2,4,5,8]=>[8,5,4,2,7,6,1,3]=>0000000 [3,1,6,2,4,7,5,8]=>[8,5,7,4,2,6,1,3]=>0000000 [3,6,1,2,4,7,5,8]=>[8,5,7,4,2,1,6,3]=>0000000 [3,1,2,6,4,7,5,8]=>[8,5,7,4,6,2,1,3]=>0000000 [3,1,2,6,7,4,5,8]=>[8,5,4,7,6,2,1,3]=>0000000 [1,3,6,7,2,4,5,8]=>[8,5,4,2,7,6,3,1]=>0000000 [3,1,2,6,4,7,8,5]=>[5,8,7,4,6,2,1,3]=>0000000 [1,3,2,6,4,7,8,5]=>[5,8,7,4,6,2,3,1]=>0000000 [1,3,6,2,4,7,8,5]=>[5,8,7,4,2,6,3,1]=>0000000 [3,1,2,6,7,4,8,5]=>[5,8,4,7,6,2,1,3]=>0000000 [1,3,2,6,7,4,8,5]=>[5,8,4,7,6,2,3,1]=>0000000 [1,3,2,6,7,8,4,5]=>[5,4,8,7,6,2,3,1]=>0000000 [1,3,6,2,7,8,4,5]=>[5,4,8,7,2,6,3,1]=>0000000 [3,1,6,2,8,4,5,7]=>[7,5,4,8,2,6,1,3]=>0000000 [3,1,6,8,2,4,5,7]=>[7,5,4,2,8,6,1,3]=>0000000 [1,3,2,6,4,8,5,7]=>[7,5,8,4,6,2,3,1]=>0000000 [3,1,6,2,4,5,8,7]=>[7,8,5,4,2,6,1,3]=>0000000 [1,3,4,6,2,5,7,8]=>[8,7,5,2,6,4,3,1]=>0000000 [3,1,2,4,6,7,8,5]=>[5,8,7,6,4,2,1,3]=>0000000 [1,3,4,6,2,7,8,5]=>[5,8,7,2,6,4,3,1]=>0000000 [1,3,4,6,7,2,8,5]=>[5,8,2,7,6,4,3,1]=>0000000 [1,3,4,6,7,8,2,5]=>[5,2,8,7,6,4,3,1]=>0000000 [3,1,7,8,2,4,5,6]=>[6,5,4,2,8,7,1,3]=>0000000 [3,1,2,4,7,5,8,6]=>[6,8,5,7,4,2,1,3]=>0000000 [1,3,2,4,7,5,8,6]=>[6,8,5,7,4,2,3,1]=>0000000 [3,1,2,4,7,8,5,6]=>[6,5,8,7,4,2,1,3]=>0000000 [1,3,2,4,7,8,5,6]=>[6,5,8,7,4,2,3,1]=>0000000 [1,3,4,2,7,8,5,6]=>[6,5,8,7,2,4,3,1]=>0000000 [1,3,4,5,7,2,8,6]=>[6,8,2,7,5,4,3,1]=>0000000 [3,1,2,4,8,5,6,7]=>[7,6,5,8,4,2,1,3]=>0000000 [1,3,2,4,8,5,6,7]=>[7,6,5,8,4,2,3,1]=>0000000 [1,3,4,2,8,5,6,7]=>[7,6,5,8,2,4,3,1]=>0000000 [3,1,2,4,5,8,6,7]=>[7,6,8,5,4,2,1,3]=>0000000 [1,3,4,5,6,8,2,7]=>[7,2,8,6,5,4,3,1]=>0000000 [4,1,5,2,6,3,8,7]=>[7,8,3,6,2,5,1,4]=>0000000 [4,5,1,2,6,3,8,7]=>[7,8,3,6,2,1,5,4]=>0000000 [4,5,6,1,2,3,8,7]=>[7,8,3,2,1,6,5,4]=>0000000 [4,1,5,2,6,8,3,7]=>[7,3,8,6,2,5,1,4]=>0000000 [4,1,5,6,8,2,3,7]=>[7,3,2,8,6,5,1,4]=>0000000 [4,5,6,1,8,2,3,7]=>[7,3,2,8,1,6,5,4]=>0000000 [4,1,5,6,2,3,7,8]=>[8,7,3,2,6,5,1,4]=>0000000 [4,5,1,6,2,3,7,8]=>[8,7,3,2,6,1,5,4]=>0000000 [4,1,5,6,2,7,3,8]=>[8,3,7,2,6,5,1,4]=>0000000 [4,5,1,6,2,7,3,8]=>[8,3,7,2,6,1,5,4]=>0000000 [4,5,6,1,2,7,3,8]=>[8,3,7,2,1,6,5,4]=>0000000 [4,5,1,6,7,2,3,8]=>[8,3,2,7,6,1,5,4]=>0000000 [4,5,6,1,7,2,3,8]=>[8,3,2,7,1,6,5,4]=>0000000 [4,1,5,2,6,7,8,3]=>[3,8,7,6,2,5,1,4]=>0000000 [4,5,1,2,6,7,8,3]=>[3,8,7,6,2,1,5,4]=>0000000 [4,1,5,6,2,7,8,3]=>[3,8,7,2,6,5,1,4]=>0000000 [4,5,1,6,2,7,8,3]=>[3,8,7,2,6,1,5,4]=>0000000 [4,5,6,1,2,7,8,3]=>[3,8,7,2,1,6,5,4]=>0000000 [4,1,5,6,7,2,8,3]=>[3,8,2,7,6,5,1,4]=>0000000 [4,5,1,6,7,2,8,3]=>[3,8,2,7,6,1,5,4]=>0000000 [4,5,6,1,7,2,8,3]=>[3,8,2,7,1,6,5,4]=>0000000 [4,5,6,7,1,2,8,3]=>[3,8,2,1,7,6,5,4]=>0000000 [4,1,5,6,7,8,2,3]=>[3,2,8,7,6,5,1,4]=>0000000 [4,5,1,6,7,8,2,3]=>[3,2,8,7,6,1,5,4]=>0000000 [4,5,6,1,7,8,2,3]=>[3,2,8,7,1,6,5,4]=>0000000 [4,5,6,7,1,8,2,3]=>[3,2,8,1,7,6,5,4]=>0000000 [4,1,5,2,7,3,8,6]=>[6,8,3,7,2,5,1,4]=>0000000 [4,5,1,2,7,3,8,6]=>[6,8,3,7,2,1,5,4]=>0000000 [4,5,1,7,2,3,8,6]=>[6,8,3,2,7,1,5,4]=>0000000 [4,1,5,2,7,8,3,6]=>[6,3,8,7,2,5,1,4]=>0000000 [4,1,5,7,2,8,3,6]=>[6,3,8,2,7,5,1,4]=>0000000 [4,5,1,7,2,8,3,6]=>[6,3,8,2,7,1,5,4]=>0000000 [4,5,7,1,2,8,3,6]=>[6,3,8,2,1,7,5,4]=>0000000 [4,5,1,7,8,2,3,6]=>[6,3,2,8,7,1,5,4]=>0000000 [4,5,7,1,8,2,3,6]=>[6,3,2,8,1,7,5,4]=>0000000 [4,5,1,2,7,3,6,8]=>[8,6,3,7,2,1,5,4]=>0000000 [4,1,2,5,7,3,6,8]=>[8,6,3,7,5,2,1,4]=>0000000 [4,1,5,2,3,7,8,6]=>[6,8,7,3,2,5,1,4]=>0000000 [4,1,2,5,7,3,8,6]=>[6,8,3,7,5,2,1,4]=>0000000 [1,4,2,5,7,3,8,6]=>[6,8,3,7,5,2,4,1]=>0000000 [1,4,5,2,7,3,8,6]=>[6,8,3,7,2,5,4,1]=>0000000 [1,4,5,7,2,3,8,6]=>[6,8,3,2,7,5,4,1]=>0000000 [4,1,5,2,8,3,6,7]=>[7,6,3,8,2,5,1,4]=>0000000 [4,5,1,2,8,3,6,7]=>[7,6,3,8,2,1,5,4]=>0000000 [1,4,2,5,3,8,6,7]=>[7,6,8,3,5,2,4,1]=>0000000 [4,1,2,5,8,3,6,7]=>[7,6,3,8,5,2,1,4]=>0000000 [4,1,2,5,6,3,8,7]=>[7,8,3,6,5,2,1,4]=>0000000 [4,1,5,2,3,6,7,8]=>[8,7,6,3,2,5,1,4]=>0000000 [1,4,2,5,3,6,7,8]=>[8,7,6,3,5,2,4,1]=>0000000 [1,4,5,2,3,6,7,8]=>[8,7,6,3,2,5,4,1]=>0000000 [4,1,2,5,6,3,7,8]=>[8,7,3,6,5,2,1,4]=>0000000 [1,4,2,5,6,3,7,8]=>[8,7,3,6,5,2,4,1]=>0000000 [1,4,5,2,6,3,7,8]=>[8,7,3,6,2,5,4,1]=>0000000 [1,4,5,6,7,2,3,8]=>[8,3,2,7,6,5,4,1]=>0000000 [4,1,2,5,6,7,8,3]=>[3,8,7,6,5,2,1,4]=>0000000 [1,4,2,5,6,7,8,3]=>[3,8,7,6,5,2,4,1]=>0000000 [1,4,5,6,2,7,8,3]=>[3,8,7,2,6,5,4,1]=>0000000 [1,4,5,6,7,2,8,3]=>[3,8,2,7,6,5,4,1]=>0000000 [1,4,5,6,7,8,2,3]=>[3,2,8,7,6,5,4,1]=>0000000 [4,1,6,2,7,3,8,5]=>[5,8,3,7,2,6,1,4]=>0000000 [4,6,1,2,7,3,8,5]=>[5,8,3,7,2,1,6,4]=>0000000 [4,1,6,7,2,3,8,5]=>[5,8,3,2,7,6,1,4]=>0000000 [4,6,7,1,2,3,8,5]=>[5,8,3,2,1,7,6,4]=>0000000 [4,1,6,7,2,8,3,5]=>[5,3,8,2,7,6,1,4]=>0000000 [4,6,1,7,2,8,3,5]=>[5,3,8,2,7,1,6,4]=>0000000 [4,6,7,1,2,8,3,5]=>[5,3,8,2,1,7,6,4]=>0000000 [4,6,1,7,8,2,3,5]=>[5,3,2,8,7,1,6,4]=>0000000 [4,6,7,1,8,2,3,5]=>[5,3,2,8,1,7,6,4]=>0000000 [4,1,6,2,7,3,5,8]=>[8,5,3,7,2,6,1,4]=>0000000 [4,6,1,2,7,3,5,8]=>[8,5,3,7,2,1,6,4]=>0000000 [4,1,6,7,2,3,5,8]=>[8,5,3,2,7,6,1,4]=>0000000 [4,6,1,7,2,3,5,8]=>[8,5,3,2,7,1,6,4]=>0000000 [4,6,1,2,3,7,5,8]=>[8,5,7,3,2,1,6,4]=>0000000 [4,6,1,2,3,7,8,5]=>[5,8,7,3,2,1,6,4]=>0000000 [1,4,6,2,3,7,8,5]=>[5,8,7,3,2,6,4,1]=>0000000 [1,4,2,6,7,3,8,5]=>[5,8,3,7,6,2,4,1]=>0000000 [1,4,6,2,7,3,8,5]=>[5,8,3,7,2,6,4,1]=>0000000 [1,4,6,7,2,3,8,5]=>[5,8,3,2,7,6,4,1]=>0000000 [1,4,2,6,7,8,3,5]=>[5,3,8,7,6,2,4,1]=>0000000 [1,4,6,2,7,8,3,5]=>[5,3,8,7,2,6,4,1]=>0000000 [1,4,6,7,2,8,3,5]=>[5,3,8,2,7,6,4,1]=>0000000 [4,1,6,2,8,3,5,7]=>[7,5,3,8,2,6,1,4]=>0000000 [4,1,6,8,2,3,5,7]=>[7,5,3,2,8,6,1,4]=>0000000 [4,6,1,8,2,3,5,7]=>[7,5,3,2,8,1,6,4]=>0000000 [4,1,6,2,3,8,5,7]=>[7,5,8,3,2,6,1,4]=>0000000 [4,6,1,2,3,8,5,7]=>[7,5,8,3,2,1,6,4]=>0000000 [4,1,2,6,3,8,5,7]=>[7,5,8,3,6,2,1,4]=>0000000 [1,4,2,6,3,8,5,7]=>[7,5,8,3,6,2,4,1]=>0000000 [1,4,2,6,8,3,5,7]=>[7,5,3,8,6,2,4,1]=>0000000 [1,4,6,2,8,3,5,7]=>[7,5,3,8,2,6,4,1]=>0000000 [4,6,1,2,3,5,8,7]=>[7,8,5,3,2,1,6,4]=>0000000 [4,1,2,3,6,5,8,7]=>[7,8,5,6,3,2,1,4]=>0000000 [4,1,2,3,6,8,5,7]=>[7,5,8,6,3,2,1,4]=>0000000 [4,6,1,2,3,5,7,8]=>[8,7,5,3,2,1,6,4]=>0000000 [1,4,6,2,3,5,7,8]=>[8,7,5,3,2,6,4,1]=>0000000 [4,1,2,3,6,5,7,8]=>[8,7,5,6,3,2,1,4]=>0000000 [1,2,4,6,3,5,7,8]=>[8,7,5,3,6,4,2,1]=>0000000 [4,1,2,3,6,7,5,8]=>[8,5,7,6,3,2,1,4]=>0000000 [4,1,2,3,6,7,8,5]=>[5,8,7,6,3,2,1,4]=>0000000 [1,4,2,3,6,7,8,5]=>[5,8,7,6,3,2,4,1]=>0000000 [1,2,4,6,3,7,8,5]=>[5,8,7,3,6,4,2,1]=>0000000 [4,1,7,8,2,3,5,6]=>[6,5,3,2,8,7,1,4]=>0000000 [4,7,1,8,2,3,5,6]=>[6,5,3,2,8,1,7,4]=>0000000 [4,7,8,1,2,3,5,6]=>[6,5,3,2,1,8,7,4]=>0000000 [4,7,1,2,3,8,5,6]=>[6,5,8,3,2,1,7,4]=>0000000 [4,1,2,7,8,3,5,6]=>[6,5,3,8,7,2,1,4]=>0000000 [1,4,2,7,8,3,5,6]=>[6,5,3,8,7,2,4,1]=>0000000 [1,4,7,2,8,3,5,6]=>[6,5,3,8,2,7,4,1]=>0000000 [4,1,2,7,3,5,8,6]=>[6,8,5,3,7,2,1,4]=>0000000 [1,4,2,7,3,5,8,6]=>[6,8,5,3,7,2,4,1]=>0000000 [4,1,2,3,7,5,8,6]=>[6,8,5,7,3,2,1,4]=>0000000 [1,2,4,3,7,5,8,6]=>[6,8,5,7,3,4,2,1]=>0000000 [4,1,2,3,7,8,5,6]=>[6,5,8,7,3,2,1,4]=>0000000 [1,4,2,3,7,8,5,6]=>[6,5,8,7,3,2,4,1]=>0000000 [1,2,4,3,7,8,5,6]=>[6,5,8,7,3,4,2,1]=>0000000 [1,2,4,7,3,8,5,6]=>[6,5,8,3,7,4,2,1]=>0000000 [4,1,2,3,7,5,6,8]=>[8,6,5,7,3,2,1,4]=>0000000 [1,4,2,3,7,5,6,8]=>[8,6,5,7,3,2,4,1]=>0000000 [4,1,2,3,5,7,6,8]=>[8,6,7,5,3,2,1,4]=>0000000 [4,1,2,3,5,7,8,6]=>[6,8,7,5,3,2,1,4]=>0000000 [1,2,4,5,7,8,3,6]=>[6,3,8,7,5,4,2,1]=>0000000 [4,1,2,3,8,5,6,7]=>[7,6,5,8,3,2,1,4]=>0000000 [1,4,2,3,8,5,6,7]=>[7,6,5,8,3,2,4,1]=>0000000 [1,2,4,3,8,5,6,7]=>[7,6,5,8,3,4,2,1]=>0000000 [4,1,2,3,5,8,6,7]=>[7,6,8,5,3,2,1,4]=>0000000 [4,1,2,3,5,6,8,7]=>[7,8,6,5,3,2,1,4]=>0000000 [5,1,6,2,7,3,8,4]=>[4,8,3,7,2,6,1,5]=>0000000 [5,6,1,2,7,3,8,4]=>[4,8,3,7,2,1,6,5]=>0000000 [5,1,6,7,2,3,8,4]=>[4,8,3,2,7,6,1,5]=>0000000 [5,6,7,1,2,3,8,4]=>[4,8,3,2,1,7,6,5]=>0000000 [5,1,6,2,7,8,3,4]=>[4,3,8,7,2,6,1,5]=>0000000 [5,1,6,7,2,8,3,4]=>[4,3,8,2,7,6,1,5]=>0000000 [5,6,1,7,2,8,3,4]=>[4,3,8,2,7,1,6,5]=>0000000 [5,1,6,7,8,2,3,4]=>[4,3,2,8,7,6,1,5]=>0000000 [5,1,6,7,2,3,4,8]=>[8,4,3,2,7,6,1,5]=>0000000 [5,1,2,6,3,7,4,8]=>[8,4,7,3,6,2,1,5]=>0000000 [1,5,2,6,3,7,4,8]=>[8,4,7,3,6,2,5,1]=>0000000 [5,1,6,2,3,7,8,4]=>[4,8,7,3,2,6,1,5]=>0000000 [5,6,1,2,3,7,8,4]=>[4,8,7,3,2,1,6,5]=>0000000 [5,1,2,6,3,7,8,4]=>[4,8,7,3,6,2,1,5]=>0000000 [1,5,2,6,3,7,8,4]=>[4,8,7,3,6,2,5,1]=>0000000 [1,5,6,2,3,7,8,4]=>[4,8,7,3,2,6,5,1]=>0000000 [1,5,2,6,7,3,8,4]=>[4,8,3,7,6,2,5,1]=>0000000 [1,5,6,7,2,3,8,4]=>[4,8,3,2,7,6,5,1]=>0000000 [5,1,2,6,7,8,3,4]=>[4,3,8,7,6,2,1,5]=>0000000 [1,5,2,6,7,8,3,4]=>[4,3,8,7,6,2,5,1]=>0000000 [1,5,6,2,7,8,3,4]=>[4,3,8,7,2,6,5,1]=>0000000 [1,5,6,7,2,8,3,4]=>[4,3,8,2,7,6,5,1]=>0000000 [1,5,6,7,8,2,3,4]=>[4,3,2,8,7,6,5,1]=>0000000 [5,1,6,8,2,3,4,7]=>[7,4,3,2,8,6,1,5]=>0000000 [5,6,1,8,2,3,4,7]=>[7,4,3,2,8,1,6,5]=>0000000 [5,6,8,1,2,3,4,7]=>[7,4,3,2,1,8,6,5]=>0000000 [5,1,6,2,3,8,4,7]=>[7,4,8,3,2,6,1,5]=>0000000 [5,6,1,2,3,8,4,7]=>[7,4,8,3,2,1,6,5]=>0000000 [5,1,2,6,3,8,4,7]=>[7,4,8,3,6,2,1,5]=>0000000 [1,5,2,6,3,8,4,7]=>[7,4,8,3,6,2,5,1]=>0000000 [1,5,6,2,3,8,4,7]=>[7,4,8,3,2,6,5,1]=>0000000 [5,1,2,6,8,3,4,7]=>[7,4,3,8,6,2,1,5]=>0000000 [1,5,2,6,8,3,4,7]=>[7,4,3,8,6,2,5,1]=>0000000 [5,6,1,2,3,4,8,7]=>[7,8,4,3,2,1,6,5]=>0000000 [5,1,2,6,3,4,8,7]=>[7,8,4,3,6,2,1,5]=>0000000 [1,5,2,3,6,8,4,7]=>[7,4,8,6,3,2,5,1]=>0000000 [1,2,5,6,3,4,7,8]=>[8,7,4,3,6,5,2,1]=>0000000 [5,1,2,3,6,7,4,8]=>[8,4,7,6,3,2,1,5]=>0000000 [1,2,5,3,6,7,4,8]=>[8,4,7,6,3,5,2,1]=>0000000 [1,2,5,6,3,7,4,8]=>[8,4,7,3,6,5,2,1]=>0000000 [5,1,2,3,6,7,8,4]=>[4,8,7,6,3,2,1,5]=>0000000 [1,5,2,3,6,7,8,4]=>[4,8,7,6,3,2,5,1]=>0000000 [1,2,5,3,6,7,8,4]=>[4,8,7,6,3,5,2,1]=>0000000 [1,2,5,6,3,7,8,4]=>[4,8,7,3,6,5,2,1]=>0000000 [1,2,5,6,7,3,8,4]=>[4,8,3,7,6,5,2,1]=>0000000 [5,1,7,2,8,3,4,6]=>[6,4,3,8,2,7,1,5]=>0000000 [5,7,8,1,2,3,4,6]=>[6,4,3,2,1,8,7,5]=>0000000 [5,1,7,2,3,8,4,6]=>[6,4,8,3,2,7,1,5]=>0000000 [5,1,2,7,8,3,4,6]=>[6,4,3,8,7,2,1,5]=>0000000 [1,5,7,2,8,3,4,6]=>[6,4,3,8,2,7,5,1]=>0000000 [5,1,7,2,3,4,8,6]=>[6,8,4,3,2,7,1,5]=>0000000 [5,1,2,7,3,4,8,6]=>[6,8,4,3,7,2,1,5]=>0000000 [5,1,2,3,7,4,8,6]=>[6,8,4,7,3,2,1,5]=>0000000 [1,5,2,3,7,4,8,6]=>[6,8,4,7,3,2,5,1]=>0000000 [1,2,5,3,7,4,8,6]=>[6,8,4,7,3,5,2,1]=>0000000 [1,2,5,3,7,8,4,6]=>[6,4,8,7,3,5,2,1]=>0000000 [5,7,1,2,3,4,6,8]=>[8,6,4,3,2,1,7,5]=>0000000 [1,5,2,7,3,4,6,8]=>[8,6,4,3,7,2,5,1]=>0000000 [5,1,2,3,4,7,6,8]=>[8,6,7,4,3,2,1,5]=>0000000 [5,1,2,3,4,7,8,6]=>[6,8,7,4,3,2,1,5]=>0000000 [5,8,1,2,3,4,6,7]=>[7,6,4,3,2,1,8,5]=>0000000 [5,1,2,8,3,4,6,7]=>[7,6,4,3,8,2,1,5]=>0000000 [1,5,2,8,3,4,6,7]=>[7,6,4,3,8,2,5,1]=>0000000 [5,1,2,3,4,8,6,7]=>[7,6,8,4,3,2,1,5]=>0000000 [5,1,2,3,4,6,8,7]=>[7,8,6,4,3,2,1,5]=>0000000 [6,7,1,2,8,3,4,5]=>[5,4,3,8,2,1,7,6]=>0000000 [6,1,7,8,2,3,4,5]=>[5,4,3,2,8,7,1,6]=>0000000 [6,7,1,8,2,3,4,5]=>[5,4,3,2,8,1,7,6]=>0000000 [6,7,1,2,3,8,4,5]=>[5,4,8,3,2,1,7,6]=>0000000 [1,6,7,2,3,8,4,5]=>[5,4,8,3,2,7,6,1]=>0000000 [1,6,7,2,8,3,4,5]=>[5,4,3,8,2,7,6,1]=>0000000 [1,6,7,8,2,3,4,5]=>[5,4,3,2,8,7,6,1]=>0000000 [1,2,6,3,7,4,8,5]=>[5,8,4,7,3,6,2,1]=>0000000 [6,1,2,3,7,8,4,5]=>[5,4,8,7,3,2,1,6]=>0000000 [1,6,7,2,3,4,5,8]=>[8,5,4,3,2,7,6,1]=>0000000 [6,1,2,3,4,7,5,8]=>[8,5,7,4,3,2,1,6]=>0000000 [1,6,2,3,4,7,5,8]=>[8,5,7,4,3,2,6,1]=>0000000 [6,1,2,3,4,7,8,5]=>[5,8,7,4,3,2,1,6]=>0000000 [1,2,6,3,4,7,8,5]=>[5,8,7,4,3,6,2,1]=>0000000 [6,1,8,2,3,4,5,7]=>[7,5,4,3,2,8,1,6]=>0000000 [6,1,2,8,3,4,5,7]=>[7,5,4,3,8,2,1,6]=>0000000 [6,1,2,3,4,8,5,7]=>[7,5,8,4,3,2,1,6]=>0000000 [6,1,2,3,4,5,8,7]=>[7,8,5,4,3,2,1,6]=>0000000 [1,2,6,3,4,5,8,7]=>[7,8,5,4,3,6,2,1]=>0000000 [1,2,6,3,4,5,7,8]=>[8,7,5,4,3,6,2,1]=>0000000 [7,1,8,2,3,4,5,6]=>[6,5,4,3,2,8,1,7]=>0000000 [7,1,2,8,3,4,5,6]=>[6,5,4,3,8,2,1,7]=>0000000 [1,7,2,8,3,4,5,6]=>[6,5,4,3,8,2,7,1]=>0000000 [1,7,8,2,3,4,5,6]=>[6,5,4,3,2,8,7,1]=>0000000 [7,1,2,3,4,8,5,6]=>[6,5,8,4,3,2,1,7]=>0000000 [7,1,2,3,4,5,8,6]=>[6,8,5,4,3,2,1,7]=>0000000 [1,2,3,4,7,8,5,6]=>[6,5,8,7,4,3,2,1]=>0000000 [1,2,3,8,4,5,6,7]=>[7,6,5,4,8,3,2,1]=>0000000 [1,2,3,4,8,5,6,7]=>[7,6,5,8,4,3,2,1]=>0000000 [5,3,2,6,1,4,8,7]=>[7,8,4,1,6,2,3,5]=>0000000 [7,3,2,5,4,8,1,6]=>[6,1,8,4,5,2,3,7]=>0000000 [8,4,5,2,3,7,6,1]=>[1,6,7,3,2,5,4,8]=>1000001 [7,4,5,2,3,8,1,6]=>[6,1,8,3,2,5,4,7]=>0000000 [6,4,5,2,3,1,8,7]=>[7,8,1,3,2,5,4,6]=>0000000 [5,4,6,2,1,3,8,7]=>[7,8,3,1,2,6,4,5]=>0000000 [3,6,1,5,4,2,8,7]=>[7,8,2,4,5,1,6,3]=>0000000 [4,6,5,1,3,2,8,7]=>[7,8,2,3,1,5,6,4]=>0000000 [5,6,4,3,1,2,8,7]=>[7,8,2,1,3,4,6,5]=>0000000 [7,5,4,3,2,8,1,6]=>[6,1,8,2,3,4,5,7]=>0000000 [8,6,4,3,7,2,5,1]=>[1,5,2,7,3,4,6,8]=>1000001 [7,6,4,3,8,2,1,5]=>[5,1,2,8,3,4,6,7]=>0000000 [6,7,4,3,8,1,2,5]=>[5,2,1,8,3,4,7,6]=>0000000 [5,7,4,3,1,8,2,6]=>[6,2,8,1,3,4,7,5]=>0000000 [4,7,5,1,3,8,2,6]=>[6,2,8,3,1,5,7,4]=>0000000 [3,7,1,5,4,8,2,6]=>[6,2,8,4,5,1,7,3]=>0000000 [2,1,7,5,4,8,3,6]=>[6,3,8,4,5,7,1,2]=>0000000 [3,8,1,5,4,7,6,2]=>[2,6,7,4,5,1,8,3]=>0000000 [4,8,5,1,3,7,6,2]=>[2,6,7,3,1,5,8,4]=>0000000 [5,8,4,3,1,7,6,2]=>[2,6,7,1,3,4,8,5]=>0000000 [6,8,4,3,7,1,5,2]=>[2,5,1,7,3,4,8,6]=>0000000 [7,8,4,3,6,5,1,2]=>[2,1,5,6,3,4,8,7]=>0100010 [6,8,5,7,3,1,4,2]=>[2,4,1,3,7,5,8,6]=>0001000 [5,8,6,7,1,3,4,2]=>[2,4,3,1,7,6,8,5]=>0001000 [4,8,6,1,7,3,5,2]=>[2,5,3,7,1,6,8,4]=>0000000 [3,8,1,6,7,4,5,2]=>[2,5,4,7,6,1,8,3]=>0000000 [2,1,8,6,7,4,5,3]=>[3,5,4,7,6,8,1,2]=>0000000 [2,1,7,6,8,4,3,5]=>[5,3,4,8,6,7,1,2]=>0000000 [3,7,1,6,8,4,2,5]=>[5,2,4,8,6,1,7,3]=>0000000 [4,7,6,1,8,3,2,5]=>[5,2,3,8,1,6,7,4]=>0000000 [5,7,6,8,1,3,2,4]=>[4,2,3,1,8,6,7,5]=>0001000 [5,4,7,2,1,8,3,6]=>[6,3,8,1,2,7,4,5]=>0000000 [6,4,7,2,8,1,3,5]=>[5,3,1,8,2,7,4,6]=>0000000 [7,4,6,2,8,3,1,5]=>[5,1,3,8,2,6,4,7]=>0000000 [8,4,6,2,7,3,5,1]=>[1,5,3,7,2,6,4,8]=>1000001 [8,3,2,6,7,4,5,1]=>[1,5,4,7,6,2,3,8]=>1000001 [7,3,2,6,8,4,1,5]=>[5,1,4,8,6,2,3,7]=>0000000 [6,3,2,7,8,1,4,5]=>[5,4,1,8,7,2,3,6]=>0000000 [5,3,2,7,1,8,4,6]=>[6,4,8,1,7,2,3,5]=>0000000 [4,3,2,1,7,8,5,6]=>[6,5,8,7,1,2,3,4]=>0000000 [3,4,1,2,8,7,6,5]=>[5,6,7,8,2,1,4,3]=>0000000 [5,3,2,8,1,7,6,4]=>[4,6,7,1,8,2,3,5]=>0000000 [6,3,2,8,7,1,5,4]=>[4,5,1,7,8,2,3,6]=>0000000 [7,3,2,8,6,5,1,4]=>[4,1,5,6,8,2,3,7]=>0000000 [8,4,7,2,6,5,3,1]=>[1,3,5,6,2,7,4,8]=>1000001 [7,4,8,2,6,5,1,3]=>[3,1,5,6,2,8,4,7]=>0000000 [6,4,8,2,7,1,5,3]=>[3,5,1,7,2,8,4,6]=>0000000 [5,4,8,2,1,7,6,3]=>[3,6,7,1,2,8,4,5]=>0000000 [4,5,8,1,2,7,6,3]=>[3,6,7,2,1,8,5,4]=>0000000 [3,5,1,8,2,7,6,4]=>[4,6,7,2,8,1,5,3]=>0000000 [2,1,5,8,3,7,6,4]=>[4,6,7,3,8,5,1,2]=>0000000 [2,1,6,8,7,3,5,4]=>[4,5,3,7,8,6,1,2]=>0000000 [3,6,1,8,7,2,5,4]=>[4,5,2,7,8,1,6,3]=>0000000 [4,6,8,1,7,2,5,3]=>[3,5,2,7,1,8,6,4]=>0000000 [5,6,8,7,1,2,4,3]=>[3,4,2,1,7,8,6,5]=>0001000 [6,5,8,7,2,1,4,3]=>[3,4,1,2,7,8,5,6]=>0001000 [7,5,8,6,2,4,1,3]=>[3,1,4,2,6,8,5,7]=>0001000 [8,5,7,6,2,4,3,1]=>[1,3,4,2,6,7,5,8]=>1001001 [5,7,8,6,1,4,2,3]=>[3,2,4,1,6,8,7,5]=>0001000 [4,7,8,1,6,5,2,3]=>[3,2,5,6,1,8,7,4]=>0000000 [3,7,1,8,6,5,2,4]=>[4,2,5,6,8,1,7,3]=>0000000 [2,1,7,8,6,5,3,4]=>[4,3,5,6,8,7,1,2]=>0000000 [3,8,1,7,6,5,4,2]=>[2,4,5,6,7,1,8,3]=>0000000 [4,8,7,1,6,5,3,2]=>[2,3,5,6,1,7,8,4]=>0000000 [5,8,7,6,1,4,3,2]=>[2,3,4,1,6,7,8,5]=>0001000 [6,8,7,5,4,1,3,2]=>[2,3,1,4,5,7,8,6]=>0011100 [2,1,4,3,6,5,8,7,10,9]=>[9,10,7,8,5,6,3,4,1,2]=>000000000 [5,2,4,1,3,6,7,8]=>[8,7,6,3,1,4,2,5]=>0000000 [6,3,5,1,2,4,7,8]=>[8,7,4,2,1,5,3,6]=>0000000 [7,3,5,1,2,4,6,8]=>[8,6,4,2,1,5,3,7]=>0000000 [7,4,6,1,2,3,5,8]=>[8,5,3,2,1,6,4,7]=>0000000 [5,2,8,1,3,4,6,7]=>[7,6,4,3,1,8,2,5]=>0000000 [6,4,8,1,2,3,5,7]=>[7,5,3,2,1,8,4,6]=>0000000 [6,5,8,1,2,3,4,7]=>[7,4,3,2,1,8,5,6]=>0000000 [7,5,8,1,2,3,4,6]=>[6,4,3,2,1,8,5,7]=>0000000 [8,3,5,1,2,4,6,7]=>[7,6,4,2,1,5,3,8]=>0000001 [8,5,7,1,2,3,4,6]=>[6,4,3,2,1,7,5,8]=>0000001 [5,2,6,7,1,3,4,8]=>[8,4,3,1,7,6,2,5]=>0000000 [5,3,6,7,1,2,4,8]=>[8,4,2,1,7,6,3,5]=>0000000 [6,3,4,7,1,2,5,8]=>[8,5,2,1,7,4,3,6]=>0000000 [6,3,5,7,1,2,4,8]=>[8,4,2,1,7,5,3,6]=>0000000 [7,2,4,6,1,3,5,8]=>[8,5,3,1,6,4,2,7]=>0000000 [7,3,4,6,1,2,5,8]=>[8,5,2,1,6,4,3,7]=>0000000 [7,3,5,6,1,2,4,8]=>[8,4,2,1,6,5,3,7]=>0000000 [3,2,5,8,1,4,6,7]=>[7,6,4,1,8,5,2,3]=>0000000 [4,2,5,8,1,3,6,7]=>[7,6,3,1,8,5,2,4]=>0000000 [5,2,4,8,1,3,6,7]=>[7,6,3,1,8,4,2,5]=>0000000 [5,3,4,8,1,2,6,7]=>[7,6,2,1,8,4,3,5]=>0000000 [4,2,6,8,1,3,5,7]=>[7,5,3,1,8,6,2,4]=>0000000 [6,3,5,8,1,2,4,7]=>[7,4,2,1,8,5,3,6]=>0000000 [3,2,7,8,1,4,5,6]=>[6,5,4,1,8,7,2,3]=>0000000 [4,3,7,8,1,2,5,6]=>[6,5,2,1,8,7,3,4]=>0000000 [5,4,7,8,1,2,3,6]=>[6,3,2,1,8,7,4,5]=>0000000 [7,2,4,8,1,3,5,6]=>[6,5,3,1,8,4,2,7]=>0000000 [7,3,5,8,1,2,4,6]=>[6,4,2,1,8,5,3,7]=>0000000 [8,2,5,6,1,3,4,7]=>[7,4,3,1,6,5,2,8]=>0000001 [8,3,5,7,1,2,4,6]=>[6,4,2,1,7,5,3,8]=>0000001 [5,6,2,4,1,3,7,8]=>[8,7,3,1,4,2,6,5]=>0000000 [3,7,2,5,1,4,6,8]=>[8,6,4,1,5,2,7,3]=>0000000 [5,8,2,6,1,3,4,7]=>[7,4,3,1,6,2,8,5]=>0000000 [5,8,4,6,1,2,3,7]=>[7,3,2,1,6,4,8,5]=>0000000 [6,8,3,4,1,2,5,7]=>[7,5,2,1,4,3,8,6]=>0000000 [3,8,2,7,1,4,5,6]=>[6,5,4,1,7,2,8,3]=>0000000 [4,8,2,7,1,3,5,6]=>[6,5,3,1,7,2,8,4]=>0000000 [4,8,3,7,1,2,5,6]=>[6,5,2,1,7,3,8,4]=>0000000 [5,8,2,7,1,3,4,6]=>[6,4,3,1,7,2,8,5]=>0000000 [5,8,3,7,1,2,4,6]=>[6,4,2,1,7,3,8,5]=>0000000 [6,8,2,7,1,3,4,5]=>[5,4,3,1,7,2,8,6]=>0000000 [6,8,5,7,1,2,3,4]=>[4,3,2,1,7,5,8,6]=>0001000 [7,8,2,4,1,3,5,6]=>[6,5,3,1,4,2,8,7]=>0000010 [7,8,2,5,1,3,4,6]=>[6,4,3,1,5,2,8,7]=>0000010 [7,8,3,5,1,2,4,6]=>[6,4,2,1,5,3,8,7]=>0000010 [4,3,2,6,1,5,7,8]=>[8,7,5,1,6,2,3,4]=>0000000 [5,3,2,6,1,4,7,8]=>[8,7,4,1,6,2,3,5]=>0000000 [5,4,2,6,1,3,7,8]=>[8,7,3,1,6,2,4,5]=>0000000 [6,4,2,5,1,3,7,8]=>[8,7,3,1,5,2,4,6]=>0000000 [6,5,2,4,1,3,7,8]=>[8,7,3,1,4,2,5,6]=>0000000 [5,3,2,7,1,4,6,8]=>[8,6,4,1,7,2,3,5]=>0000000 [5,4,2,7,1,3,6,8]=>[8,6,3,1,7,2,4,5]=>0000000 [5,4,3,7,1,2,6,8]=>[8,6,2,1,7,3,4,5]=>0000000 [6,4,2,7,1,3,5,8]=>[8,5,3,1,7,2,4,6]=>0000000 [6,4,3,7,1,2,5,8]=>[8,5,2,1,7,3,4,6]=>0000000 [6,5,3,7,1,2,4,8]=>[8,4,2,1,7,3,5,6]=>0000000 [7,3,2,5,1,4,6,8]=>[8,6,4,1,5,2,3,7]=>0000000 [7,4,2,5,1,3,6,8]=>[8,6,3,1,5,2,4,7]=>0000000 [7,3,2,6,1,4,5,8]=>[8,5,4,1,6,2,3,7]=>0000000 [7,6,3,5,1,2,4,8]=>[8,4,2,1,5,3,6,7]=>0000000 [4,3,2,8,1,5,6,7]=>[7,6,5,1,8,2,3,4]=>0000000 [5,3,2,8,1,4,6,7]=>[7,6,4,1,8,2,3,5]=>0000000 [5,4,2,8,1,3,6,7]=>[7,6,3,1,8,2,4,5]=>0000000 [5,4,3,8,1,2,6,7]=>[7,6,2,1,8,3,4,5]=>0000000 [6,3,2,8,1,4,5,7]=>[7,5,4,1,8,2,3,6]=>0000000 [6,4,3,8,1,2,5,7]=>[7,5,2,1,8,3,4,6]=>0000000 [6,5,2,8,1,3,4,7]=>[7,4,3,1,8,2,5,6]=>0000000 [6,5,3,8,1,2,4,7]=>[7,4,2,1,8,3,5,6]=>0000000 [6,5,4,8,1,2,3,7]=>[7,3,2,1,8,4,5,6]=>0000000 [7,4,2,8,1,3,5,6]=>[6,5,3,1,8,2,4,7]=>0000000 [7,4,3,8,1,2,5,6]=>[6,5,2,1,8,3,4,7]=>0000000 [7,5,2,8,1,3,4,6]=>[6,4,3,1,8,2,5,7]=>0000000 [7,5,3,8,1,2,4,6]=>[6,4,2,1,8,3,5,7]=>0000000 [7,6,4,8,1,2,3,5]=>[5,3,2,1,8,4,6,7]=>0000000 [8,3,2,6,1,4,5,7]=>[7,5,4,1,6,2,3,8]=>0000001 [8,4,2,7,1,3,5,6]=>[6,5,3,1,7,2,4,8]=>0000001 [8,5,2,7,1,3,4,6]=>[6,4,3,1,7,2,5,8]=>0000001 [8,5,3,7,1,2,4,6]=>[6,4,2,1,7,3,5,8]=>0000001 [8,5,4,7,1,2,3,6]=>[6,3,2,1,7,4,5,8]=>0000001 [8,6,3,7,1,2,4,5]=>[5,4,2,1,7,3,6,8]=>0000001 [8,7,2,4,1,3,5,6]=>[6,5,3,1,4,2,7,8]=>0000011 [8,7,2,5,1,3,4,6]=>[6,4,3,1,5,2,7,8]=>0000011 [8,7,3,5,1,2,4,6]=>[6,4,2,1,5,3,7,8]=>0000011 [8,7,2,6,1,3,4,5]=>[5,4,3,1,6,2,7,8]=>0000011 [8,7,3,6,1,2,4,5]=>[5,4,2,1,6,3,7,8]=>0000011 [8,7,4,6,1,2,3,5]=>[5,3,2,1,6,4,7,8]=>0000011 [5,6,2,4,8,1,3,7]=>[7,3,1,8,4,2,6,5]=>0000000 [3,7,2,5,8,1,4,6]=>[6,4,1,8,5,2,7,3]=>0000000 [4,7,3,5,8,1,2,6]=>[6,2,1,8,5,3,7,4]=>0000000 [5,7,2,4,8,1,3,6]=>[6,3,1,8,4,2,7,5]=>0000000 [5,7,3,4,8,1,2,6]=>[6,2,1,8,4,3,7,5]=>0000000 [4,7,3,6,8,1,2,5]=>[5,2,1,8,6,3,7,4]=>0000000 [5,7,2,6,8,1,3,4]=>[4,3,1,8,6,2,7,5]=>0000000 [5,7,4,6,8,1,2,3]=>[3,2,1,8,6,4,7,5]=>0010000 [3,8,2,5,7,1,4,6]=>[6,4,1,7,5,2,8,3]=>0000000 [4,8,2,5,7,1,3,6]=>[6,3,1,7,5,2,8,4]=>0000000 [4,8,3,5,7,1,2,6]=>[6,2,1,7,5,3,8,4]=>0000000 [5,8,2,4,7,1,3,6]=>[6,3,1,7,4,2,8,5]=>0000000 [5,8,3,4,7,1,2,6]=>[6,2,1,7,4,3,8,5]=>0000000 [3,8,2,6,7,1,4,5]=>[5,4,1,7,6,2,8,3]=>0000000 [6,8,2,5,7,1,3,4]=>[4,3,1,7,5,2,8,6]=>0000000 [6,8,4,5,7,1,2,3]=>[3,2,1,7,5,4,8,6]=>0010000 [7,8,2,4,6,1,3,5]=>[5,3,1,6,4,2,8,7]=>0000010 [7,8,3,5,6,1,2,4]=>[4,2,1,6,5,3,8,7]=>0000010 [5,4,3,6,8,1,2,7]=>[7,2,1,8,6,3,4,5]=>0000000 [6,4,3,5,8,1,2,7]=>[7,2,1,8,5,3,4,6]=>0000000 [4,3,2,7,8,1,5,6]=>[6,5,1,8,7,2,3,4]=>0000000 [5,4,3,7,8,1,2,6]=>[6,2,1,8,7,3,4,5]=>0000000 [6,4,2,7,8,1,3,5]=>[5,3,1,8,7,2,4,6]=>0000000 [6,5,2,7,8,1,3,4]=>[4,3,1,8,7,2,5,6]=>0000000 [6,5,3,7,8,1,2,4]=>[4,2,1,8,7,3,5,6]=>0000000 [7,4,2,6,8,1,3,5]=>[5,3,1,8,6,2,4,7]=>0000000 [7,6,2,5,8,1,3,4]=>[4,3,1,8,5,2,6,7]=>0000000 [8,6,2,5,7,1,3,4]=>[4,3,1,7,5,2,6,8]=>0000001 [8,6,3,5,7,1,2,4]=>[4,2,1,7,5,3,6,8]=>0000001 [8,7,2,4,6,1,3,5]=>[5,3,1,6,4,2,7,8]=>0000011 [8,7,3,4,6,1,2,5]=>[5,2,1,6,4,3,7,8]=>0000011 [5,4,7,2,6,1,3,8]=>[8,3,1,6,2,7,4,5]=>0000000 [7,3,6,2,5,1,4,8]=>[8,4,1,5,2,6,3,7]=>0000000 [5,4,8,2,6,1,3,7]=>[7,3,1,6,2,8,4,5]=>0000000 [6,4,8,3,5,1,2,7]=>[7,2,1,5,3,8,4,6]=>0000000 [4,3,8,2,7,1,5,6]=>[6,5,1,7,2,8,3,4]=>0000000 [6,4,8,3,7,1,2,5]=>[5,2,1,7,3,8,4,6]=>0000000 [6,5,8,3,7,1,2,4]=>[4,2,1,7,3,8,5,6]=>0000000 [7,5,8,2,4,1,3,6]=>[6,3,1,4,2,8,5,7]=>0000000 [7,5,8,3,4,1,2,6]=>[6,2,1,4,3,8,5,7]=>0000000 [7,3,8,2,6,1,4,5]=>[5,4,1,6,2,8,3,7]=>0000000 [7,4,8,3,6,1,2,5]=>[5,2,1,6,3,8,4,7]=>0000000 [7,5,8,2,6,1,3,4]=>[4,3,1,6,2,8,5,7]=>0000000 [7,5,8,4,6,1,2,3]=>[3,2,1,6,4,8,5,7]=>0010000 [8,4,6,2,5,1,3,7]=>[7,3,1,5,2,6,4,8]=>0000001 [8,4,7,3,5,1,2,6]=>[6,2,1,5,3,7,4,8]=>0000001 [8,5,7,2,4,1,3,6]=>[6,3,1,4,2,7,5,8]=>0000001 [8,3,7,2,6,1,4,5]=>[5,4,1,6,2,7,3,8]=>0000001 [8,4,7,2,6,1,3,5]=>[5,3,1,6,2,7,4,8]=>0000001 [8,4,7,3,6,1,2,5]=>[5,2,1,6,3,7,4,8]=>0000001 [8,5,7,2,6,1,3,4]=>[4,3,1,6,2,7,5,8]=>0000001 [8,5,7,3,6,1,2,4]=>[4,2,1,6,3,7,5,8]=>0000001 [8,5,7,4,6,1,2,3]=>[3,2,1,6,4,7,5,8]=>0010001 [8,6,7,2,4,1,3,5]=>[5,3,1,4,2,7,6,8]=>0000101 [8,6,7,2,5,1,3,4]=>[4,3,1,5,2,7,6,8]=>0000101 [8,6,7,3,5,1,2,4]=>[4,2,1,5,3,7,6,8]=>0000101 [5,4,3,2,7,1,6,8]=>[8,6,1,7,2,3,4,5]=>0000000 [6,5,3,2,7,1,4,8]=>[8,4,1,7,2,3,5,6]=>0000000 [6,5,4,2,7,1,3,8]=>[8,3,1,7,2,4,5,6]=>0000000 [7,5,3,2,6,1,4,8]=>[8,4,1,6,2,3,5,7]=>0000000 [7,5,4,2,6,1,3,8]=>[8,3,1,6,2,4,5,7]=>0000000 [7,6,4,2,5,1,3,8]=>[8,3,1,5,2,4,6,7]=>0000000 [5,4,3,2,8,1,6,7]=>[7,6,1,8,2,3,4,5]=>0000000 [6,5,3,2,8,1,4,7]=>[7,4,1,8,2,3,5,6]=>0000000 [6,5,4,3,8,1,2,7]=>[7,2,1,8,3,4,5,6]=>0000000 [7,4,3,2,8,1,5,6]=>[6,5,1,8,2,3,4,7]=>0000000 [7,5,3,2,8,1,4,6]=>[6,4,1,8,2,3,5,7]=>0000000 [7,6,3,2,8,1,4,5]=>[5,4,1,8,2,3,6,7]=>0000000 [7,6,4,2,8,1,3,5]=>[5,3,1,8,2,4,6,7]=>0000000 [7,6,4,3,8,1,2,5]=>[5,2,1,8,3,4,6,7]=>0000000 [8,5,3,2,6,1,4,7]=>[7,4,1,6,2,3,5,8]=>0000001 [8,6,3,2,5,1,4,7]=>[7,4,1,5,2,3,6,8]=>0000001 [8,5,3,2,7,1,4,6]=>[6,4,1,7,2,3,5,8]=>0000001 [8,6,4,2,7,1,3,5]=>[5,3,1,7,2,4,6,8]=>0000001 [8,6,4,3,7,1,2,5]=>[5,2,1,7,3,4,6,8]=>0000001 [8,7,3,2,5,1,4,6]=>[6,4,1,5,2,3,7,8]=>0000011 [8,7,3,2,6,1,4,5]=>[5,4,1,6,2,3,7,8]=>0000011 [8,7,4,2,6,1,3,5]=>[5,3,1,6,2,4,7,8]=>0000011 [8,7,4,3,6,1,2,5]=>[5,2,1,6,3,4,7,8]=>0000011 [8,7,5,2,6,1,3,4]=>[4,3,1,6,2,5,7,8]=>0000011 [8,7,6,2,4,1,3,5]=>[5,3,1,4,2,6,7,8]=>0000111 [4,8,3,7,2,6,1,5]=>[5,1,6,2,7,3,8,4]=>0000000 [5,8,3,7,2,6,1,4]=>[4,1,6,2,7,3,8,5]=>0000000 [5,8,4,7,2,6,1,3]=>[3,1,6,2,7,4,8,5]=>0000000 [5,8,4,7,3,6,1,2]=>[2,1,6,3,7,4,8,5]=>0100000 [6,8,3,7,2,5,1,4]=>[4,1,5,2,7,3,8,6]=>0000000 [6,8,4,7,2,5,1,3]=>[3,1,5,2,7,4,8,6]=>0000000 [6,8,4,7,3,5,1,2]=>[2,1,5,3,7,4,8,6]=>0100000 [6,8,5,7,2,4,1,3]=>[3,1,4,2,7,5,8,6]=>0001000 [6,8,5,7,3,4,1,2]=>[2,1,4,3,7,5,8,6]=>0101000 [7,8,3,6,2,5,1,4]=>[4,1,5,2,6,3,8,7]=>0000010 [7,8,4,6,2,5,1,3]=>[3,1,5,2,6,4,8,7]=>0000010 [7,8,4,6,3,5,1,2]=>[2,1,5,3,6,4,8,7]=>0100010 [7,8,5,6,2,4,1,3]=>[3,1,4,2,6,5,8,7]=>0001010 [5,4,3,8,2,7,1,6]=>[6,1,7,2,8,3,4,5]=>0000000 [6,4,3,8,2,7,1,5]=>[5,1,7,2,8,3,4,6]=>0000000 [6,5,3,8,2,7,1,4]=>[4,1,7,2,8,3,5,6]=>0000000 [7,4,3,8,2,6,1,5]=>[5,1,6,2,8,3,4,7]=>0000000 [7,5,3,8,2,6,1,4]=>[4,1,6,2,8,3,5,7]=>0000000 [7,5,4,8,2,6,1,3]=>[3,1,6,2,8,4,5,7]=>0000000 [7,6,3,8,2,5,1,4]=>[4,1,5,2,8,3,6,7]=>0000000 [7,6,4,8,2,5,1,3]=>[3,1,5,2,8,4,6,7]=>0000000 [8,5,3,7,2,6,1,4]=>[4,1,6,2,7,3,5,8]=>0000001 [8,6,3,7,2,5,1,4]=>[4,1,5,2,7,3,6,8]=>0000001 [8,6,4,7,2,5,1,3]=>[3,1,5,2,7,4,6,8]=>0000001 [8,6,5,7,2,4,1,3]=>[3,1,4,2,7,5,6,8]=>0001001 [8,7,5,6,2,4,1,3]=>[3,1,4,2,6,5,7,8]=>0001011 [8,5,4,3,2,7,1,6]=>[6,1,7,2,3,4,5,8]=>0000001 [8,7,5,4,2,6,1,3]=>[3,1,6,2,4,5,7,8]=>0000011 [8,7,6,5,2,4,1,3]=>[3,1,4,2,5,6,7,8]=>0001111 [8,1,2,3,4,7,5,6]=>[6,5,7,4,3,2,1,8]=>0000001 [8,1,2,3,7,4,5,6]=>[6,5,4,7,3,2,1,8]=>0000001 [8,1,2,5,3,7,4,6]=>[6,4,7,3,5,2,1,8]=>0000001 [8,1,2,6,3,7,4,5]=>[5,4,7,3,6,2,1,8]=>0000001 [4,1,2,8,7,3,5,6]=>[6,5,3,7,8,2,1,4]=>0000000 [4,1,2,7,6,3,8,5]=>[5,8,3,6,7,2,1,4]=>0000000 [8,1,2,5,6,3,4,7]=>[7,4,3,6,5,2,1,8]=>0000001 [8,1,2,5,7,3,4,6]=>[6,4,3,7,5,2,1,8]=>0000001 [8,1,2,7,6,3,4,5]=>[5,4,3,6,7,2,1,8]=>0000001 [7,1,2,5,6,3,8,4]=>[4,8,3,6,5,2,1,7]=>0000000 [4,1,2,5,8,7,3,6]=>[6,3,7,8,5,2,1,4]=>0000000 [3,1,8,2,6,4,5,7]=>[7,5,4,6,2,8,1,3]=>0000000 [3,1,7,2,6,4,8,5]=>[5,8,4,6,2,7,1,3]=>0000000 [3,1,8,2,6,7,4,5]=>[5,4,7,6,2,8,1,3]=>0000000 [6,1,4,2,3,8,5,7]=>[7,5,8,3,2,4,1,6]=>0000000 [6,1,5,2,3,8,4,7]=>[7,4,8,3,2,5,1,6]=>0000000 [8,1,5,2,3,7,4,6]=>[6,4,7,3,2,5,1,8]=>0000001 [5,1,4,2,8,3,6,7]=>[7,6,3,8,2,4,1,5]=>0000000 [5,1,4,2,7,3,8,6]=>[6,8,3,7,2,4,1,5]=>0000000 [7,1,4,2,6,3,8,5]=>[5,8,3,6,2,4,1,7]=>0000000 [8,1,5,2,7,3,4,6]=>[6,4,3,7,2,5,1,8]=>0000001 [7,1,5,2,6,3,8,4]=>[4,8,3,6,2,5,1,7]=>0000000 [5,1,4,2,8,7,3,6]=>[6,3,7,8,2,4,1,5]=>0000000 [8,1,4,2,6,7,3,5]=>[5,3,7,6,2,4,1,8]=>0000001 [5,1,4,2,6,7,8,3]=>[3,8,7,6,2,4,1,5]=>0000000 [3,1,8,6,2,4,5,7]=>[7,5,4,2,6,8,1,3]=>0000000 [3,1,8,6,2,7,4,5]=>[5,4,7,2,6,8,1,3]=>0000000 [7,1,4,6,2,3,8,5]=>[5,8,3,2,6,4,1,7]=>0000000 [7,1,8,6,2,3,4,5]=>[5,4,3,2,6,8,1,7]=>0000000 [7,1,6,5,2,3,8,4]=>[4,8,3,2,5,6,1,7]=>0000000 [6,1,4,5,2,8,3,7]=>[7,3,8,2,5,4,1,6]=>0000000 [8,1,4,5,2,7,3,6]=>[6,3,7,2,5,4,1,8]=>0000001 [8,1,4,6,2,7,3,5]=>[5,3,7,2,6,4,1,8]=>0000001 [3,1,8,5,7,2,4,6]=>[6,4,2,7,5,8,1,3]=>0000000 [8,1,4,5,7,2,3,6]=>[6,3,2,7,5,4,1,8]=>0000001 [3,1,4,5,8,7,2,6]=>[6,2,7,8,5,4,1,3]=>0000000 [8,1,4,5,6,7,2,3]=>[3,2,7,6,5,4,1,8]=>0000001 [2,5,1,3,8,7,4,6]=>[6,4,7,8,3,1,5,2]=>0000000 [2,4,1,8,3,7,5,6]=>[6,5,7,3,8,1,4,2]=>0000000 [2,7,1,6,3,4,8,5]=>[5,8,4,3,6,1,7,2]=>0000000 [2,8,1,6,3,7,4,5]=>[5,4,7,3,6,1,8,2]=>0000000 [2,8,1,5,7,3,4,6]=>[6,4,3,7,5,1,8,2]=>0000000 [2,8,1,7,6,3,4,5]=>[5,4,3,6,7,1,8,2]=>0000000 [2,7,1,5,6,3,8,4]=>[4,8,3,6,5,1,7,2]=>0000000 [6,3,1,2,4,7,8,5]=>[5,8,7,4,2,1,3,6]=>0000000 [5,3,1,2,8,4,6,7]=>[7,6,4,8,2,1,3,5]=>0000000 [5,3,1,2,7,4,8,6]=>[6,8,4,7,2,1,3,5]=>0000000 [5,3,1,2,6,7,8,4]=>[4,8,7,6,2,1,3,5]=>0000000 [5,8,1,2,3,7,4,6]=>[6,4,7,3,2,1,8,5]=>0000000 [5,4,1,2,8,3,6,7]=>[7,6,3,8,2,1,4,5]=>0000000 [5,4,1,2,7,3,8,6]=>[6,8,3,7,2,1,4,5]=>0000000 [5,8,1,2,7,3,4,6]=>[6,4,3,7,2,1,8,5]=>0000000 [8,7,1,2,6,3,4,5]=>[5,4,3,6,2,1,7,8]=>0000011 [5,4,1,2,6,8,3,7]=>[7,3,8,6,2,1,4,5]=>0000000 [8,4,1,2,6,7,3,5]=>[5,3,7,6,2,1,4,8]=>0000001 [5,4,1,2,6,7,8,3]=>[3,8,7,6,2,1,4,5]=>0000000 [4,3,1,6,2,8,5,7]=>[7,5,8,2,6,1,3,4]=>0000000 [4,3,1,6,2,7,8,5]=>[5,8,7,2,6,1,3,4]=>0000000 [7,3,1,6,2,4,8,5]=>[5,8,4,2,6,1,3,7]=>0000000 [8,3,1,5,2,7,4,6]=>[6,4,7,2,5,1,3,8]=>0000001 [8,3,1,6,2,7,4,5]=>[5,4,7,2,6,1,3,8]=>0000001 [6,3,1,5,2,7,8,4]=>[4,8,7,2,5,1,3,6]=>0000000 [7,4,1,5,2,3,8,6]=>[6,8,3,2,5,1,4,7]=>0000000 [8,4,1,6,2,3,5,7]=>[7,5,3,2,6,1,4,8]=>0000001 [7,4,1,8,2,3,5,6]=>[6,5,3,2,8,1,4,7]=>0000000 [8,7,1,5,2,3,4,6]=>[6,4,3,2,5,1,7,8]=>0000011 [8,7,1,6,2,3,4,5]=>[5,4,3,2,6,1,7,8]=>0000011 [6,4,1,5,2,8,3,7]=>[7,3,8,2,5,1,4,6]=>0000000 [8,4,1,5,2,7,3,6]=>[6,3,7,2,5,1,4,8]=>0000001 [8,4,1,6,2,7,3,5]=>[5,3,7,2,6,1,4,8]=>0000001 [6,8,1,5,2,7,3,4]=>[4,3,7,2,5,1,8,6]=>0000000 [4,3,1,8,7,2,5,6]=>[6,5,2,7,8,1,3,4]=>0000000 [8,3,1,5,6,2,4,7]=>[7,4,2,6,5,1,3,8]=>0000001 [8,3,1,7,6,2,4,5]=>[5,4,2,6,7,1,3,8]=>0000001 [4,3,1,5,6,7,8,2]=>[2,8,7,6,5,1,3,4]=>0000000 [2,3,7,1,6,4,8,5]=>[5,8,4,6,1,7,3,2]=>0000000 [2,3,5,1,8,7,4,6]=>[6,4,7,8,1,5,3,2]=>0000000 [2,3,8,1,6,7,4,5]=>[5,4,7,6,1,8,3,2]=>0000000 [2,6,4,1,3,8,5,7]=>[7,5,8,3,1,4,6,2]=>0000000 [2,6,4,1,3,7,8,5]=>[5,8,7,3,1,4,6,2]=>0000000 [2,7,5,1,3,4,8,6]=>[6,8,4,3,1,5,7,2]=>0000000 [2,8,5,1,3,7,4,6]=>[6,4,7,3,1,5,8,2]=>0000000 [2,6,5,1,3,7,8,4]=>[4,8,7,3,1,5,6,2]=>0000000 [2,8,4,1,7,3,5,6]=>[6,5,3,7,1,4,8,2]=>0000000 [2,8,5,1,7,3,4,6]=>[6,4,3,7,1,5,8,2]=>0000000 [2,8,4,1,6,7,3,5]=>[5,3,7,6,1,4,8,2]=>0000000 [2,5,4,1,6,7,8,3]=>[3,8,7,6,1,4,5,2]=>0000000 [6,3,4,1,2,8,5,7]=>[7,5,8,2,1,4,3,6]=>0000000 [6,3,4,1,2,7,8,5]=>[5,8,7,2,1,4,3,6]=>0000000 [6,3,7,1,2,4,8,5]=>[5,8,4,2,1,7,3,6]=>0000000 [8,3,5,1,2,7,4,6]=>[6,4,7,2,1,5,3,8]=>0000001 [6,3,8,1,2,7,4,5]=>[5,4,7,2,1,8,3,6]=>0000000 [6,7,4,1,2,3,8,5]=>[5,8,3,2,1,4,7,6]=>0000000 [6,8,5,1,2,3,4,7]=>[7,4,3,2,1,5,8,6]=>0000000 [8,5,4,1,2,7,3,6]=>[6,3,7,2,1,4,5,8]=>0000001 [8,3,4,1,7,2,5,6]=>[6,5,2,7,1,4,3,8]=>0000001 [7,3,4,1,6,2,8,5]=>[5,8,2,6,1,4,3,7]=>0000000 [8,3,5,1,6,2,4,7]=>[7,4,2,6,1,5,3,8]=>0000001 [7,3,5,1,6,2,8,4]=>[4,8,2,6,1,5,3,7]=>0000000 [8,5,4,1,7,2,3,6]=>[6,3,2,7,1,4,5,8]=>0000001 [7,8,4,1,6,2,3,5]=>[5,3,2,6,1,4,8,7]=>0000010 [5,3,4,1,6,7,8,2]=>[2,8,7,6,1,4,3,5]=>0000000 [2,3,4,8,1,7,5,6]=>[6,5,7,1,8,4,3,2]=>0000000 [2,3,7,5,1,4,8,6]=>[6,8,4,1,5,7,3,2]=>0000000 [2,3,7,6,1,4,8,5]=>[5,8,4,1,6,7,3,2]=>0000000 [2,8,4,6,1,3,5,7]=>[7,5,3,1,6,4,8,2]=>0000000 [2,7,4,8,1,3,5,6]=>[6,5,3,1,8,4,7,2]=>0000000 [2,8,6,5,1,3,4,7]=>[7,4,3,1,5,6,8,2]=>0000000 [2,7,8,5,1,3,4,6]=>[6,4,3,1,5,8,7,2]=>0000000 [2,8,4,6,1,7,3,5]=>[5,3,7,1,6,4,8,2]=>0000000 [7,3,4,6,1,2,8,5]=>[5,8,2,1,6,4,3,7]=>0000000 [7,3,8,5,1,2,4,6]=>[6,4,2,1,5,8,3,7]=>0000000 [8,3,6,5,1,7,2,4]=>[4,2,7,1,5,6,3,8]=>0000001 [2,3,4,8,6,1,5,7]=>[7,5,1,6,8,4,3,2]=>0000000 [2,3,4,8,7,1,5,6]=>[6,5,1,7,8,4,3,2]=>0000000 [2,3,8,7,6,1,4,5]=>[5,4,1,6,7,8,3,2]=>0000000 [2,8,7,5,6,1,3,4]=>[4,3,1,6,5,7,8,2]=>0000000 [8,3,4,7,6,1,2,5]=>[5,2,1,6,7,4,3,8]=>0000001 [8,3,7,5,6,1,2,4]=>[4,2,1,6,5,7,3,8]=>0000001 [2,3,4,5,8,7,1,6]=>[6,1,7,8,5,4,3,2]=>0000000 [2,3,4,8,6,7,1,5]=>[5,1,7,6,8,4,3,2]=>0000000 [6,5,8,7,3,4,1,2]=>[2,1,4,3,7,8,5,6]=>0101000 [4,6,7,3,8,5,1,2]=>[2,1,5,8,3,7,6,4]=>0100000 [3,6,7,4,5,8,1,2]=>[2,1,8,5,4,7,6,3]=>0100000 [2,6,7,4,5,1,8,3]=>[3,8,1,5,4,7,6,2]=>0000000 [1,6,7,4,5,2,3,8]=>[8,3,2,5,4,7,6,1]=>0000000 [1,5,4,7,6,2,3,8]=>[8,3,2,6,7,4,5,1]=>0000000 [2,5,4,7,6,1,8,3]=>[3,8,1,6,7,4,5,2]=>0000000 [3,5,4,7,6,8,1,2]=>[2,1,8,6,7,4,5,3]=>0100000 [4,5,3,7,8,6,1,2]=>[2,1,6,8,7,3,5,4]=>0100000 [5,4,3,8,7,6,1,2]=>[2,1,6,7,8,3,4,5]=>0100000 [6,4,8,3,7,5,1,2]=>[2,1,5,7,3,8,4,6]=>0100000 [6,3,8,4,5,7,1,2]=>[2,1,7,5,4,8,3,6]=>0100000 [5,3,4,8,6,7,1,2]=>[2,1,7,6,8,4,3,5]=>0100000 [4,3,5,6,8,7,1,2]=>[2,1,7,8,6,5,3,4]=>0100000 [3,2,5,6,1,8,7,4]=>[4,7,8,1,6,5,2,3]=>0000000 [4,2,5,6,8,1,7,3]=>[3,7,1,8,6,5,2,4]=>0000000 [5,2,4,8,6,1,7,3]=>[3,7,1,6,8,4,2,5]=>0000000 [6,2,8,4,5,1,7,3]=>[3,7,1,5,4,8,2,6]=>0000000 [7,8,2,4,5,1,6,3]=>[3,6,1,5,4,2,8,7]=>0000010 [7,8,1,4,5,2,3,6]=>[6,3,2,5,4,1,8,7]=>0000010 [6,1,8,4,5,2,3,7]=>[7,3,2,5,4,8,1,6]=>0000000 [5,1,4,8,6,2,3,7]=>[7,3,2,6,8,4,1,5]=>0000000 [4,1,3,2,8,6,5,7]=>[7,5,6,8,2,3,1,4]=>0000000 [5,1,3,8,2,6,4,7]=>[7,4,6,2,8,3,1,5]=>0000000 [6,1,8,3,2,5,4,7]=>[7,4,5,2,3,8,1,6]=>0000000 [7,8,1,3,2,5,4,6]=>[6,4,5,2,3,1,8,7]=>0000010 [6,2,8,3,1,5,7,4]=>[4,7,5,1,3,8,2,6]=>0000000 [5,2,3,8,1,6,7,4]=>[4,7,6,1,8,3,2,5]=>0000000 [6,3,8,2,1,7,5,4]=>[4,5,7,1,2,8,3,6]=>0000000 [7,8,3,2,1,6,5,4]=>[4,5,6,1,2,3,8,7]=>0000010 [7,8,4,2,6,1,5,3]=>[3,5,1,6,2,4,8,7]=>0000010 [5,4,2,8,7,1,6,3]=>[3,6,1,7,8,2,4,5]=>0000000 [4,5,2,7,8,1,6,3]=>[3,6,1,8,7,2,5,4]=>0000000 [3,5,2,7,1,8,6,4]=>[4,6,8,1,7,2,5,3]=>0000000 [2,5,3,7,1,6,8,4]=>[4,8,6,1,7,3,5,2]=>0000000 [1,5,3,7,2,6,4,8]=>[8,4,6,2,7,3,5,1]=>0000000 [1,6,7,3,2,5,4,8]=>[8,4,5,2,3,7,6,1]=>0000000 [2,6,7,3,1,5,8,4]=>[4,8,5,1,3,7,6,2]=>0000000 [3,6,7,2,1,8,5,4]=>[4,5,8,1,2,7,6,3]=>0000000 [4,6,7,2,8,1,5,3]=>[3,5,1,8,2,7,6,4]=>0000000 [5,6,7,8,2,1,4,3]=>[3,4,1,2,8,7,6,5]=>0001000 [7,8,5,6,2,1,4,3]=>[3,4,1,2,6,5,8,7]=>0001010 [6,5,8,7,1,2,3,4]=>[4,3,2,1,7,8,5,6]=>0001000 [5,4,1,8,7,2,3,6]=>[6,3,2,7,8,1,4,5]=>0000000 [6,4,8,1,7,2,3,5]=>[5,3,2,7,1,8,4,6]=>0000000 [7,8,3,1,2,6,4,5]=>[5,4,6,2,1,3,8,7]=>0000010 [5,3,1,8,2,7,4,6]=>[6,4,7,2,8,1,3,5]=>0000000 [4,3,1,2,8,7,5,6]=>[6,5,7,8,2,1,3,4]=>0000000 [4,2,1,3,8,5,7,6]=>[6,7,5,8,3,1,2,4]=>0000000 [6,2,8,1,3,4,7,5]=>[5,7,4,3,1,8,2,6]=>0000000 [7,8,2,1,3,4,6,5]=>[5,6,4,3,1,2,8,7]=>0000010 [4,5,2,3,7,6,1,8]=>[8,1,6,7,3,2,5,4]=>0000000 [6,4,3,7,2,5,1,8]=>[8,1,5,2,7,3,4,6]=>0000000 [1,5,6,3,4,8,7,2]=>[2,7,8,4,3,6,5,1]=>0000000 [4,6,2,7,3,5,1,8]=>[8,1,5,3,7,2,6,4]=>0000000 [3,2,6,7,4,5,1,8]=>[8,1,5,4,7,6,2,3]=>0000000 [4,7,2,6,5,3,1,8]=>[8,1,3,5,6,2,7,4]=>0000000 [4,8,2,6,5,1,3,7]=>[7,3,1,5,6,2,8,4]=>0000000 [4,1,2,6,5,8,7,3]=>[3,7,8,5,6,2,1,4]=>0000000 [5,1,6,2,4,8,7,3]=>[3,7,8,4,2,6,1,5]=>0000000 [6,1,5,4,2,8,7,3]=>[3,7,8,2,4,5,1,6]=>0000000 [7,1,5,4,8,2,6,3]=>[3,6,2,8,4,5,1,7]=>0000000 [8,1,5,4,7,6,2,3]=>[3,2,6,7,4,5,1,8]=>0000001 [8,1,6,7,4,5,2,3]=>[3,2,5,4,7,6,1,8]=>0000001 [7,1,6,8,4,2,5,3]=>[3,5,2,4,8,6,1,7]=>0000000 [6,1,7,8,2,4,5,3]=>[3,5,4,2,8,7,1,6]=>0000000 [5,1,7,2,8,4,6,3]=>[3,6,4,8,2,7,1,5]=>0000000 [4,1,2,7,8,5,6,3]=>[3,6,5,8,7,2,1,4]=>0000000 [3,2,8,7,1,5,4,6]=>[6,4,5,1,7,8,2,3]=>0000000 [5,8,7,2,1,4,3,6]=>[6,3,4,1,2,7,8,5]=>0000000 [6,8,7,1,2,4,3,5]=>[5,3,4,2,1,7,8,6]=>0000100 [7,8,6,1,4,2,3,5]=>[5,3,2,4,1,6,8,7]=>0000110 [8,7,6,1,4,3,2,5]=>[5,2,3,4,1,6,7,8]=>0000111 [1,6,7,8,3,4,5,2]=>[2,5,4,3,8,7,6,1]=>0000000 [8,6,7,1,3,4,2,5]=>[5,2,4,3,1,7,6,8]=>0000101 [7,6,8,1,3,2,4,5]=>[5,4,2,3,1,8,6,7]=>0000100 [5,7,8,2,1,3,4,6]=>[6,4,3,1,2,8,7,5]=>0000000 [4,7,2,8,1,3,5,6]=>[6,5,3,1,8,2,7,4]=>0000000 [3,2,6,8,4,1,5,7]=>[7,5,1,4,8,6,2,3]=>0000000 [4,6,2,8,3,1,5,7]=>[7,5,1,3,8,2,6,4]=>0000000 [5,6,8,2,3,1,4,7]=>[7,4,1,3,2,8,6,5]=>0000000 [6,5,8,3,2,1,4,7]=>[7,4,1,2,3,8,5,6]=>0000000 [7,5,8,3,1,2,4,6]=>[6,4,2,1,3,8,5,7]=>0000000 [1,5,7,3,8,4,6,2]=>[2,6,4,8,3,7,5,1]=>0000000 [1,4,3,7,8,5,6,2]=>[2,6,5,8,7,3,4,1]=>0000000 [6,4,3,8,2,1,5,7]=>[7,5,1,2,8,3,4,6]=>0000000 [4,5,2,3,8,1,6,7]=>[7,6,1,8,3,2,5,4]=>0000000 [3,2,5,4,8,1,6,7]=>[7,6,1,8,4,5,2,3]=>0000000 [4,5,2,3,1,8,7,6]=>[6,7,8,1,3,2,5,4]=>0000000 [6,4,3,1,2,8,7,5]=>[5,7,8,2,1,3,4,6]=>0000000 [7,4,3,1,8,2,6,5]=>[5,6,2,8,1,3,4,7]=>0000000 [8,4,3,1,7,6,2,5]=>[5,2,6,7,1,3,4,8]=>0000001 [8,5,1,3,7,6,2,4]=>[4,2,6,7,3,1,5,8]=>0000001 [7,5,1,3,8,2,6,4]=>[4,6,2,8,3,1,5,7]=>0000000 [6,5,1,3,2,8,7,4]=>[4,7,8,2,3,1,5,6]=>0000000 [5,6,1,2,3,8,7,4]=>[4,7,8,3,2,1,6,5]=>0000000 [4,6,2,1,3,8,7,5]=>[5,7,8,3,1,2,6,4]=>0000000 [3,2,6,1,4,8,7,5]=>[5,7,8,4,1,6,2,3]=>0000000 [5,7,1,2,8,3,6,4]=>[4,6,3,8,2,1,7,5]=>0000000 [6,7,1,8,2,3,5,4]=>[4,5,3,2,8,1,7,6]=>0000000 [7,6,1,8,3,2,5,4]=>[4,5,2,3,8,1,6,7]=>0000000 [8,6,1,7,3,5,2,4]=>[4,2,5,3,7,1,6,8]=>0000001 [1,7,8,6,5,3,4,2]=>[2,4,3,5,6,8,7,1]=>0000000 [6,8,1,7,2,5,3,4]=>[4,3,5,2,7,1,8,6]=>0000000 [4,1,2,8,7,6,5,3]=>[3,5,6,7,8,2,1,4]=>0000000 [3,2,5,1,6,4,8,7]=>[7,8,4,6,1,5,2,3]=>0000000 [3,2,5,4,7,1,8,6]=>[6,8,1,7,4,5,2,3]=>0000000 [4,2,5,3,7,6,8,1]=>[1,8,6,7,3,5,2,4]=>1000000 [4,2,5,3,7,1,8,6]=>[6,8,1,7,3,5,2,4]=>0000000 [4,2,5,3,6,1,8,7]=>[7,8,1,6,3,5,2,4]=>0000000 [4,2,5,1,6,3,8,7]=>[7,8,3,6,1,5,2,4]=>0000000 [3,1,5,4,6,2,8,7]=>[7,8,2,6,4,5,1,3]=>0000000 [4,1,5,3,6,2,8,7]=>[7,8,2,6,3,5,1,4]=>0000000 [4,3,5,1,6,2,8,7]=>[7,8,2,6,1,5,3,4]=>0000000 [4,3,5,2,7,1,8,6]=>[6,8,1,7,2,5,3,4]=>0000000 [4,3,6,2,7,5,8,1]=>[1,8,5,7,2,6,3,4]=>1000000 [4,3,6,2,7,1,8,5]=>[5,8,1,7,2,6,3,4]=>0000000 [4,3,6,1,7,2,8,5]=>[5,8,2,7,1,6,3,4]=>0000000 [4,3,5,1,7,2,8,6]=>[6,8,2,7,1,5,3,4]=>0000000 [4,1,5,3,7,2,8,6]=>[6,8,2,7,3,5,1,4]=>0000000 [3,1,5,4,7,2,8,6]=>[6,8,2,7,4,5,1,3]=>0000000 [2,1,5,4,7,3,8,6]=>[6,8,3,7,4,5,1,2]=>0000000 [3,1,5,4,7,6,8,2]=>[2,8,6,7,4,5,1,3]=>0000000 [4,1,5,3,7,6,8,2]=>[2,8,6,7,3,5,1,4]=>0000000 [4,3,5,1,7,6,8,2]=>[2,8,6,7,1,5,3,4]=>0000000 [4,3,6,1,7,5,8,2]=>[2,8,5,7,1,6,3,4]=>0000000 [4,3,6,5,7,1,8,2]=>[2,8,1,7,5,6,3,4]=>0000000 [5,3,6,4,7,2,8,1]=>[1,8,2,7,4,6,3,5]=>1000000 [5,3,6,4,7,1,8,2]=>[2,8,1,7,4,6,3,5]=>0000000 [5,3,6,1,7,4,8,2]=>[2,8,4,7,1,6,3,5]=>0000000 [5,1,6,3,7,4,8,2]=>[2,8,4,7,3,6,1,5]=>0000000 [4,1,6,3,7,5,8,2]=>[2,8,5,7,3,6,1,4]=>0000000 [3,1,6,4,7,5,8,2]=>[2,8,5,7,4,6,1,3]=>0000000 [2,1,6,4,7,5,8,3]=>[3,8,5,7,4,6,1,2]=>0000000 [2,1,6,4,7,3,8,5]=>[5,8,3,7,4,6,1,2]=>0000000 [3,1,6,4,7,2,8,5]=>[5,8,2,7,4,6,1,3]=>0000000 [4,1,6,3,7,2,8,5]=>[5,8,2,7,3,6,1,4]=>0000000 [5,1,6,3,7,2,8,4]=>[4,8,2,7,3,6,1,5]=>0000000 [5,3,6,1,7,2,8,4]=>[4,8,2,7,1,6,3,5]=>0000000 [5,3,6,2,7,1,8,4]=>[4,8,1,7,2,6,3,5]=>0000000 [5,3,6,2,7,4,8,1]=>[1,8,4,7,2,6,3,5]=>1000000 [5,2,6,3,7,4,8,1]=>[1,8,4,7,3,6,2,5]=>1000000 [5,2,6,3,7,1,8,4]=>[4,8,1,7,3,6,2,5]=>0000000 [5,2,6,1,7,3,8,4]=>[4,8,3,7,1,6,2,5]=>0000000 [4,2,5,1,7,3,8,6]=>[6,8,3,7,1,5,2,4]=>0000000 [4,2,6,1,7,3,8,5]=>[5,8,3,7,1,6,2,4]=>0000000 [4,2,6,3,7,1,8,5]=>[5,8,1,7,3,6,2,4]=>0000000 [4,2,6,3,7,5,8,1]=>[1,8,5,7,3,6,2,4]=>1000000 [3,2,6,4,7,5,8,1]=>[1,8,5,7,4,6,2,3]=>1000000 [3,2,6,4,7,1,8,5]=>[5,8,1,7,4,6,2,3]=>0000000 [3,2,6,1,7,4,8,5]=>[5,8,4,7,1,6,2,3]=>0000000 [3,2,5,1,7,4,8,6]=>[6,8,4,7,1,5,2,3]=>0000000 [3,2,4,1,7,5,8,6]=>[6,8,5,7,1,4,2,3]=>0000000 [3,1,4,2,7,6,8,5]=>[5,8,6,7,2,4,1,3]=>0000000 [3,2,5,1,7,6,8,4]=>[4,8,6,7,1,5,2,3]=>0000000 [3,2,6,1,7,5,8,4]=>[4,8,5,7,1,6,2,3]=>0000000 [3,2,6,5,7,1,8,4]=>[4,8,1,7,5,6,2,3]=>0000000 [4,2,6,5,7,3,8,1]=>[1,8,3,7,5,6,2,4]=>1000000 [4,2,6,5,7,1,8,3]=>[3,8,1,7,5,6,2,4]=>0000000 [4,2,6,1,7,5,8,3]=>[3,8,5,7,1,6,2,4]=>0000000 [4,2,5,1,7,6,8,3]=>[3,8,6,7,1,5,2,4]=>0000000 [4,1,5,2,7,6,8,3]=>[3,8,6,7,2,5,1,4]=>0000000 [3,1,5,2,7,6,8,4]=>[4,8,6,7,2,5,1,3]=>0000000 [2,1,5,3,7,6,8,4]=>[4,8,6,7,3,5,1,2]=>0000000 [2,1,6,3,7,5,8,4]=>[4,8,5,7,3,6,1,2]=>0000000 [3,1,6,2,7,5,8,4]=>[4,8,5,7,2,6,1,3]=>0000000 [4,1,6,2,7,5,8,3]=>[3,8,5,7,2,6,1,4]=>0000000 [5,1,6,2,7,4,8,3]=>[3,8,4,7,2,6,1,5]=>0000000 [5,2,6,1,7,4,8,3]=>[3,8,4,7,1,6,2,5]=>0000000 [5,2,6,4,7,1,8,3]=>[3,8,1,7,4,6,2,5]=>0000000 [5,2,6,4,7,3,8,1]=>[1,8,3,7,4,6,2,5]=>1000000 [5,4,6,2,7,3,8,1]=>[1,8,3,7,2,6,4,5]=>1000000 [5,4,6,2,7,1,8,3]=>[3,8,1,7,2,6,4,5]=>0000000 [5,4,6,1,7,2,8,3]=>[3,8,2,7,1,6,4,5]=>0000000 [5,1,6,4,7,2,8,3]=>[3,8,2,7,4,6,1,5]=>0000000 [4,1,6,5,7,2,8,3]=>[3,8,2,7,5,6,1,4]=>0000000 [3,1,6,5,7,2,8,4]=>[4,8,2,7,5,6,1,3]=>0000000 [2,1,6,5,7,3,8,4]=>[4,8,3,7,5,6,1,2]=>0000000 [3,1,6,5,7,4,8,2]=>[2,8,4,7,5,6,1,3]=>0000000 [4,1,6,5,7,3,8,2]=>[2,8,3,7,5,6,1,4]=>0000000 [5,1,6,4,7,3,8,2]=>[2,8,3,7,4,6,1,5]=>0000000 [5,4,6,1,7,3,8,2]=>[2,8,3,7,1,6,4,5]=>0000000 [5,4,6,3,7,1,8,2]=>[2,8,1,7,3,6,4,5]=>0000000 [8,6,1,3,4,2,5,7]=>[7,5,2,4,3,1,6,8]=>0000001 [2,4,5,7,3,1,8,6]=>[6,8,1,3,7,5,4,2]=>0000000 [8,1,2,4,5,6,3,7]=>[7,3,6,5,4,2,1,8]=>0000001 [8,2,5,1,3,6,4,7]=>[7,4,6,3,1,5,2,8]=>0000001 [8,6,1,4,5,3,2,7]=>[7,2,3,5,4,1,6,8]=>0000001 [8,5,7,4,3,2,6,1]=>[1,6,2,3,4,7,5,8]=>1000001 [4,6,3,8,7,1,5,2]=>[2,5,1,7,8,3,6,4]=>0000000 [1,7,4,8,6,3,5,2]=>[2,5,3,6,8,4,7,1]=>0000000 [8,2,6,1,4,7,5,3]=>[3,5,7,4,1,6,2,8]=>0000001 [3,7,1,6,4,8,2,5]=>[5,2,8,4,6,1,7,3]=>0000000 [3,6,8,5,7,2,4,1]=>[1,4,2,7,5,8,6,3]=>1000000 [5,2,7,1,3,8,4,6]=>[6,4,8,3,1,7,2,5]=>0000000 [5,3,1,7,8,2,4,6]=>[6,4,2,8,7,1,3,5]=>0000000 [1,7,3,4,2,5,8,6]=>[6,8,5,2,4,3,7,1]=>0000000 [4,7,2,1,3,5,8,6]=>[6,8,5,3,1,2,7,4]=>0000000 [8,7,6,1,3,4,2,5]=>[5,2,4,3,1,6,7,8]=>0000111 [8,5,7,3,2,1,6,4]=>[4,6,1,2,3,7,5,8]=>0000001 [8,3,6,7,2,1,5,4]=>[4,5,1,2,7,6,3,8]=>0000001 [3,7,8,6,2,1,5,4]=>[4,5,1,2,6,8,7,3]=>0000000 [8,7,6,3,5,2,4,1]=>[1,4,2,5,3,6,7,8]=>1000111 [2,7,4,8,1,6,5,3]=>[3,5,6,1,8,4,7,2]=>0000000 [4,6,8,2,1,7,5,3]=>[3,5,7,1,2,8,6,4]=>0000000 [8,5,3,7,1,6,2,4]=>[4,2,6,1,7,3,5,8]=>0000001 [8,5,7,2,1,3,6,4]=>[4,6,3,1,2,7,5,8]=>0000001 [4,6,1,8,7,2,5,3]=>[3,5,2,7,8,1,6,4]=>0000000 [8,1,2,5,6,7,4,3]=>[3,4,7,6,5,2,1,8]=>0000001 [8,2,6,5,7,4,1,3]=>[3,1,4,7,5,6,2,8]=>0000001 [2,7,6,8,5,4,1,3]=>[3,1,4,5,8,6,7,2]=>0000000 [1,7,2,5,8,6,4,3]=>[3,4,6,8,5,2,7,1]=>0000000 [3,2,5,1,6,8,4,7]=>[7,4,8,6,1,5,2,3]=>0000000 [3,6,2,5,4,8,1,7]=>[7,1,8,4,5,2,6,3]=>0000000 [3,5,8,2,4,7,6,1]=>[1,6,7,4,2,8,5,3]=>1000000 [4,2,5,8,3,7,6,1]=>[1,6,7,3,8,5,2,4]=>1000000 [4,2,6,5,3,8,1,7]=>[7,1,8,3,5,6,2,4]=>0000000 [5,3,1,6,8,2,4,7]=>[7,4,2,8,6,1,3,5]=>0000000 [5,6,2,8,1,3,4,7]=>[7,4,3,1,8,2,6,5]=>0000000 [5,4,3,2,7,1,8,6]=>[6,8,1,7,2,3,4,5]=>0000000 [5,4,3,8,2,7,6,1]=>[1,6,7,2,8,3,4,5]=>1000000 [4,3,6,2,8,7,5,1]=>[1,5,7,8,2,6,3,4]=>1000000 [4,3,7,6,2,1,8,5]=>[5,8,1,2,6,7,3,4]=>0000000 [6,4,3,1,7,2,8,5]=>[5,8,2,7,1,3,4,6]=>0000000 [4,3,7,1,8,6,5,2]=>[2,5,6,8,1,7,3,4]=>0000000 [7,5,3,1,8,6,4,2]=>[2,4,6,8,1,3,5,7]=>0000000 [4,6,1,8,7,3,5,2]=>[2,5,3,7,8,1,6,4]=>0000000 [6,8,7,3,1,4,5,2]=>[2,5,4,1,3,7,8,6]=>0000100 [6,2,8,7,4,5,1,3]=>[3,1,5,4,7,8,2,6]=>0000000 [7,6,2,8,4,1,3,5]=>[5,3,1,4,8,2,6,7]=>0000000 [7,3,1,6,8,4,2,5]=>[5,2,4,8,6,1,3,7]=>0000000 [7,6,5,3,2,1,8,4]=>[4,8,1,2,3,5,6,7]=>0000000 [5,2,7,6,3,1,8,4]=>[4,8,1,3,6,7,2,5]=>0000000 [6,5,2,1,7,3,8,4]=>[4,8,3,7,1,2,5,6]=>0000000 [6,1,7,4,2,8,3,5]=>[5,3,8,2,4,7,1,6]=>0000000 [6,7,2,1,8,3,4,5]=>[5,4,3,8,1,2,7,6]=>0000000 [7,5,8,2,1,3,4,6]=>[6,4,3,1,2,8,5,7]=>0000000 [5,7,3,1,8,2,4,6]=>[6,4,2,8,1,3,7,5]=>0000000 [4,7,1,5,2,8,3,6]=>[6,3,8,2,5,1,7,4]=>0000000 [5,2,7,4,1,8,3,6]=>[6,3,8,1,4,7,2,5]=>0000000 [2,4,8,6,3,7,5,1]=>[1,5,7,3,6,8,4,2]=>1000000 [3,8,6,2,4,7,5,1]=>[1,5,7,4,2,6,8,3]=>1000000 [7,3,6,2,4,1,8,5]=>[5,8,1,4,2,6,3,7]=>0000000 [3,5,2,7,1,8,4,6]=>[6,4,8,1,7,2,5,3]=>0000000 [8,3,7,1,4,6,2,5]=>[5,2,6,4,1,7,3,8]=>0000001 [3,8,2,5,7,1,6,4]=>[4,6,1,7,5,2,8,3]=>0000000 [7,8,3,6,2,1,5,4]=>[4,5,1,2,6,3,8,7]=>0000010 [8,7,3,6,2,5,4,1]=>[1,4,5,2,6,3,7,8]=>1000011 [4,7,8,2,1,6,5,3]=>[3,5,6,1,2,8,7,4]=>0000000 [4,2,6,8,1,7,5,3]=>[3,5,7,1,8,6,2,4]=>0000000 [5,4,8,2,7,1,6,3]=>[3,6,1,7,2,8,4,5]=>0000000 [4,8,1,5,7,2,6,3]=>[3,6,2,7,5,1,8,4]=>0000000 [5,8,3,7,1,6,2,4]=>[4,2,6,1,7,3,8,5]=>0000000 [5,8,7,2,6,1,3,4]=>[4,3,1,6,2,7,8,5]=>0000000 [8,6,2,7,5,1,3,4]=>[4,3,1,5,7,2,6,8]=>0000001 [6,4,8,1,7,2,5,3]=>[3,5,2,7,1,8,4,6]=>0000000 [5,1,6,8,2,7,4,3]=>[3,4,7,2,8,6,1,5]=>0000000 [6,5,2,8,1,7,4,3]=>[3,4,7,1,8,2,5,6]=>0000000 [6,2,8,7,5,4,3,1]=>[1,3,4,5,7,8,2,6]=>1000000 [6,1,7,2,8,5,4,3]=>[3,4,5,8,2,7,1,6]=>0000000 [4,1,3,2,6,5,8,7]=>[7,8,5,6,2,3,1,4]=>0000000 [6,3,5,1,2,4,8,7]=>[7,8,4,2,1,5,3,6]=>0000000 [4,3,5,6,1,2,8,7]=>[7,8,2,1,6,5,3,4]=>0000000 [8,3,7,5,2,1,4,6]=>[6,4,1,2,5,7,3,8]=>0000001 [6,5,2,7,1,8,3,4]=>[4,3,8,1,7,2,5,6]=>0000000 [8,5,2,7,4,1,3,6]=>[6,3,1,4,7,2,5,8]=>0000001 [3,5,2,6,4,1,8,7]=>[7,8,1,4,6,2,5,3]=>0000000 [6,1,2,4,5,3,8,7]=>[7,8,3,5,4,2,1,6]=>0000000 [5,6,3,2,1,4,8,7]=>[7,8,4,1,2,3,6,5]=>0000000 [2,1,6,3,5,4,8,7]=>[7,8,4,5,3,6,1,2]=>0000000 [5,3,1,4,6,2,8,7]=>[7,8,2,6,4,1,3,5]=>0000000 [5,7,4,6,2,8,3,1]=>[1,3,8,2,6,4,7,5]=>1000000 [3,4,7,8,5,2,1,6]=>[6,1,2,5,8,7,4,3]=>0000000 [2,1,8,5,7,3,4,6]=>[6,4,3,7,5,8,1,2]=>0000000 [8,6,3,5,1,7,4,2]=>[2,4,7,1,5,3,6,8]=>0000001 [5,1,4,6,8,2,7,3]=>[3,7,2,8,6,4,1,5]=>0000000 [2,5,4,6,7,1,8,3]=>[3,8,1,7,6,4,5,2]=>0000000 [4,1,6,3,8,5,7,2]=>[2,7,5,8,3,6,1,4]=>0000000 [3,7,4,2,8,6,5,1]=>[1,5,6,8,2,4,7,3]=>1000000 [8,5,3,7,4,1,6,2]=>[2,6,1,4,7,3,5,8]=>0000001 [2,1,5,7,4,8,6,3]=>[3,6,8,4,7,5,1,2]=>0000000 [2,1,4,8,3,7,6,5]=>[5,6,7,3,8,4,1,2]=>0000000 [2,3,8,1,6,7,5,4]=>[4,5,7,6,1,8,3,2]=>0000000 [2,8,1,3,6,5,7,4]=>[4,7,5,6,3,1,8,2]=>0000000 [8,1,2,3,5,6,7,4]=>[4,7,6,5,3,2,1,8]=>0000001 [7,8,2,4,3,6,1,5]=>[5,1,6,3,4,2,8,7]=>0000010 [6,8,3,2,4,1,7,5]=>[5,7,1,4,2,3,8,6]=>0000000 [2,1,8,3,4,6,7,5]=>[5,7,6,4,3,8,1,2]=>0000000 [2,1,7,8,5,4,3,6]=>[6,3,4,5,8,7,1,2]=>0000000 [5,7,3,8,1,4,2,6]=>[6,2,4,1,8,3,7,5]=>0000000 [7,1,8,4,5,3,2,6]=>[6,2,3,5,4,8,1,7]=>0000000 [8,7,1,6,3,4,2,5]=>[5,2,4,3,6,1,7,8]=>0000011 [3,8,6,7,2,4,1,5]=>[5,1,4,2,7,6,8,3]=>0000000 [5,3,8,7,4,2,6,1]=>[1,6,2,4,7,8,3,5]=>1000000 [7,3,5,8,2,4,1,6]=>[6,1,4,2,8,5,3,7]=>0000000 [2,3,4,1,8,5,7,6]=>[6,7,5,8,1,4,3,2]=>0000000 [4,1,3,2,8,5,7,6]=>[6,7,5,8,2,3,1,4]=>0000000 [2,1,4,3,8,5,7,6]=>[6,7,5,8,3,4,1,2]=>0000000 [4,1,3,2,6,7,8,5]=>[5,8,7,6,2,3,1,4]=>0000000 [8,3,5,6,2,7,1,4]=>[4,1,7,2,6,5,3,8]=>0000001 [5,3,6,1,8,7,2,4]=>[4,2,7,8,1,6,3,5]=>0000000 [7,8,5,6,1,4,2,3]=>[3,2,4,1,6,5,8,7]=>0001010 [5,8,3,6,1,7,2,4]=>[4,2,7,1,6,3,8,5]=>0000000 [2,1,8,6,5,7,3,4]=>[4,3,7,5,6,8,1,2]=>0000000 [7,1,4,2,5,6,8,3]=>[3,8,6,5,2,4,1,7]=>0000000 [2,7,4,1,6,5,8,3]=>[3,8,5,6,1,4,7,2]=>0000000 [4,6,1,2,8,7,3,5]=>[5,3,7,8,2,1,6,4]=>0000000 [2,4,1,5,8,7,6,3]=>[3,6,7,8,5,1,4,2]=>0000000 [6,4,2,1,5,8,7,3]=>[3,7,8,5,1,2,4,6]=>0000000 [7,5,3,2,6,8,1,4]=>[4,1,8,6,2,3,5,7]=>0000000 [4,3,1,5,7,6,8,2]=>[2,8,6,7,5,1,3,4]=>0000000 [4,5,2,6,3,1,8,7]=>[7,8,1,3,6,2,5,4]=>0000000 [6,5,2,1,4,3,8,7]=>[7,8,3,4,1,2,5,6]=>0000000 [8,3,7,5,2,1,6,4]=>[4,6,1,2,5,7,3,8]=>0000001 [6,3,7,5,2,8,4,1]=>[1,4,8,2,5,7,3,6]=>1000000 [6,3,1,5,2,4,8,7]=>[7,8,4,2,5,1,3,6]=>0000000 [5,4,3,6,1,2,8,7]=>[7,8,2,1,6,3,4,5]=>0000000 [2,6,1,3,5,4,8,7]=>[7,8,4,5,3,1,6,2]=>0000000 [5,1,7,3,8,4,6,2]=>[2,6,4,8,3,7,1,5]=>0000000 [2,5,7,3,8,6,4,1]=>[1,4,6,8,3,7,5,2]=>1000000 [3,6,7,4,1,8,5,2]=>[2,5,8,1,4,7,6,3]=>0000000 [2,1,8,7,4,3,6,5]=>[5,6,3,4,7,8,1,2]=>0000000 [5,8,3,7,4,2,6,1]=>[1,6,2,4,7,3,8,5]=>1000000 [3,8,7,4,1,2,6,5]=>[5,6,2,1,4,7,8,3]=>0000000 [5,8,7,3,2,6,1,4]=>[4,1,6,2,3,7,8,5]=>0000000 [2,8,6,3,1,5,7,4]=>[4,7,5,1,3,6,8,2]=>0000000 [2,8,4,1,6,3,7,5]=>[5,7,3,6,1,4,8,2]=>0000000 [6,8,3,5,2,7,4,1]=>[1,4,7,2,5,3,8,6]=>1000000 [2,1,8,5,3,7,4,6]=>[6,4,7,3,5,8,1,2]=>0000000 [2,4,1,8,7,6,5,3]=>[3,5,6,7,8,1,4,2]=>0000000 [4,1,2,8,7,5,6,3]=>[3,6,5,7,8,2,1,4]=>0000000 [3,1,4,8,6,5,7,2]=>[2,7,5,6,8,4,1,3]=>0000000 [7,3,5,4,8,6,1,2]=>[2,1,6,8,4,5,3,7]=>0100000 [6,4,3,5,8,1,7,2]=>[2,7,1,8,5,3,4,6]=>0000000 [2,1,7,6,5,8,3,4]=>[4,3,8,5,6,7,1,2]=>0000000 [5,7,3,6,1,8,2,4]=>[4,2,8,1,6,3,7,5]=>0000000 [2,7,6,4,5,8,1,3]=>[3,1,8,5,4,6,7,2]=>0000000 [3,7,5,6,8,4,2,1]=>[1,2,4,8,6,5,7,3]=>1100000 [5,7,1,6,8,2,4,3]=>[3,4,2,8,6,1,7,5]=>0000000 [4,6,2,5,8,3,7,1]=>[1,7,3,8,5,2,6,4]=>1000000 [7,5,2,6,3,8,1,4]=>[4,1,8,3,6,2,5,7]=>0000000 [4,1,2,3,6,8,7,5]=>[5,7,8,6,3,2,1,4]=>0000000 [2,4,3,1,8,5,6,7]=>[7,6,5,8,1,3,4,2]=>0000000 [7,5,2,8,3,4,6,1]=>[1,6,4,3,8,2,5,7]=>1000000 [4,7,2,8,1,5,3,6]=>[6,3,5,1,8,2,7,4]=>0000000 [5,7,8,6,3,4,1,2]=>[2,1,4,3,6,8,7,5]=>0101000 [7,1,8,5,4,3,6,2]=>[2,6,3,4,5,8,1,7]=>0000000 [2,7,8,4,5,3,6,1]=>[1,6,3,5,4,8,7,2]=>1000000 [5,7,3,8,1,4,6,2]=>[2,6,4,1,8,3,7,5]=>0000000 [2,1,7,8,5,4,6,3]=>[3,6,4,5,8,7,1,2]=>0000000 [6,5,3,8,4,1,2,7]=>[7,2,1,4,8,3,5,6]=>0000000 [7,5,8,4,3,6,2,1]=>[1,2,6,3,4,8,5,7]=>1100000 [2,4,8,3,5,6,1,7]=>[7,1,6,5,3,8,4,2]=>0000000 [4,1,8,3,6,5,2,7]=>[7,2,5,6,3,8,1,4]=>0000000 [8,4,1,3,7,2,6,5]=>[5,6,2,7,3,1,4,8]=>0000001 [4,3,8,2,5,1,7,6]=>[6,7,1,5,2,8,3,4]=>0000000 [7,4,3,8,2,5,1,6]=>[6,1,5,2,8,3,4,7]=>0000000 [7,8,2,1,6,5,3,4]=>[4,3,5,6,1,2,8,7]=>0000010 [4,3,8,1,7,2,5,6]=>[6,5,2,7,1,8,3,4]=>0000000 [7,8,1,4,6,2,5,3]=>[3,5,2,6,4,1,8,7]=>0000010 [7,8,3,6,5,4,1,2]=>[2,1,4,5,6,3,8,7]=>0100010 [7,8,2,6,4,1,3,5]=>[5,3,1,4,6,2,8,7]=>0000010 [2,1,8,7,5,4,3,6]=>[6,3,4,5,7,8,1,2]=>0000000 [5,3,7,1,6,4,8,2]=>[2,8,4,6,1,7,3,5]=>0000000 [6,1,2,5,8,7,4,3]=>[3,4,7,8,5,2,1,6]=>0000000 [4,3,8,7,5,6,1,2]=>[2,1,6,5,7,8,3,4]=>0100000 [1,8,5,7,3,6,4,2]=>[2,4,6,3,7,5,8,1]=>0000000 [2,7,5,8,3,6,1,4]=>[4,1,6,3,8,5,7,2]=>0000000 [1,5,6,8,2,4,7,3]=>[3,7,4,2,8,6,5,1]=>0000000 [3,6,8,4,7,5,1,2]=>[2,1,5,7,4,8,6,3]=>0100000 [4,5,6,7,2,8,1,3]=>[3,1,8,2,7,6,5,4]=>0000000 [1,5,8,6,2,7,3,4]=>[4,3,7,2,6,8,5,1]=>0000000 [5,1,6,3,4,2,8,7]=>[7,8,2,4,3,6,1,5]=>0000000 [6,3,4,5,8,7,1,2]=>[2,1,7,8,5,4,3,6]=>0100000 [6,2,4,1,8,3,7,5]=>[5,7,3,8,1,4,2,6]=>0000000 [5,7,2,4,1,6,3,8]=>[8,3,6,1,4,2,7,5]=>0000000 [5,8,7,6,2,3,1,4]=>[4,1,3,2,6,7,8,5]=>0001000 [4,2,7,8,1,6,3,5]=>[5,3,6,1,8,7,2,4]=>0000000 [2,1,8,7,6,5,3,4]=>[4,3,5,6,7,8,1,2]=>0000000 [3,1,4,7,8,2,6,5]=>[5,6,2,8,7,4,1,3]=>0000000 [4,3,7,5,6,8,1,2]=>[2,1,8,6,5,7,3,4]=>0100000 [4,8,6,3,5,7,1,2]=>[2,1,7,5,3,6,8,4]=>0100000 [5,2,8,7,1,6,4,3]=>[3,4,6,1,7,8,2,5]=>0000000 [3,7,6,8,5,2,1,4]=>[4,1,2,5,8,6,7,3]=>0000000 [2,7,8,6,5,4,1,3]=>[3,1,4,5,6,8,7,2]=>0000000 [5,3,7,8,2,1,4,6]=>[6,4,1,2,8,7,3,5]=>0000000 [7,6,1,2,5,8,3,4]=>[4,3,8,5,2,1,6,7]=>0000000 [2,1,7,8,4,3,5,6]=>[6,5,3,4,8,7,1,2]=>0000000 [6,1,8,3,2,4,5,7]=>[7,5,4,2,3,8,1,6]=>0000000 [5,8,7,4,2,1,6,3]=>[3,6,1,2,4,7,8,5]=>0000000 [4,7,2,8,1,3,6,5]=>[5,6,3,1,8,2,7,4]=>0000000 [7,3,8,6,1,2,5,4]=>[4,5,2,1,6,8,3,7]=>0000000 [3,4,7,1,8,2,6,5]=>[5,6,2,8,1,7,4,3]=>0000000 [1,8,2,7,3,4,5,6]=>[6,5,4,3,7,2,8,1]=>0000000 [1,8,2,7,3,5,4,6]=>[6,4,5,3,7,2,8,1]=>0000000 [1,7,2,8,3,5,4,6]=>[6,4,5,3,8,2,7,1]=>0000000 [1,6,2,8,3,5,4,7]=>[7,4,5,3,8,2,6,1]=>0000000 [1,2,3,8,4,6,5,7]=>[7,5,6,4,8,3,2,1]=>0000000 [1,5,2,7,3,6,4,8]=>[8,4,6,3,7,2,5,1]=>0000000 [1,7,2,6,3,5,4,8]=>[8,4,5,3,6,2,7,1]=>0000000 [1,6,2,5,3,8,4,7]=>[7,4,8,3,5,2,6,1]=>0000000 [1,7,2,5,3,8,4,6]=>[6,4,8,3,5,2,7,1]=>0000000 [1,8,2,6,3,7,4,5]=>[5,4,7,3,6,2,8,1]=>0000000 [1,2,3,8,4,7,5,6]=>[6,5,7,4,8,3,2,1]=>0000000 [1,4,2,8,3,7,5,6]=>[6,5,7,3,8,2,4,1]=>0000000 [1,7,2,8,3,6,4,5]=>[5,4,6,3,8,2,7,1]=>0000000 [1,8,2,7,3,6,4,5]=>[5,4,6,3,7,2,8,1]=>0000000 [2,8,4,1,6,5,3,7]=>[7,3,5,6,1,4,8,2]=>0000000 [2,8,4,1,5,6,7,3]=>[3,7,6,5,1,4,8,2]=>0000000 [2,8,7,4,1,6,3,5]=>[5,3,6,1,4,7,8,2]=>0000000 [7,2,8,5,1,6,4,3]=>[3,4,6,1,5,8,2,7]=>0000000 [2,8,5,4,3,1,7,6]=>[6,7,1,3,4,5,8,2]=>0000000 [2,8,5,3,4,1,6,7]=>[7,6,1,4,3,5,8,2]=>0000000 [2,8,7,6,1,4,5,3]=>[3,5,4,1,6,7,8,2]=>0000000 [2,8,6,5,7,3,1,4]=>[4,1,3,7,5,6,8,2]=>0000000 [6,2,3,8,5,1,7,4]=>[4,7,1,5,8,3,2,6]=>0000000 [6,4,8,5,1,3,7,2]=>[2,7,3,1,5,8,4,6]=>0000000 [6,3,7,5,2,1,8,4]=>[4,8,1,2,5,7,3,6]=>0000000 [4,3,7,5,1,2,8,6]=>[6,8,2,1,5,7,3,4]=>0000000 [3,4,1,2,7,6,8,5]=>[5,8,6,7,2,1,4,3]=>0000000 [4,3,2,1,8,6,5,7]=>[7,5,6,8,1,2,3,4]=>0000000 [4,2,1,3,8,7,6,5]=>[5,6,7,8,3,1,2,4]=>0000000 [7,1,6,8,4,3,5,2]=>[2,5,3,4,8,6,1,7]=>0000000 [6,1,2,8,4,5,7,3]=>[3,7,5,4,8,2,1,6]=>0000000 [5,6,8,2,3,1,7,4]=>[4,7,1,3,2,8,6,5]=>0000000 [6,5,8,2,4,3,1,7]=>[7,1,3,4,2,8,5,6]=>0000000 [6,5,8,4,2,3,7,1]=>[1,7,3,2,4,8,5,6]=>1000000 [7,5,3,8,2,4,1,6]=>[6,1,4,2,8,3,5,7]=>0000000 [6,2,5,8,3,7,1,4]=>[4,1,7,3,8,5,2,6]=>0000000 [5,2,1,8,7,6,3,4]=>[4,3,6,7,8,1,2,5]=>0000000 [7,1,3,8,4,6,2,5]=>[5,2,6,4,8,3,1,7]=>0000000 [5,7,8,4,3,6,2,1]=>[1,2,6,3,4,8,7,5]=>1100000 [4,1,8,3,5,6,7,2]=>[2,7,6,5,3,8,1,4]=>0000000 [4,1,8,3,6,2,7,5]=>[5,7,2,6,3,8,1,4]=>0000000 [2,3,4,8,6,1,7,5]=>[5,7,1,6,8,4,3,2]=>0000000 [2,3,4,8,6,5,1,7]=>[7,1,5,6,8,4,3,2]=>0000000 [2,7,3,5,8,6,1,4]=>[4,1,6,8,5,3,7,2]=>0000000 [5,3,6,4,1,8,7,2]=>[2,7,8,1,4,6,3,5]=>0000000 [7,3,5,6,8,4,2,1]=>[1,2,4,8,6,5,3,7]=>1100000 [6,3,5,1,8,2,7,4]=>[4,7,2,8,1,5,3,6]=>0000000 [2,7,6,5,8,3,4,1]=>[1,4,3,8,5,6,7,2]=>1000000 [5,7,1,6,3,8,4,2]=>[2,4,8,3,6,1,7,5]=>0000000 [3,2,4,1,7,8,5,6]=>[6,5,8,7,1,4,2,3]=>0000000 [3,1,4,2,7,8,6,5]=>[5,6,8,7,2,4,1,3]=>0000000 [2,5,4,6,1,7,8,3]=>[3,8,7,1,6,4,5,2]=>0000000 [7,2,1,4,3,6,5,8]=>[8,5,6,3,4,1,2,7]=>0000000 [7,3,4,1,2,6,5,8]=>[8,5,6,2,1,4,3,7]=>0000000 [7,4,3,2,1,6,5,8]=>[8,5,6,1,2,3,4,7]=>0000000 [7,6,3,2,5,4,1,8]=>[8,1,4,5,2,3,6,7]=>0000000 [1,8,3,2,5,4,7,6]=>[6,7,4,5,2,3,8,1]=>0000000 [1,8,4,5,2,3,7,6]=>[6,7,3,2,5,4,8,1]=>0000000 [7,3,5,1,6,2,4,8]=>[8,4,2,6,1,5,3,7]=>0000000 [7,2,1,5,6,3,4,8]=>[8,4,3,6,5,1,2,7]=>0000000 [7,2,1,6,5,4,3,8]=>[8,3,4,5,6,1,2,7]=>0000000 [7,3,6,1,5,4,2,8]=>[8,2,4,5,1,6,3,7]=>0000000 [1,8,5,4,3,2,7,6]=>[6,7,2,3,4,5,8,1]=>0000000 [3,2,1,8,5,4,7,6]=>[6,7,4,5,8,1,2,3]=>0000000 [2,3,8,1,5,4,7,6]=>[6,7,4,5,1,8,3,2]=>0000000 [2,4,8,5,1,3,7,6]=>[6,7,3,1,5,8,4,2]=>0000000 [2,5,8,4,3,1,7,6]=>[6,7,1,3,4,8,5,2]=>0000000 [2,6,8,4,3,7,1,5]=>[5,1,7,3,4,8,6,2]=>0000000 [2,7,8,4,3,6,5,1]=>[1,5,6,3,4,8,7,2]=>1000000 [1,8,7,5,6,3,4,2]=>[2,4,3,6,5,7,8,1]=>0000000 [2,7,8,5,6,3,4,1]=>[1,4,3,6,5,8,7,2]=>1000000 [2,6,8,5,7,3,1,4]=>[4,1,3,7,5,8,6,2]=>0000000 [2,5,8,6,7,1,3,4]=>[4,3,1,7,6,8,5,2]=>0000000 [2,4,8,6,1,7,3,5]=>[5,3,7,1,6,8,4,2]=>0000000 [4,5,7,6,8,1,3,2]=>[2,3,1,8,6,7,5,4]=>0010000 [1,8,5,6,7,2,3,4]=>[4,3,2,7,6,5,8,1]=>0000000 [4,6,5,7,8,2,1,3]=>[3,1,2,8,7,5,6,4]=>0010000 [5,4,6,7,1,8,2,3]=>[3,2,8,1,7,6,4,5]=>0000000 [5,3,6,1,7,8,2,4]=>[4,2,8,7,1,6,3,5]=>0000000 [5,2,1,6,7,8,3,4]=>[4,3,8,7,6,1,2,5]=>0000000 [6,2,1,5,7,3,8,4]=>[4,8,3,7,5,1,2,6]=>0000000 [6,3,5,1,7,2,8,4]=>[4,8,2,7,1,5,3,6]=>0000000 [6,4,5,7,1,2,8,3]=>[3,8,2,1,7,5,4,6]=>0000000 [6,5,4,7,2,1,8,3]=>[3,8,1,2,7,4,5,6]=>0000000 [1,8,4,6,2,7,3,5]=>[5,3,7,2,6,4,8,1]=>0000000 [1,8,3,2,6,7,4,5]=>[5,4,7,6,2,3,8,1]=>0000000 [5,7,3,2,6,8,4,1]=>[1,4,8,6,2,3,7,5]=>1000000 [6,5,3,2,7,1,8,4]=>[4,8,1,7,2,3,5,6]=>0000000 [6,4,3,2,1,7,8,5]=>[5,8,7,1,2,3,4,6]=>0000000 [6,2,1,4,3,7,8,5]=>[5,8,7,3,4,1,2,6]=>0000000 [5,2,1,4,3,8,7,6]=>[6,7,8,3,4,1,2,5]=>0000000 [5,3,4,1,2,8,7,6]=>[6,7,8,2,1,4,3,5]=>0000000 [4,5,3,2,8,1,7,6]=>[6,7,1,8,2,3,5,4]=>0000000 [4,6,3,2,8,7,1,5]=>[5,1,7,8,2,3,6,4]=>0000000 [4,7,3,2,8,6,5,1]=>[1,5,6,8,2,3,7,4]=>1000000 [3,7,4,8,2,6,5,1]=>[1,5,6,2,8,4,7,3]=>1000000 [3,6,4,8,2,7,1,5]=>[5,1,7,2,8,4,6,3]=>0000000 [3,5,4,8,2,1,7,6]=>[6,7,1,2,8,4,5,3]=>0000000 [3,4,5,8,1,2,7,6]=>[6,7,2,1,8,5,4,3]=>0000000 [4,3,5,1,8,2,7,6]=>[6,7,2,8,1,5,3,4]=>0000000 [4,2,1,5,8,3,7,6]=>[6,7,3,8,5,1,2,4]=>0000000 [3,4,6,8,1,7,2,5]=>[5,2,7,1,8,6,4,3]=>0000000 [3,5,6,8,7,1,2,4]=>[4,2,1,7,8,6,5,3]=>0000000 [3,6,5,8,7,2,1,4]=>[4,1,2,7,8,5,6,3]=>0000000 [3,7,5,8,6,2,4,1]=>[1,4,2,6,8,5,7,3]=>1000000 [2,3,8,1,7,6,5,4]=>[4,5,6,7,1,8,3,2]=>0000000 [2,1,4,3,6,5,8,7,10,9,12,11]=>[11,12,9,10,7,8,5,6,3,4,1,2]=>00000000000 [8,1,6,7,3,2,5,4]=>[4,5,2,3,7,6,1,8]=>0000001 [8,1,6,7,2,3,4,5]=>[5,4,3,2,7,6,1,8]=>0000001 [8,1,2,4,3,6,5,7]=>[7,5,6,3,4,2,1,8]=>0000001 [8,1,4,3,2,7,6,5]=>[5,6,7,2,3,4,1,8]=>0000001 [8,1,5,3,7,2,6,4]=>[4,6,2,7,3,5,1,8]=>0000001 [2,7,8,3,4,5,6,1]=>[1,6,5,4,3,8,7,2]=>1000000 [6,3,2,1,4,5,8,7]=>[7,8,5,4,1,2,3,6]=>0000000 [4,7,8,5,6,1,2,3]=>[3,2,1,6,5,8,7,4]=>0010000 [3,7,8,5,6,2,1,4]=>[4,1,2,6,5,8,7,3]=>0000000 [3,7,8,4,2,6,1,5]=>[5,1,6,2,4,8,7,3]=>0000000 [2,3,6,7,4,5,8,1]=>[1,8,5,4,7,6,3,2]=>1000000 [3,5,4,2,8,7,1,6]=>[6,1,7,8,2,4,5,3]=>0000000 [4,6,5,8,7,1,2,3]=>[3,2,1,7,8,5,6,4]=>0010000 [5,4,2,3,1,8,6,7]=>[7,6,8,1,3,2,4,5]=>0000000 [6,5,3,1,8,2,7,4]=>[4,7,2,8,1,3,5,6]=>0000000 [6,5,4,1,8,7,2,3]=>[3,2,7,8,1,4,5,6]=>0000000 [7,5,1,4,8,6,2,3]=>[3,2,6,8,4,1,5,7]=>0000000 [7,4,1,3,2,8,6,5]=>[5,6,8,2,3,1,4,7]=>0000000 [6,4,2,1,3,8,5,7]=>[7,5,8,3,1,2,4,6]=>0000000 [2,6,4,8,3,7,5,1]=>[1,5,7,3,8,4,6,2]=>1000000 [2,6,5,8,7,3,4,1]=>[1,4,3,7,8,5,6,2]=>1000000 [7,5,1,2,8,3,4,6]=>[6,4,3,8,2,1,5,7]=>0000000 [7,6,1,8,2,3,4,5]=>[5,4,3,2,8,1,6,7]=>0000000 [7,6,1,8,4,5,2,3]=>[3,2,5,4,8,1,6,7]=>0000000 [6,7,8,1,4,5,2,3]=>[3,2,5,4,1,8,7,6]=>0000100 [6,7,8,1,3,2,5,4]=>[4,5,2,3,1,8,7,6]=>0000100 [2,5,6,7,8,3,4,1]=>[1,4,3,8,7,6,5,2]=>1000000 [2,4,6,7,3,8,5,1]=>[1,5,8,3,7,6,4,2]=>1000000 [4,7,8,3,2,1,6,5]=>[5,6,1,2,3,8,7,4]=>0000000 [5,7,8,3,1,2,6,4]=>[4,6,2,1,3,8,7,5]=>0000000 [5,7,8,4,1,6,2,3]=>[3,2,6,1,4,8,7,5]=>0000000 [5,6,4,8,1,7,2,3]=>[3,2,7,1,8,4,6,5]=>0000000 [4,6,3,8,2,1,7,5]=>[5,7,1,2,8,3,6,4]=>0000000 [4,3,6,7,2,1,8,5]=>[5,8,1,2,7,6,3,4]=>0000000 [3,5,6,7,8,2,1,4]=>[4,1,2,8,7,6,5,3]=>0000000 [3,4,6,7,2,8,1,5]=>[5,1,8,2,7,6,4,3]=>0000000 [3,4,5,2,7,8,1,6]=>[6,1,8,7,2,5,4,3]=>0000000 [7,4,6,1,8,3,5,2]=>[2,5,3,8,1,6,4,7]=>0000000 [7,3,5,1,8,4,6,2]=>[2,6,4,8,1,5,3,7]=>0000000 [7,3,4,1,8,5,6,2]=>[2,6,5,8,1,4,3,7]=>0000000 [4,5,7,3,1,8,6,2]=>[2,6,8,1,3,7,5,4]=>0000000 [4,5,6,2,1,8,7,3]=>[3,7,8,1,2,6,5,4]=>0000000 [3,6,7,5,1,8,4,2]=>[2,4,8,1,5,7,6,3]=>0000000 [7,5,6,1,8,3,4,2]=>[2,4,3,8,1,6,5,7]=>0000000 [7,6,5,1,8,4,3,2]=>[2,3,4,8,1,5,6,7]=>0000000 [5,3,2,1,8,7,6,4]=>[4,6,7,8,1,2,3,5]=>0000000 [2,6,4,1,7,8,5,3]=>[3,5,8,7,1,4,6,2]=>0000000 [2,6,5,1,7,8,4,3]=>[3,4,8,7,1,5,6,2]=>0000000 [4,5,7,1,6,8,2,3]=>[3,2,8,6,1,7,5,4]=>0000000 [4,5,7,1,3,8,2,6]=>[6,2,8,3,1,7,5,4]=>0000000 [6,5,1,2,8,4,3,7]=>[7,3,4,8,2,1,5,6]=>0000000 [4,3,1,2,8,6,5,7]=>[7,5,6,8,2,1,3,4]=>0000000 [6,1,2,5,8,3,4,7]=>[7,4,3,8,5,2,1,6]=>0000000 [2,6,1,5,7,8,3,4]=>[4,3,8,7,5,1,6,2]=>0000000 [7,6,1,5,8,3,2,4]=>[4,2,3,8,5,1,6,7]=>0000000 [3,6,7,1,5,8,2,4]=>[4,2,8,5,1,7,6,3]=>0000000 [7,1,6,5,8,2,4,3]=>[3,4,2,8,5,6,1,7]=>0000000 [7,5,1,6,8,4,2,3]=>[3,2,4,8,6,1,5,7]=>0000000 [7,4,1,6,8,5,2,3]=>[3,2,5,8,6,1,4,7]=>0000000 [5,2,3,1,8,6,7,4]=>[4,7,6,8,1,3,2,5]=>0000000 [6,2,1,5,8,7,3,4]=>[4,3,7,8,5,1,2,6]=>0000000 [7,3,1,5,8,6,2,4]=>[4,2,6,8,5,1,3,7]=>0000000 [6,2,4,1,8,5,7,3]=>[3,7,5,8,1,4,2,6]=>0000000 [6,2,5,1,8,4,7,3]=>[3,7,4,8,1,5,2,6]=>0000000 [7,1,6,4,8,2,5,3]=>[3,5,2,8,4,6,1,7]=>0000000 [7,1,5,3,8,2,6,4]=>[4,6,2,8,3,5,1,7]=>0000000 [6,1,5,2,8,3,7,4]=>[4,7,3,8,2,5,1,6]=>0000000 [7,3,1,4,8,6,2,5]=>[5,2,6,8,4,1,3,7]=>0000000 [6,2,1,4,8,7,3,5]=>[5,3,7,8,4,1,2,6]=>0000000 [6,1,4,2,8,3,7,5]=>[5,7,3,8,2,4,1,6]=>0000000 [7,1,4,3,8,2,6,5]=>[5,6,2,8,3,4,1,7]=>0000000 [5,1,3,2,8,4,7,6]=>[6,7,4,8,2,3,1,5]=>0000000 [4,2,1,3,8,7,5,6]=>[6,5,7,8,3,1,2,4]=>0000000 [2,6,1,4,7,8,3,5]=>[5,3,8,7,4,1,6,2]=>0000000 [7,1,3,5,8,2,4,6]=>[6,4,2,8,5,3,1,7]=>0000000 [7,8,4,2,5,1,3,6]=>[6,3,1,5,2,4,8,7]=>0000010 [7,8,2,4,5,6,1,3]=>[3,1,6,5,4,2,8,7]=>0000010 [2,6,4,8,3,7,1,5]=>[5,1,7,3,8,4,6,2]=>0000000 [1,4,6,8,3,7,5,2]=>[2,5,7,3,8,6,4,1]=>0000000 [2,1,8,4,7,3,6,5]=>[5,6,3,7,4,8,1,2]=>0000000 [3,5,8,4,7,6,1,2]=>[2,1,6,7,4,8,5,3]=>0100000 [4,7,5,1,3,6,8,2]=>[2,8,6,3,1,5,7,4]=>0000000 [5,7,3,6,1,4,8,2]=>[2,8,4,1,6,3,7,5]=>0000000 [5,3,6,7,2,1,8,4]=>[4,8,1,2,7,6,3,5]=>0000000 [3,5,6,7,8,1,4,2]=>[2,4,1,8,7,6,5,3]=>0000000 [3,6,5,7,8,2,1,4]=>[4,1,2,8,7,5,6,3]=>0000000 [2,5,7,6,8,1,3,4]=>[4,3,1,8,6,7,5,2]=>0000000 [2,7,1,8,5,3,4,6]=>[6,4,3,5,8,1,7,2]=>0000000 [4,2,8,1,6,3,7,5]=>[5,7,3,6,1,8,2,4]=>0000000 [3,4,7,1,5,2,6,8]=>[8,6,2,5,1,7,4,3]=>0000000 [1,6,4,3,8,2,5,7]=>[7,5,2,8,3,4,6,1]=>0000000 [3,6,5,4,1,2,7,8]=>[8,7,2,1,4,5,6,3]=>0000000 [2,4,5,1,7,8,6,3]=>[3,6,8,7,1,5,4,2]=>0000000 [2,6,4,1,8,3,7,5]=>[5,7,3,8,1,4,6,2]=>0000000 [3,6,4,5,8,7,1,2]=>[2,1,7,8,5,4,6,3]=>0100000 [5,6,2,7,3,1,4,8]=>[8,4,1,3,7,2,6,5]=>0000000 [6,7,1,5,2,8,3,4]=>[4,3,8,2,5,1,7,6]=>0000000 [6,7,5,3,8,4,1,2]=>[2,1,4,8,3,5,7,6]=>0100000 [7,5,2,4,3,1,6,8]=>[8,6,1,3,4,2,5,7]=>0000000 [7,4,6,1,2,5,3,8]=>[8,3,5,2,1,6,4,7]=>0000000 [7,1,4,2,5,3,6,8]=>[8,6,3,5,2,4,1,7]=>0000000 [6,8,1,3,7,5,4,2]=>[2,4,5,7,3,1,8,6]=>0000000 [7,1,3,5,6,4,2,8]=>[8,2,4,6,5,3,1,7]=>0000000 [7,4,2,6,5,1,3,8]=>[8,3,1,5,6,2,4,7]=>0000000 [2,5,3,6,8,4,7,1]=>[1,7,4,8,6,3,5,2]=>1000000 [2,5,3,7,6,1,8,4]=>[4,8,1,6,7,3,5,2]=>0000000 [2,5,7,8,1,4,6,3]=>[3,6,4,1,8,7,5,2]=>0000000 [3,5,7,4,1,6,2,8]=>[8,2,6,1,4,7,5,3]=>0000000 [5,2,1,8,6,3,7,4]=>[4,7,3,6,8,1,2,5]=>0000000 [4,1,2,8,5,6,7,3]=>[3,7,6,5,8,2,1,4]=>0000000 [1,4,2,7,5,8,6,3]=>[3,6,8,5,7,2,4,1]=>0000000 [5,3,8,7,6,2,4,1]=>[1,4,2,6,7,8,3,5]=>1000000 [5,8,4,7,6,2,1,3]=>[3,1,2,6,7,4,8,5]=>0010000 [5,8,7,4,3,6,1,2]=>[2,1,6,3,4,7,8,5]=>0100000 [6,4,8,3,1,7,2,5]=>[5,2,7,1,3,8,4,6]=>0000000 [6,4,2,8,7,1,3,5]=>[5,3,1,7,8,2,4,6]=>0000000 [6,3,8,7,2,5,1,4]=>[4,1,5,2,7,8,3,6]=>0000000 [6,3,1,8,7,2,4,5]=>[5,4,2,7,8,1,3,6]=>0000000 [5,8,3,7,1,6,4,2]=>[2,4,6,1,7,3,8,5]=>0000000 [5,1,8,4,6,2,7,3]=>[3,7,2,6,4,8,1,5]=>0000000 [5,8,7,4,1,6,2,3]=>[3,2,6,1,4,7,8,5]=>0000000 [6,4,8,1,2,7,3,5]=>[5,3,7,2,1,8,4,6]=>0000000 [6,8,5,1,2,3,7,4]=>[4,7,3,2,1,5,8,6]=>0000000 [6,8,5,3,1,2,7,4]=>[4,7,2,1,3,5,8,6]=>0000000 [3,5,6,1,8,4,7,2]=>[2,7,4,8,1,6,5,3]=>0000000 [4,2,6,1,7,3,5,8]=>[8,5,3,7,1,6,2,4]=>0000000 [4,6,3,1,2,7,5,8]=>[8,5,7,2,1,3,6,4]=>0000000 [3,5,2,7,8,1,6,4]=>[4,6,1,8,7,2,5,3]=>0000000 [3,1,4,7,5,6,2,8]=>[8,2,6,5,7,4,1,3]=>0000000 [3,4,6,8,5,2,7,1]=>[1,7,2,5,8,6,4,3]=>1000000 [4,2,5,6,1,8,7,3]=>[3,7,8,1,6,5,2,4]=>0000000 [2,1,7,5,8,6,4,3]=>[3,4,6,8,5,7,1,2]=>0000000 [1,2,7,5,3,8,6,4]=>[4,6,8,3,5,7,2,1]=>0000000 [4,1,2,7,3,8,6,5]=>[5,6,8,3,7,2,1,4]=>0000000 [7,1,4,2,5,3,8,6]=>[6,8,3,5,2,4,1,7]=>0000000 [3,1,2,6,8,5,4,7]=>[7,4,5,8,6,2,1,3]=>0000000 [1,3,7,2,4,8,6,5]=>[5,6,8,4,2,7,3,1]=>0000000 [3,2,7,8,1,6,5,4]=>[4,5,6,1,8,7,2,3]=>0000000 [2,4,1,7,8,6,5,3]=>[3,5,6,8,7,1,4,2]=>0000000 [2,3,7,1,5,8,6,4]=>[4,6,8,5,1,7,3,2]=>0000000 [5,2,8,1,3,7,4,6]=>[6,4,7,3,1,8,2,5]=>0000000 [2,6,8,3,1,5,7,4]=>[4,7,5,1,3,8,6,2]=>0000000 [6,3,7,4,5,1,8,2]=>[2,8,1,5,4,7,3,6]=>0000000 [5,7,4,6,2,8,1,3]=>[3,1,8,2,6,4,7,5]=>0000000 [4,8,3,1,7,2,5,6]=>[6,5,2,7,1,3,8,4]=>0000000 [5,2,8,4,7,1,6,3]=>[3,6,1,7,4,8,2,5]=>0000000 [5,8,4,7,3,1,6,2]=>[2,6,1,3,7,4,8,5]=>0000000 [4,6,8,3,1,7,5,2]=>[2,5,7,1,3,8,6,4]=>0000000 [6,3,8,2,7,1,5,4]=>[4,5,1,7,2,8,3,6]=>0000000 [3,5,1,8,2,7,4,6]=>[6,4,7,2,8,1,5,3]=>0000000 [7,5,1,3,6,2,4,8]=>[8,4,2,6,3,1,5,7]=>0000000 [5,7,4,1,6,2,3,8]=>[8,3,2,6,1,4,7,5]=>0000000 [4,1,6,2,8,3,7,5]=>[5,7,3,8,2,6,1,4]=>0000000 [1,6,2,8,5,3,7,4]=>[4,7,3,5,8,2,6,1]=>0000000 [6,8,5,3,1,7,4,2]=>[2,4,7,1,3,5,8,6]=>0000000 [5,6,7,3,1,8,4,2]=>[2,4,8,1,3,7,6,5]=>0000000 [5,6,2,1,7,8,4,3]=>[3,4,8,7,1,2,6,5]=>0000000 [5,6,3,7,1,2,4,8]=>[8,4,2,1,7,3,6,5]=>0000000 [6,4,7,2,8,1,5,3]=>[3,5,1,8,2,7,4,6]=>0000000 [6,7,4,8,3,1,5,2]=>[2,5,1,3,8,4,7,6]=>0000000 [5,7,3,8,2,6,1,4]=>[4,1,6,2,8,3,7,5]=>0000000 [3,4,7,8,2,6,1,5]=>[5,1,6,2,8,7,4,3]=>0000000 [3,8,2,4,6,7,1,5]=>[5,1,7,6,4,2,8,3]=>0000000 [4,8,3,5,6,1,7,2]=>[2,7,1,6,5,3,8,4]=>0000000 [8,4,3,6,5,1,7,2]=>[2,7,1,5,6,3,4,8]=>0000001 [8,1,7,2,6,3,5,4]=>[4,5,3,6,2,7,1,8]=>0000001 [8,7,6,1,5,4,3,2]=>[2,3,4,5,1,6,7,8]=>0000111 [1,7,8,2,5,6,3,4]=>[4,3,6,5,2,8,7,1]=>0000000 [7,6,8,1,4,3,5,2]=>[2,5,3,4,1,8,6,7]=>0000100 [6,7,8,1,3,4,5,2]=>[2,5,4,3,1,8,7,6]=>0000100 [5,7,8,2,1,4,6,3]=>[3,6,4,1,2,8,7,5]=>0000000 [4,7,2,8,1,5,6,3]=>[3,6,5,1,8,2,7,4]=>0000000 [3,2,7,8,1,5,6,4]=>[4,6,5,1,8,7,2,3]=>0000000 [3,2,6,8,4,1,7,5]=>[5,7,1,4,8,6,2,3]=>0000000 [4,6,2,8,3,1,7,5]=>[5,7,1,3,8,2,6,4]=>0000000 [8,5,7,3,1,6,4,2]=>[2,4,6,1,3,7,5,8]=>0000001 [1,5,4,8,2,7,3,6]=>[6,3,7,2,8,4,5,1]=>0000000 [6,4,3,8,2,1,7,5]=>[5,7,1,2,8,3,4,6]=>0000000 [5,4,3,2,8,1,7,6]=>[6,7,1,8,2,3,4,5]=>0000000 [4,5,2,3,8,1,7,6]=>[6,7,1,8,3,2,5,4]=>0000000 [3,2,5,4,8,1,7,6]=>[6,7,1,8,4,5,2,3]=>0000000 [6,4,3,1,5,2,7,8]=>[8,7,2,5,1,3,4,6]=>0000000 [7,4,3,1,2,6,5,8]=>[8,5,6,2,1,3,4,7]=>0000000 [7,5,1,4,2,6,3,8]=>[8,3,6,2,4,1,5,7]=>0000000 [4,6,2,1,5,3,7,8]=>[8,7,3,5,1,2,6,4]=>0000000 [3,2,6,1,5,4,7,8]=>[8,7,4,5,1,6,2,3]=>0000000 [3,2,7,1,4,6,5,8]=>[8,5,6,4,1,7,2,3]=>0000000 [5,7,1,3,2,6,4,8]=>[8,4,6,2,3,1,7,5]=>0000000 [8,6,1,2,5,3,7,4]=>[4,7,3,5,2,1,6,8]=>0000001 [8,7,1,2,3,6,5,4]=>[4,5,6,3,2,1,7,8]=>0000011 [4,1,3,2,5,6,7,8]=>[8,7,6,5,2,3,1,4]=>0000000 [5,1,2,4,3,6,7,8]=>[8,7,6,3,4,2,1,5]=>0000000 [7,1,2,3,4,6,5,8]=>[8,5,6,4,3,2,1,7]=>0000000 [8,1,2,3,4,5,7,6]=>[6,7,5,4,3,2,1,8]=>0000001 [5,8,7,3,4,1,2,6]=>[6,2,1,4,3,7,8,5]=>0000000 [6,7,3,8,5,1,2,4]=>[4,2,1,5,8,3,7,6]=>0000000 [5,4,7,6,2,3,8,1]=>[1,8,3,2,6,7,4,5]=>1000000 [4,3,8,7,6,1,2,5]=>[5,2,1,6,7,8,3,4]=>0000000 [4,8,3,7,5,1,2,6]=>[6,2,1,5,7,3,8,4]=>0000000 [4,5,6,7,1,8,3,2]=>[2,3,8,1,7,6,5,4]=>0000000 [3,5,6,2,7,4,8,1]=>[1,8,4,7,2,6,5,3]=>1000000 [3,5,6,1,7,8,4,2]=>[2,4,8,7,1,6,5,3]=>0000000 [2,5,6,8,1,7,3,4]=>[4,3,7,1,8,6,5,2]=>0000000 [1,5,6,8,2,3,7,4]=>[4,7,3,2,8,6,5,1]=>0000000 [8,1,3,2,5,4,6,7]=>[7,6,4,5,2,3,1,8]=>0000001 [2,4,1,6,8,7,5,3]=>[3,5,7,8,6,1,4,2]=>0000000 [5,3,7,2,6,4,8,1]=>[1,8,4,6,2,7,3,5]=>1000000 [6,7,2,1,8,5,4,3]=>[3,4,5,8,1,2,7,6]=>0000000 [8,5,6,2,1,4,3,7]=>[7,3,4,1,2,6,5,8]=>0000001 [5,8,7,1,2,3,4,6]=>[6,4,3,2,1,7,8,5]=>0000000 [5,1,7,3,4,8,6,2]=>[2,6,8,4,3,7,1,5]=>0000000 [5,1,7,8,2,3,6,4]=>[4,6,3,2,8,7,1,5]=>0000000 [4,8,1,7,2,3,5,6]=>[6,5,3,2,7,1,8,4]=>0000000 [3,1,8,2,7,4,6,5]=>[5,6,4,7,2,8,1,3]=>0000000 [3,1,2,8,7,5,6,4]=>[4,6,5,7,8,2,1,3]=>0000000 [2,1,8,3,4,7,6,5]=>[5,6,7,4,3,8,1,2]=>0000000 [6,3,8,5,2,7,4,1]=>[1,4,7,2,5,8,3,6]=>1000000 [5,6,1,4,8,7,3,2]=>[2,3,7,8,4,1,6,5]=>0000000 [3,6,4,8,5,7,1,2]=>[2,1,7,5,8,4,6,3]=>0100000 [3,4,7,1,8,6,5,2]=>[2,5,6,8,1,7,4,3]=>0000000 [3,6,8,7,1,4,2,5]=>[5,2,4,1,7,8,6,3]=>0000000 [5,3,7,1,6,8,2,4]=>[4,2,8,6,1,7,3,5]=>0000000 [6,3,7,5,2,8,1,4]=>[4,1,8,2,5,7,3,6]=>0000000 [6,5,8,4,3,7,2,1]=>[1,2,7,3,4,8,5,6]=>1100000 [6,3,7,4,2,8,5,1]=>[1,5,8,2,4,7,3,6]=>1000000 [8,7,1,6,2,4,5,3]=>[3,5,4,2,6,1,7,8]=>0000011 [5,3,8,7,4,1,2,6]=>[6,2,1,4,7,8,3,5]=>0000000 [3,6,4,5,7,2,8,1]=>[1,8,2,7,5,4,6,3]=>1000000 [5,4,2,7,3,6,8,1]=>[1,8,6,3,7,2,4,5]=>1000000 [4,2,5,7,3,6,8,1]=>[1,8,6,3,7,5,2,4]=>1000000 [3,7,6,4,5,2,8,1]=>[1,8,2,5,4,6,7,3]=>1000000 [2,7,6,5,3,4,8,1]=>[1,8,4,3,5,6,7,2]=>1000000 [1,6,5,3,4,8,2,7]=>[7,2,8,4,3,5,6,1]=>0000000 [6,5,8,4,2,7,3,1]=>[1,3,7,2,4,8,5,6]=>1000000 [3,8,6,2,5,7,4,1]=>[1,4,7,5,2,6,8,3]=>1000000 [1,8,6,3,7,5,2,4]=>[4,2,5,7,3,6,8,1]=>0000000 [2,8,1,7,3,5,6,4]=>[4,6,5,3,7,1,8,2]=>0000000 [4,8,1,3,7,2,6,5]=>[5,6,2,7,3,1,8,4]=>0000000 [4,2,8,5,7,3,6,1]=>[1,6,3,7,5,8,2,4]=>1000000 [6,7,3,1,8,4,2,5]=>[5,2,4,8,1,3,7,6]=>0000000 [8,6,1,7,4,2,5,3]=>[3,5,2,4,7,1,6,8]=>0000001 [7,1,2,8,3,5,4,6]=>[6,4,5,3,8,2,1,7]=>0000000 [6,3,7,2,1,8,4,5]=>[5,4,8,1,2,7,3,6]=>0000000 [5,4,2,7,1,8,3,6]=>[6,3,8,1,7,2,4,5]=>0000000 [5,4,3,1,6,8,2,7]=>[7,2,8,6,1,3,4,5]=>0000000 [1,5,3,4,6,8,2,7]=>[7,2,8,6,4,3,5,1]=>0000000 [4,3,5,1,6,8,2,7]=>[7,2,8,6,1,5,3,4]=>0000000 [4,7,5,6,8,3,2,1]=>[1,2,3,8,6,5,7,4]=>1110000 [6,5,4,8,2,7,3,1]=>[1,3,7,2,8,4,5,6]=>1000000 [6,5,1,8,7,4,2,3]=>[3,2,4,7,8,1,5,6]=>0000000 [8,6,4,7,5,3,2,1]=>[1,2,3,5,7,4,6,8]=>1110001 [7,5,8,3,2,6,4,1]=>[1,4,6,2,3,8,5,7]=>1000000 [3,6,8,2,4,7,5,1]=>[1,5,7,4,2,8,6,3]=>1000000 [5,7,3,8,2,6,4,1]=>[1,4,6,2,8,3,7,5]=>1000000 [5,4,6,8,2,7,3,1]=>[1,3,7,2,8,6,4,5]=>1000000 [4,7,2,8,6,3,5,1]=>[1,5,3,6,8,2,7,4]=>1000000 [2,3,8,7,4,5,6,1]=>[1,6,5,4,7,8,3,2]=>1000000 [7,2,8,6,4,3,5,1]=>[1,5,3,4,6,8,2,7]=>1000000 [2,1,8,7,5,6,3,4]=>[4,3,6,5,7,8,1,2]=>0000000 [7,1,8,6,5,3,2,4]=>[4,2,3,5,6,8,1,7]=>0000000 [1,3,8,7,4,6,2,5]=>[5,2,6,4,7,8,3,1]=>0000000 [4,7,1,8,6,5,2,3]=>[3,2,5,6,8,1,7,4]=>0000000 [6,8,4,7,5,3,2,1]=>[1,2,3,5,7,4,8,6]=>1110000 [6,7,4,8,3,5,1,2]=>[2,1,5,3,8,4,7,6]=>0100000 [6,7,4,5,2,8,1,3]=>[3,1,8,2,5,4,7,6]=>0000000 [5,7,4,6,2,3,1,8]=>[8,1,3,2,6,4,7,5]=>0000000 [5,7,4,6,3,8,1,2]=>[2,1,8,3,6,4,7,5]=>0100000 [6,8,4,5,3,7,1,2]=>[2,1,7,3,5,4,8,6]=>0100000 [5,8,4,6,3,7,1,2]=>[2,1,7,3,6,4,8,5]=>0100000 [5,6,4,8,3,7,1,2]=>[2,1,7,3,8,4,6,5]=>0100000 [5,6,3,7,2,4,1,8]=>[8,1,4,2,7,3,6,5]=>0000000 [5,6,3,8,2,7,1,4]=>[4,1,7,2,8,3,6,5]=>0000000 [5,6,4,8,2,7,1,3]=>[3,1,7,2,8,4,6,5]=>0000000 [5,8,4,6,2,7,1,3]=>[3,1,7,2,6,4,8,5]=>0000000 [6,8,4,5,2,7,1,3]=>[3,1,7,2,5,4,8,6]=>0000000 [7,8,4,5,2,6,1,3]=>[3,1,6,2,5,4,8,7]=>0000010 [5,8,4,6,2,3,1,7]=>[7,1,3,2,6,4,8,5]=>0000000 [5,6,3,4,2,8,1,7]=>[7,1,8,2,4,3,6,5]=>0000000 [4,6,3,5,2,8,1,7]=>[7,1,8,2,5,3,6,4]=>0000000 [4,6,3,8,2,5,1,7]=>[7,1,5,2,8,3,6,4]=>0000000 [5,8,3,6,2,4,1,7]=>[7,1,4,2,6,3,8,5]=>0000000 [6,8,3,5,2,4,1,7]=>[7,1,4,2,5,3,8,6]=>0000000 [7,8,3,5,2,6,1,4]=>[4,1,6,2,5,3,8,7]=>0000010 [6,8,3,5,2,7,1,4]=>[4,1,7,2,5,3,8,6]=>0000000 [5,8,3,6,2,7,1,4]=>[4,1,7,2,6,3,8,5]=>0000000 [4,6,3,8,2,7,1,5]=>[5,1,7,2,8,3,6,4]=>0000000 [4,6,3,7,2,5,1,8]=>[8,1,5,2,7,3,6,4]=>0000000 [4,7,3,6,2,5,1,8]=>[8,1,5,2,6,3,7,4]=>0000000 [4,7,3,6,2,8,1,5]=>[5,1,8,2,6,3,7,4]=>0000000 [5,7,4,8,2,6,1,3]=>[3,1,6,2,8,4,7,5]=>0000000 [5,7,3,6,2,8,1,4]=>[4,1,8,2,6,3,7,5]=>0000000 [5,7,3,6,2,4,1,8]=>[8,1,4,2,6,3,7,5]=>0000000 [6,7,3,5,2,4,1,8]=>[8,1,4,2,5,3,7,6]=>0000000 [6,7,3,5,2,8,1,4]=>[4,1,8,2,5,3,7,6]=>0000000 [6,7,3,8,2,5,1,4]=>[4,1,5,2,8,3,7,6]=>0000000 [6,7,4,8,2,5,1,3]=>[3,1,5,2,8,4,7,6]=>0000000 [6,7,4,8,2,3,1,5]=>[5,1,3,2,8,4,7,6]=>0000000 [6,7,3,8,2,4,1,5]=>[5,1,4,2,8,3,7,6]=>0000000 [5,7,3,8,2,4,1,6]=>[6,1,4,2,8,3,7,5]=>0000000 [5,8,4,7,2,3,1,6]=>[6,1,3,2,7,4,8,5]=>0000000 [6,8,3,7,2,4,1,5]=>[5,1,4,2,7,3,8,6]=>0000000 [5,8,3,7,2,4,1,6]=>[6,1,4,2,7,3,8,5]=>0000000 [4,7,3,8,2,5,1,6]=>[6,1,5,2,8,3,7,4]=>0000000 [4,5,3,8,2,7,1,6]=>[6,1,7,2,8,3,5,4]=>0000000 [4,6,5,2,1,3,8,7]=>[7,8,3,1,2,5,6,4]=>0000000 [5,6,4,2,3,1,8,7]=>[7,8,1,3,2,4,6,5]=>0000000 [5,4,6,1,3,2,8,7]=>[7,8,2,3,1,6,4,5]=>0000000 [7,4,8,1,6,5,3,2]=>[2,3,5,6,1,8,4,7]=>0000000 [7,4,5,3,1,8,2,6]=>[6,2,8,1,3,5,4,7]=>0000000 [5,4,7,1,3,8,2,6]=>[6,2,8,3,1,7,4,5]=>0000000 [6,4,8,1,7,5,2,3]=>[3,2,5,7,1,8,4,6]=>0000000 [6,4,7,1,8,2,5,3]=>[3,5,2,8,1,7,4,6]=>0000000 [8,5,7,6,4,2,1,3]=>[3,1,2,4,6,7,5,8]=>0011001 [8,4,7,3,6,2,5,1]=>[1,5,2,6,3,7,4,8]=>1000001 [7,6,8,5,2,4,3,1]=>[1,3,4,2,5,8,6,7]=>1001100 [5,8,7,6,3,2,1,4]=>[4,1,2,3,6,7,8,5]=>0001000 [6,8,7,5,3,2,4,1]=>[1,4,2,3,5,7,8,6]=>1001100 [7,8,4,2,6,5,3,1]=>[1,3,5,6,2,4,8,7]=>1000010 [4,8,6,2,7,3,1,5]=>[5,1,3,7,2,6,8,4]=>0000000 [3,7,1,8,6,4,5,2]=>[2,5,4,6,8,1,7,3]=>0000000 [6,7,4,2,8,1,5,3]=>[3,5,1,8,2,4,7,6]=>0000000 [6,8,4,2,7,5,1,3]=>[3,1,5,7,2,4,8,6]=>0000000 [2,1,8,6,7,5,3,4]=>[4,3,5,7,6,8,1,2]=>0000000 [8,6,4,3,7,5,1,2]=>[2,1,5,7,3,4,6,8]=>0100001 [2,1,7,6,8,3,5,4]=>[4,5,3,8,6,7,1,2]=>0000000 [4,1,7,3,6,5,8,2]=>[2,8,5,6,3,7,1,4]=>0000000 [5,1,8,4,7,6,2,3]=>[3,2,6,7,4,8,1,5]=>0000000 [5,2,8,7,4,6,1,3]=>[3,1,6,4,7,8,2,5]=>0000000 [8,1,3,5,4,7,6,2]=>[2,6,7,4,5,3,1,8]=>0000001 [6,1,4,5,3,7,8,2]=>[2,8,7,3,5,4,1,6]=>0000000 [5,1,7,8,6,2,4,3]=>[3,4,2,6,8,7,1,5]=>0000000 [6,3,2,7,5,1,8,4]=>[4,8,1,5,7,2,3,6]=>0000000 [6,5,8,2,4,7,3,1]=>[1,3,7,4,2,8,5,6]=>1000000 [6,5,2,8,4,1,3,7]=>[7,3,1,4,8,2,5,6]=>0000000 [5,6,2,1,4,8,3,7]=>[7,3,8,4,1,2,6,5]=>0000000 [3,4,1,2,8,6,5,7]=>[7,5,6,8,2,1,4,3]=>0000000 [4,3,1,2,6,8,5,7]=>[7,5,8,6,2,1,3,4]=>0000000 [6,3,8,5,2,1,4,7]=>[7,4,1,2,5,8,3,6]=>0000000 [8,5,2,7,3,1,6,4]=>[4,6,1,3,7,2,5,8]=>0000001 [2,3,8,5,6,1,7,4]=>[4,7,1,6,5,8,3,2]=>0000000 [7,4,5,6,3,1,8,2]=>[2,8,1,3,6,5,4,7]=>0000000 [7,5,3,6,2,8,1,4]=>[4,1,8,2,6,3,5,7]=>0000000 [8,7,5,4,1,6,2,3]=>[3,2,6,1,4,5,7,8]=>0000011 [2,6,4,1,8,5,7,3]=>[3,7,5,8,1,4,6,2]=>0000000 [6,1,2,3,8,5,7,4]=>[4,7,5,8,3,2,1,6]=>0000000 [7,1,2,3,6,5,8,4]=>[4,8,5,6,3,2,1,7]=>0000000 [1,5,7,3,2,4,6,8]=>[8,6,4,2,3,7,5,1]=>0000000 [8,7,2,6,3,4,1,5]=>[5,1,4,3,6,2,7,8]=>0000011 [4,8,1,6,3,2,7,5]=>[5,7,2,3,6,1,8,4]=>0000000 [3,5,8,7,2,4,1,6]=>[6,1,4,2,7,8,5,3]=>0000000 [4,2,1,3,7,8,5,6]=>[6,5,8,7,3,1,2,4]=>0000000 [2,4,1,3,8,7,5,6]=>[6,5,7,8,3,1,4,2]=>0000000 [5,1,8,3,2,4,6,7]=>[7,6,4,2,3,8,1,5]=>0000000 [5,2,7,8,6,4,1,3]=>[3,1,4,6,8,7,2,5]=>0000000 [1,4,2,7,8,6,3,5]=>[5,3,6,8,7,2,4,1]=>0000000 [7,8,3,6,5,2,1,4]=>[4,1,2,5,6,3,8,7]=>0000010 [4,7,2,8,6,1,5,3]=>[3,5,1,6,8,2,7,4]=>0000000 [6,2,1,8,3,4,7,5]=>[5,7,4,3,8,1,2,6]=>0000000 [6,2,4,7,5,8,1,3]=>[3,1,8,5,7,4,2,6]=>0000000 [6,2,7,3,5,1,8,4]=>[4,8,1,5,3,7,2,6]=>0000000 [6,2,1,3,7,8,4,5]=>[5,4,8,7,3,1,2,6]=>0000000 [7,2,5,1,8,3,4,6]=>[6,4,3,8,1,5,2,7]=>0000000 [7,5,4,2,6,8,1,3]=>[3,1,8,6,2,4,5,7]=>0000000 [5,2,6,3,1,8,7,4]=>[4,7,8,1,3,6,2,5]=>0000000 [8,2,7,4,1,3,5,6]=>[6,5,3,1,4,7,2,8]=>0000001 [1,8,7,4,3,2,5,6]=>[6,5,2,3,4,7,8,1]=>0000000 [5,8,4,7,2,1,6,3]=>[3,6,1,2,7,4,8,5]=>0000000 [1,8,7,5,4,3,6,2]=>[2,6,3,4,5,7,8,1]=>0000000 [1,6,8,4,3,7,5,2]=>[2,5,7,3,4,8,6,1]=>0000000 [6,8,7,3,2,5,1,4]=>[4,1,5,2,3,7,8,6]=>0000100 [1,6,3,8,2,4,7,5]=>[5,7,4,2,8,3,6,1]=>0000000 [5,3,8,1,2,7,4,6]=>[6,4,7,2,1,8,3,5]=>0000000 [5,7,3,1,2,6,4,8]=>[8,4,6,2,1,3,7,5]=>0000000 [1,7,5,4,2,6,3,8]=>[8,3,6,2,4,5,7,1]=>0000000 [1,4,6,2,8,3,7,5]=>[5,7,3,8,2,6,4,1]=>0000000 [5,2,6,7,8,4,1,3]=>[3,1,4,8,7,6,2,5]=>0000000 [6,7,3,8,5,2,1,4]=>[4,1,2,5,8,3,7,6]=>0000000 [4,6,2,7,8,1,5,3]=>[3,5,1,8,7,2,6,4]=>0000000 [1,6,4,7,8,3,5,2]=>[2,5,3,8,7,4,6,1]=>0000000 [4,5,7,2,1,8,6,3]=>[3,6,8,1,2,7,5,4]=>0000000 [7,8,3,4,2,1,6,5]=>[5,6,1,2,4,3,8,7]=>0000010 [4,2,5,6,7,8,1,3]=>[3,1,8,7,6,5,2,4]=>0000000 [5,2,3,6,7,1,8,4]=>[4,8,1,7,6,3,2,5]=>0000000 [6,2,3,4,1,7,8,5]=>[5,8,7,1,4,3,2,6]=>0000000 [10,9,8,7,6,1,2,3,4,5]=>[5,4,3,2,1,6,7,8,9,10]=>000011111 [5,6,3,4,1,2,8,7]=>[7,8,2,1,4,3,6,5]=>0000000 [6,8,3,7,5,1,4,2]=>[2,4,1,5,7,3,8,6]=>0000000 [2,1,7,8,5,6,3,4]=>[4,3,6,5,8,7,1,2]=>0000000 [5,7,3,8,1,6,2,4]=>[4,2,6,1,8,3,7,5]=>0000000 [7,5,8,4,2,6,1,3]=>[3,1,6,2,4,8,5,7]=>0000000 [8,6,3,7,5,2,4,1]=>[1,4,2,5,7,3,6,8]=>1000001 [8,5,3,7,2,6,4,1]=>[1,4,6,2,7,3,5,8]=>1000001 [8,5,7,4,2,6,3,1]=>[1,3,6,2,4,7,5,8]=>1000001 [6,8,1,7,4,5,2,3]=>[3,2,5,4,7,1,8,6]=>0000000 [7,8,1,6,3,5,2,4]=>[4,2,5,3,6,1,8,7]=>0000010 [6,8,2,7,3,5,1,4]=>[4,1,5,3,7,2,8,6]=>0000000 [6,8,3,7,4,5,1,2]=>[2,1,5,4,7,3,8,6]=>0100000 [3,8,6,7,4,5,1,2]=>[2,1,5,4,7,6,8,3]=>0100000 [2,8,1,7,5,6,3,4]=>[4,3,6,5,7,1,8,2]=>0000000 [2,8,5,7,3,6,1,4]=>[4,1,6,3,7,5,8,2]=>0000000 [5,8,3,7,4,6,1,2]=>[2,1,6,4,7,3,8,5]=>0100000 [5,8,2,7,4,6,1,3]=>[3,1,6,4,7,2,8,5]=>0000000 [5,8,2,7,3,6,1,4]=>[4,1,6,3,7,2,8,5]=>0000000 [4,8,1,7,3,6,2,5]=>[5,2,6,3,7,1,8,4]=>0000000 [5,8,1,7,3,6,2,4]=>[4,2,6,3,7,1,8,5]=>0000000 [5,8,1,7,4,6,2,3]=>[3,2,6,4,7,1,8,5]=>0000000 [5,8,4,7,1,6,2,3]=>[3,2,6,1,7,4,8,5]=>0000000 [5,8,6,7,2,4,1,3]=>[3,1,4,2,7,6,8,5]=>0001000 [4,8,5,7,1,6,2,3]=>[3,2,6,1,7,5,8,4]=>0000000 [3,8,5,7,1,6,2,4]=>[4,2,6,1,7,5,8,3]=>0000000 [3,8,5,7,2,6,1,4]=>[4,1,6,2,7,5,8,3]=>0000000 [3,8,1,7,2,6,4,5]=>[5,4,6,2,7,1,8,3]=>0000000 [4,8,2,7,5,6,1,3]=>[3,1,6,5,7,2,8,4]=>0000000 [2,8,3,7,5,6,1,4]=>[4,1,6,5,7,3,8,2]=>0000000 [7,5,2,8,6,4,1,3]=>[3,1,4,6,8,2,5,7]=>0000000 [7,5,1,8,6,2,3,4]=>[4,3,2,6,8,1,5,7]=>0000000 [7,4,8,6,1,5,2,3]=>[3,2,5,1,6,8,4,7]=>0000000 [7,1,8,4,5,2,6,3]=>[3,6,2,5,4,8,1,7]=>0000000 [6,8,1,7,4,2,5,3]=>[3,5,2,4,7,1,8,6]=>0000000 [1,6,7,4,2,8,5,3]=>[3,5,8,2,4,7,6,1]=>0000000 [7,1,8,3,5,6,2,4]=>[4,2,6,5,3,8,1,7]=>0000000 [7,3,8,6,2,5,1,4]=>[4,1,5,2,6,8,3,7]=>0000000 [7,4,2,8,6,1,3,5]=>[5,3,1,6,8,2,4,7]=>0000000 [7,3,1,8,4,2,5,6]=>[6,5,2,4,8,1,3,7]=>0000000 [6,8,1,7,2,3,4,5]=>[5,4,3,2,7,1,8,6]=>0000000 [1,5,7,8,2,6,3,4]=>[4,3,6,2,8,7,5,1]=>0000000 [6,2,3,8,5,7,4,1]=>[1,4,7,5,8,3,2,6]=>1000000 [2,4,7,3,6,8,5,1]=>[1,5,8,6,3,7,4,2]=>1000000 [3,1,5,4,7,8,2,6]=>[6,2,8,7,4,5,1,3]=>0000000 [4,8,2,3,5,7,1,6]=>[6,1,7,5,3,2,8,4]=>0000000 [5,3,8,2,4,7,1,6]=>[6,1,7,4,2,8,3,5]=>0000000 [5,4,3,8,1,2,7,6]=>[6,7,2,1,8,3,4,5]=>0000000 [6,4,3,1,2,8,5,7]=>[7,5,8,2,1,3,4,6]=>0000000 [6,4,2,8,1,3,7,5]=>[5,7,3,1,8,2,4,6]=>0000000 [6,3,8,2,5,1,7,4]=>[4,7,1,5,2,8,3,6]=>0000000 [1,5,7,3,6,8,4,2]=>[2,4,8,6,3,7,5,1]=>0000000 [6,5,1,2,8,7,3,4]=>[4,3,7,8,2,1,5,6]=>0000000 [6,5,3,1,4,2,8,7]=>[7,8,2,4,1,3,5,6]=>0000000 [5,3,1,6,4,2,7,8]=>[8,7,2,4,6,1,3,5]=>0000000 [5,2,6,4,1,7,3,8]=>[8,3,7,1,4,6,2,5]=>0000000 [4,6,1,7,5,2,8,3]=>[3,8,2,5,7,1,6,4]=>0000000 [4,3,1,5,7,2,6,8]=>[8,6,2,7,5,1,3,4]=>0000000 [3,4,7,2,8,6,1,5]=>[5,1,6,8,2,7,4,3]=>0000000 [3,4,5,8,2,7,1,6]=>[6,1,7,2,8,5,4,3]=>0000000 [3,5,2,6,8,1,7,4]=>[4,7,1,8,6,2,5,3]=>0000000 [5,3,6,8,4,7,2,1]=>[1,2,7,4,8,6,3,5]=>1100000 [3,7,2,5,4,8,6,1]=>[1,6,8,4,5,2,7,3]=>1000000 [4,7,2,5,8,3,6,1]=>[1,6,3,8,5,2,7,4]=>1000000 [4,2,6,5,8,3,7,1]=>[1,7,3,8,5,6,2,4]=>1000000 [6,7,8,1,4,3,2,5]=>[5,2,3,4,1,8,7,6]=>0000100 [4,7,1,5,8,3,2,6]=>[6,2,3,8,5,1,7,4]=>0000000 [2,7,1,5,4,3,8,6]=>[6,8,3,4,5,1,7,2]=>0000000 [8,2,1,5,4,3,7,6]=>[6,7,3,4,5,1,2,8]=>0000001 [8,3,1,5,4,7,2,6]=>[6,2,7,4,5,1,3,8]=>0000001 [8,4,1,5,7,3,2,6]=>[6,2,3,7,5,1,4,8]=>0000001 [8,2,6,1,4,3,7,5]=>[5,7,3,4,1,6,2,8]=>0000001 [3,7,6,1,4,8,2,5]=>[5,2,8,4,1,6,7,3]=>0000000 [6,7,8,2,4,3,5,1]=>[1,5,3,4,2,8,7,6]=>1000100 [4,7,6,2,8,3,5,1]=>[1,5,3,8,2,6,7,4]=>1000000 [3,7,6,2,4,8,5,1]=>[1,5,8,4,2,6,7,3]=>1000000 [5,7,3,8,4,6,2,1]=>[1,2,6,4,8,3,7,5]=>1100000 [4,7,3,5,8,6,2,1]=>[1,2,6,8,5,3,7,4]=>1100000 [8,7,2,1,4,3,6,5]=>[5,6,3,4,1,2,7,8]=>0000011 [8,7,3,1,4,6,2,5]=>[5,2,6,4,1,3,7,8]=>0000011 [8,7,6,3,2,5,4,1]=>[1,4,5,2,3,6,7,8]=>1000111 [8,7,3,5,1,6,2,4]=>[4,2,6,1,5,3,7,8]=>0000011 [8,7,2,5,1,3,6,4]=>[4,6,3,1,5,2,7,8]=>0000011 [8,4,6,5,7,1,2,3]=>[3,2,1,7,5,6,4,8]=>0010001 [5,7,6,8,4,1,2,3]=>[3,2,1,4,8,6,7,5]=>0011000 [4,7,6,5,8,1,2,3]=>[3,2,1,8,5,6,7,4]=>0010000 [3,7,6,5,1,8,2,4]=>[4,2,8,1,5,6,7,3]=>0000000 [8,7,6,5,2,1,4,3]=>[3,4,1,2,5,6,7,8]=>0001111 [5,6,4,3,8,7,1,2]=>[2,1,7,8,3,4,6,5]=>0100000 [3,4,7,2,8,1,6,5]=>[5,6,1,8,2,7,4,3]=>0000000 [1,4,7,2,5,8,6,3]=>[3,6,8,5,2,7,4,1]=>0000000 [7,3,8,4,5,6,1,2]=>[2,1,6,5,4,8,3,7]=>0100000 [4,6,8,5,3,7,1,2]=>[2,1,7,3,5,8,6,4]=>0100000 [6,5,2,1,4,7,8,3]=>[3,8,7,4,1,2,5,6]=>0000000 [7,8,1,4,2,6,5,3]=>[3,5,6,2,4,1,8,7]=>0000010 [7,6,1,8,3,2,4,5]=>[5,4,2,3,8,1,6,7]=>0000000 [4,2,6,1,8,5,7,3]=>[3,7,5,8,1,6,2,4]=>0000000 [1,6,3,8,5,7,2,4]=>[4,2,7,5,8,3,6,1]=>0000000 [1,6,4,3,7,2,8,5]=>[5,8,2,7,3,4,6,1]=>0000000 [4,6,3,8,1,2,7,5]=>[5,7,2,1,8,3,6,4]=>0000000 [7,8,1,3,4,2,6,5]=>[5,6,2,4,3,1,8,7]=>0000010 [7,5,8,4,1,2,3,6]=>[6,3,2,1,4,8,5,7]=>0000000 [3,4,7,2,5,1,6,8]=>[8,6,1,5,2,7,4,3]=>0000000 [3,6,2,4,7,1,5,8]=>[8,5,1,7,4,2,6,3]=>0000000 [4,5,6,3,8,7,1,2]=>[2,1,7,8,3,6,5,4]=>0100000 [3,2,7,6,5,1,4,8]=>[8,4,1,5,6,7,2,3]=>0000000 [4,3,6,2,5,1,8,7]=>[7,8,1,5,2,6,3,4]=>0000000 [7,8,3,2,5,1,4,6]=>[6,4,1,5,2,3,8,7]=>0000010 [7,8,1,2,5,6,3,4]=>[4,3,6,5,2,1,8,7]=>0000010 [2,1,8,6,4,7,3,5]=>[5,3,7,4,6,8,1,2]=>0000000 [1,8,3,6,7,4,5,2]=>[2,5,4,7,6,3,8,1]=>0000000 [7,1,5,8,3,6,2,4]=>[4,2,6,3,8,5,1,7]=>0000000 [1,5,7,8,2,4,6,3]=>[3,6,4,2,8,7,5,1]=>0000000 [7,6,5,1,4,3,2,8]=>[8,2,3,4,1,5,6,7]=>0000000 [2,6,4,5,1,3,8,7]=>[7,8,3,1,5,4,6,2]=>0000000 [3,5,6,4,1,8,2,7]=>[7,2,8,1,4,6,5,3]=>0000000 [4,2,6,3,8,1,7,5]=>[5,7,1,8,3,6,2,4]=>0000000 [5,8,7,6,3,1,2,4]=>[4,2,1,3,6,7,8,5]=>0001000 [5,2,7,1,8,4,6,3]=>[3,6,4,8,1,7,2,5]=>0000000 [4,2,1,3,6,5,8,7]=>[7,8,5,6,3,1,2,4]=>0000000 [7,8,2,1,4,5,3,6]=>[6,3,5,4,1,2,8,7]=>0000010 [6,5,1,8,2,7,4,3]=>[3,4,7,2,8,1,5,6]=>0000000 [7,6,1,8,5,3,2,4]=>[4,2,3,5,8,1,6,7]=>0000000 [7,8,5,1,6,4,2,3]=>[3,2,4,6,1,5,8,7]=>0000010 [2,6,5,7,3,4,8,1]=>[1,8,4,3,7,5,6,2]=>1000000 [1,6,4,7,5,8,2,3]=>[3,2,8,5,7,4,6,1]=>0000000 [1,3,7,4,6,8,2,5]=>[5,2,8,6,4,7,3,1]=>0000000 [5,2,4,7,3,6,8,1]=>[1,8,6,3,7,4,2,5]=>1000000 [7,1,6,5,8,3,2,4]=>[4,2,3,8,5,6,1,7]=>0000000 [1,2,7,6,8,3,4,5]=>[5,4,3,8,6,7,2,1]=>0000000 [6,1,7,5,3,8,2,4]=>[4,2,8,3,5,7,1,6]=>0000000 [4,8,5,6,2,7,3,1]=>[1,3,7,2,6,5,8,4]=>1000000 [3,8,6,4,2,7,5,1]=>[1,5,7,2,4,6,8,3]=>1000000 [7,8,5,2,4,6,3,1]=>[1,3,6,4,2,5,8,7]=>1000010 [7,8,1,6,2,4,5,3]=>[3,5,4,2,6,1,8,7]=>0000010 [2,8,1,7,4,3,6,5]=>[5,6,3,4,7,1,8,2]=>0000000 [6,8,1,4,7,2,5,3]=>[3,5,2,7,4,1,8,6]=>0000000 [3,8,4,1,7,2,6,5]=>[5,6,2,7,1,4,8,3]=>0000000 [3,7,4,1,8,5,2,6]=>[6,2,5,8,1,4,7,3]=>0000000 [6,7,1,4,8,3,2,5]=>[5,2,3,8,4,1,7,6]=>0000000 [6,1,2,8,4,3,5,7]=>[7,5,3,4,8,2,1,6]=>0000000 [5,1,2,4,8,3,6,7]=>[7,6,3,8,4,2,1,5]=>0000000 [4,1,3,2,8,5,6,7]=>[7,6,5,8,2,3,1,4]=>0000000 [3,2,1,4,8,5,6,7]=>[7,6,5,8,4,1,2,3]=>0000000 [4,3,6,1,5,8,2,7]=>[7,2,8,5,1,6,3,4]=>0000000 [2,6,1,4,5,8,3,7]=>[7,3,8,5,4,1,6,2]=>0000000 [1,6,2,5,8,3,4,7]=>[7,4,3,8,5,2,6,1]=>0000000 [8,4,2,1,7,3,6,5]=>[5,6,3,7,1,2,4,8]=>0000001 [6,4,3,1,5,8,2,7]=>[7,2,8,5,1,3,4,6]=>0000000 [5,4,3,2,1,8,6,7]=>[7,6,8,1,2,3,4,5]=>0000000 [2,5,3,4,1,8,6,7]=>[7,6,8,1,4,3,5,2]=>0000000 [4,3,5,2,1,8,6,7]=>[7,6,8,1,2,5,3,4]=>0000000 [3,7,6,8,4,5,2,1]=>[1,2,5,4,8,6,7,3]=>1100000 [2,4,8,6,7,3,5,1]=>[1,5,3,7,6,8,4,2]=>1000000 [7,3,8,5,4,6,2,1]=>[1,2,6,4,5,8,3,7]=>1100000 [6,3,5,8,4,7,2,1]=>[1,2,7,4,8,5,3,6]=>1100000 [5,4,3,8,6,7,2,1]=>[1,2,7,6,8,3,4,5]=>1100000 [5,4,2,8,7,3,6,1]=>[1,6,3,7,8,2,4,5]=>1000000 [3,2,8,5,7,4,6,1]=>[1,6,4,7,5,8,2,3]=>1000000 [2,1,8,7,4,6,3,5]=>[5,3,6,4,7,8,1,2]=>0000000 [5,4,1,8,7,6,2,3]=>[3,2,6,7,8,1,4,5]=>0000000 [5,8,6,7,4,3,2,1]=>[1,2,3,4,7,6,8,5]=>1111000 [4,8,7,5,6,3,2,1]=>[1,2,3,6,5,7,8,4]=>1110000 [6,2,4,1,3,8,5,7]=>[7,5,8,3,1,4,2,6]=>0000000 [4,2,6,1,3,5,8,7]=>[7,8,5,3,1,6,2,4]=>0000000 [2,1,6,4,3,5,8,7]=>[7,8,5,3,4,6,1,2]=>0000000 [8,4,2,1,6,3,5,7]=>[7,5,3,6,1,2,4,8]=>0000001 [6,4,2,1,8,3,5,7]=>[7,5,3,8,1,2,4,6]=>0000000 [4,6,2,1,3,8,5,7]=>[7,5,8,3,1,2,6,4]=>0000000 [2,8,1,4,3,6,5,7]=>[7,5,6,3,4,1,8,2]=>0000000 [2,8,1,4,6,3,5,7]=>[7,5,3,6,4,1,8,2]=>0000000 [2,1,6,4,8,3,5,7]=>[7,5,3,8,4,6,1,2]=>0000000 [2,6,1,4,8,3,5,7]=>[7,5,3,8,4,1,6,2]=>0000000 [2,6,4,1,8,3,5,7]=>[7,5,3,8,1,4,6,2]=>0000000 [2,6,4,8,1,3,5,7]=>[7,5,3,1,8,4,6,2]=>0000000 [4,6,2,8,1,3,5,7]=>[7,5,3,1,8,2,6,4]=>0000000 [6,2,4,1,8,3,5,7]=>[7,5,3,8,1,4,2,6]=>0000000 [4,2,1,6,8,3,5,7]=>[7,5,3,8,6,1,2,4]=>0000000 [4,2,1,3,6,8,5,7]=>[7,5,8,6,3,1,2,4]=>0000000 [2,1,4,3,8,6,5,7]=>[7,5,6,8,3,4,1,2]=>0000000 [2,4,1,3,8,6,5,7]=>[7,5,6,8,3,1,4,2]=>0000000 [4,2,1,3,8,6,5,7]=>[7,5,6,8,3,1,2,4]=>0000000 [4,2,1,8,3,6,5,7]=>[7,5,6,3,8,1,2,4]=>0000000 [2,4,8,1,3,6,5,7]=>[7,5,6,3,1,8,4,2]=>0000000 [2,4,8,1,6,3,5,7]=>[7,5,3,6,1,8,4,2]=>0000000 [2,8,6,1,4,3,5,7]=>[7,5,3,4,1,6,8,2]=>0000000 [3,2,6,1,5,4,8,7]=>[7,8,4,5,1,6,2,3]=>0000000 [5,2,4,3,8,1,7,6]=>[6,7,1,8,3,4,2,5]=>0000000 [6,1,5,2,4,3,8,7]=>[7,8,3,4,2,5,1,6]=>0000000 [6,1,3,2,5,4,8,7]=>[7,8,4,5,2,3,1,6]=>0000000 [4,3,6,1,5,2,8,7]=>[7,8,2,5,1,6,3,4]=>0000000 [4,3,5,2,8,1,7,6]=>[6,7,1,8,2,5,3,4]=>0000000 [4,3,7,2,6,5,8,1]=>[1,8,5,6,2,7,3,4]=>1000000 [4,3,8,1,7,2,6,5]=>[5,6,2,7,1,8,3,4]=>0000000 [4,3,8,1,5,2,7,6]=>[6,7,2,5,1,8,3,4]=>0000000 [5,4,8,1,3,2,7,6]=>[6,7,2,3,1,8,4,5]=>0000000 [2,1,5,4,8,3,7,6]=>[6,7,3,8,4,5,1,2]=>0000000 [5,4,7,6,8,1,3,2]=>[2,3,1,8,6,7,4,5]=>0010000 [4,3,7,6,8,1,5,2]=>[2,5,1,8,6,7,3,4]=>0000000 [4,3,7,1,8,5,6,2]=>[2,6,5,8,1,7,3,4]=>0000000 [4,3,6,5,8,1,7,2]=>[2,7,1,8,5,6,3,4]=>0000000 [6,3,5,4,8,1,7,2]=>[2,7,1,8,4,5,3,6]=>0000000 [7,1,6,5,8,3,4,2]=>[2,4,3,8,5,6,1,7]=>0000000 [7,4,6,5,8,1,3,2]=>[2,3,1,8,5,6,4,7]=>0010000 [8,3,5,2,6,1,7,4]=>[4,7,1,6,2,5,3,8]=>0000001 [7,3,5,2,6,4,8,1]=>[1,8,4,6,2,5,3,7]=>1000000 [8,2,7,1,5,3,6,4]=>[4,6,3,5,1,7,2,8]=>0000001 [8,1,7,2,4,3,6,5]=>[5,6,3,4,2,7,1,8]=>0000001 [8,1,3,2,7,4,6,5]=>[5,6,4,7,2,3,1,8]=>0000001 [2,1,8,3,7,4,6,5]=>[5,6,4,7,3,8,1,2]=>0000000 [2,1,8,3,5,4,7,6]=>[6,7,4,5,3,8,1,2]=>0000000 [8,1,3,2,5,4,7,6]=>[6,7,4,5,2,3,1,8]=>0000001 [8,1,5,2,4,3,7,6]=>[6,7,3,4,2,5,1,8]=>0000001 [8,2,4,1,7,3,6,5]=>[5,6,3,7,1,4,2,8]=>0000001 [3,2,8,1,5,4,7,6]=>[6,7,4,5,1,8,2,3]=>0000000 [3,2,4,1,8,5,7,6]=>[6,7,5,8,1,4,2,3]=>0000000 [4,1,3,2,7,6,8,5]=>[5,8,6,7,2,3,1,4]=>0000000 [3,2,7,6,8,1,5,4]=>[4,5,1,8,6,7,2,3]=>0000000 [3,2,6,5,8,1,7,4]=>[4,7,1,8,5,6,2,3]=>0000000 [7,2,4,1,8,5,6,3]=>[3,6,5,8,1,4,2,7]=>0000000 [7,6,8,1,3,2,5,4]=>[4,5,2,3,1,8,6,7]=>0000100 [7,1,8,5,6,2,4,3]=>[3,4,2,6,5,8,1,7]=>0000000 [7,1,8,2,6,4,5,3]=>[3,5,4,6,2,8,1,7]=>0000000 [7,2,8,1,5,4,6,3]=>[3,6,4,5,1,8,2,7]=>0000000 [5,4,8,2,6,1,7,3]=>[3,7,1,6,2,8,4,5]=>0000000 [6,1,8,4,7,2,5,3]=>[3,5,2,7,4,8,1,6]=>0000000 [6,5,8,1,3,2,7,4]=>[4,7,2,3,1,8,5,6]=>0000000 [2,1,6,5,8,3,7,4]=>[4,7,3,8,5,6,1,2]=>0000000 [3,2,1,5,8,4,6,7]=>[7,6,4,8,5,1,2,3]=>0000000 [2,8,3,1,5,4,6,7]=>[7,6,4,5,1,3,8,2]=>0000000 [2,4,8,3,5,7,6,1]=>[1,6,7,5,3,8,4,2]=>1000000 [1,8,4,2,5,3,6,7]=>[7,6,3,5,2,4,8,1]=>0000000 [8,1,5,3,2,4,6,7]=>[7,6,4,2,3,5,1,8]=>0000001 [3,8,1,5,2,4,6,7]=>[7,6,4,2,5,1,8,3]=>0000000 [1,4,3,8,7,5,6,2]=>[2,6,5,7,8,3,4,1]=>0000000 [7,1,6,8,4,3,2,5]=>[5,2,3,4,8,6,1,7]=>0000000 [1,6,7,2,8,4,3,5]=>[5,3,4,8,2,7,6,1]=>0000000 [6,7,1,4,2,8,3,5]=>[5,3,8,2,4,1,7,6]=>0000000 [6,3,7,1,4,8,2,5]=>[5,2,8,4,1,7,3,6]=>0000000 [3,7,8,1,5,2,4,6]=>[6,4,2,5,1,8,7,3]=>0000000 [7,1,2,8,5,3,4,6]=>[6,4,3,5,8,2,1,7]=>0000000 [1,7,2,8,4,5,3,6]=>[6,3,5,4,8,2,7,1]=>0000000 [2,6,8,4,3,7,5,1]=>[1,5,7,3,4,8,6,2]=>1000000 [6,2,4,8,3,7,5,1]=>[1,5,7,3,8,4,2,6]=>1000000 [2,6,7,3,1,4,8,5]=>[5,8,4,1,3,7,6,2]=>0000000 [2,7,1,8,3,5,4,6]=>[6,4,5,3,8,1,7,2]=>0000000 [2,1,7,3,5,8,4,6]=>[6,4,8,5,3,7,1,2]=>0000000 [1,2,7,5,8,3,4,6]=>[6,4,3,8,5,7,2,1]=>0000000 [8,7,1,3,6,2,4,5]=>[5,4,2,6,3,1,7,8]=>0000011 [8,2,1,7,3,5,6,4]=>[4,6,5,3,7,1,2,8]=>0000001 [2,8,4,1,6,7,5,3]=>[3,5,7,6,1,4,8,2]=>0000000 [2,1,8,4,7,5,6,3]=>[3,6,5,7,4,8,1,2]=>0000000 [8,3,7,1,5,6,2,4]=>[4,2,6,5,1,7,3,8]=>0000001 [8,6,1,2,7,5,3,4]=>[4,3,5,7,2,1,6,8]=>0000001 [8,1,6,2,7,4,5,3]=>[3,5,4,7,2,6,1,8]=>0000001 [1,8,5,2,6,7,4,3]=>[3,4,7,6,2,5,8,1]=>0000000 [5,2,1,8,6,7,4,3]=>[3,4,7,6,8,1,2,5]=>0000000 [8,7,6,5,1,4,2,3]=>[3,2,4,1,5,6,7,8]=>0001111 [8,7,6,1,5,3,4,2]=>[2,4,3,5,1,6,7,8]=>0000111 [6,3,5,2,1,4,8,7]=>[7,8,4,1,2,5,3,6]=>0000000 [8,3,5,7,2,4,1,6]=>[6,1,4,2,7,5,3,8]=>0000001 [6,5,3,1,2,4,8,7]=>[7,8,4,2,1,3,5,6]=>0000000 [4,5,3,6,1,2,8,7]=>[7,8,2,1,6,3,5,4]=>0000000 [3,5,1,4,6,2,8,7]=>[7,8,2,6,4,1,5,3]=>0000000 [5,7,4,6,3,8,2,1]=>[1,2,8,3,6,4,7,5]=>1100000 [8,1,4,7,3,6,2,5]=>[5,2,6,3,7,4,1,8]=>0000001 [8,5,1,4,7,3,2,6]=>[6,2,3,7,4,1,5,8]=>0000001 [8,5,3,7,1,4,2,6]=>[6,2,4,1,7,3,5,8]=>0000001 [2,1,8,5,7,4,3,6]=>[6,3,4,7,5,8,1,2]=>0000000 [5,1,4,6,8,3,7,2]=>[2,7,3,8,6,4,1,5]=>0000000 [4,7,1,3,5,8,6,2]=>[2,6,8,5,3,1,7,4]=>0000000 [4,8,3,7,1,2,6,5]=>[5,6,2,1,7,3,8,4]=>0000000 [8,7,1,4,2,6,3,5]=>[5,3,6,2,4,1,7,8]=>0000011 [8,6,3,1,2,4,7,5]=>[5,7,4,2,1,3,6,8]=>0000001 [2,1,8,7,5,3,4,6]=>[6,4,3,5,7,8,1,2]=>0000000 [8,1,7,4,5,2,3,6]=>[6,3,2,5,4,7,1,8]=>0000001 [8,7,2,6,4,1,3,5]=>[5,3,1,4,6,2,7,8]=>0000011 [5,3,7,8,2,4,6,1]=>[1,6,4,2,8,7,3,5]=>1000000 [5,3,7,6,2,1,8,4]=>[4,8,1,2,6,7,3,5]=>0000000 [5,7,8,6,4,2,1,3]=>[3,1,2,4,6,8,7,5]=>0011000 [6,7,3,5,1,8,2,4]=>[4,2,8,1,5,3,7,6]=>0000000 [2,1,6,7,5,8,3,4]=>[4,3,8,5,7,6,1,2]=>0000000 [2,1,5,7,3,6,8,4]=>[4,8,6,3,7,5,1,2]=>0000000 [4,1,7,2,5,6,8,3]=>[3,8,6,5,2,7,1,4]=>0000000 [2,4,7,1,6,5,8,3]=>[3,8,5,6,1,7,4,2]=>0000000 [5,6,3,1,8,7,2,4]=>[4,2,7,8,1,3,6,5]=>0000000 [7,2,5,1,4,3,8,6]=>[6,8,3,4,1,5,2,7]=>0000000 [4,3,7,2,1,5,8,6]=>[6,8,5,1,2,7,3,4]=>0000000 [3,6,2,7,1,4,8,5]=>[5,8,4,1,7,2,6,3]=>0000000 [6,4,3,2,1,8,5,7]=>[7,5,8,1,2,3,4,6]=>0000000 [6,2,7,5,3,8,1,4]=>[4,1,8,3,5,7,2,6]=>0000000 [7,1,8,5,3,6,4,2]=>[2,4,6,3,5,8,1,7]=>0000000 [1,8,6,3,2,7,5,4]=>[4,5,7,2,3,6,8,1]=>0000000 [8,7,3,1,6,5,4,2]=>[2,4,5,6,1,3,7,8]=>0000011 [1,8,5,7,4,3,6,2]=>[2,6,3,4,7,5,8,1]=>0000000 [3,8,6,1,7,2,5,4]=>[4,5,2,7,1,6,8,3]=>0000000 [5,8,4,6,7,1,3,2]=>[2,3,1,7,6,4,8,5]=>0010000 [7,2,8,5,6,1,4,3]=>[3,4,1,6,5,8,2,7]=>0000000 [4,3,6,7,8,1,2,5]=>[5,2,1,8,7,6,3,4]=>0000000 [5,4,6,7,2,8,1,3]=>[3,1,8,2,7,6,4,5]=>0000000 [3,5,7,1,4,8,2,6]=>[6,2,8,4,1,7,5,3]=>0000000 [8,1,5,2,7,4,6,3]=>[3,6,4,7,2,5,1,8]=>0000001 [5,4,1,6,8,2,3,7]=>[7,3,2,8,6,1,4,5]=>0000000 [5,3,1,7,2,8,4,6]=>[6,4,8,2,7,1,3,5]=>0000000 [6,5,2,1,7,8,3,4]=>[4,3,8,7,1,2,5,6]=>0000000 [6,3,7,4,8,5,2,1]=>[1,2,5,8,4,7,3,6]=>1100000 [4,7,2,5,8,6,3,1]=>[1,3,6,8,5,2,7,4]=>1000000 [3,6,8,1,4,7,5,2]=>[2,5,7,4,1,8,6,3]=>0000000 [6,4,7,8,1,5,3,2]=>[2,3,5,1,8,7,4,6]=>0000000 [4,6,8,2,7,1,5,3]=>[3,5,1,7,2,8,6,4]=>0000000 [2,5,8,7,1,3,6,4]=>[4,6,3,1,7,8,5,2]=>0000000 [8,2,7,6,5,1,4,3]=>[3,4,1,5,6,7,2,8]=>0000001 [2,4,8,7,6,1,3,5]=>[5,3,1,6,7,8,4,2]=>0000000 [4,7,3,8,6,5,1,2]=>[2,1,5,6,8,3,7,4]=>0100000 [7,5,8,6,4,3,2,1]=>[1,2,3,4,6,8,5,7]=>1111000 [7,8,5,3,1,6,4,2]=>[2,4,6,1,3,5,8,7]=>0000010 [7,5,8,3,1,2,6,4]=>[4,6,2,1,3,8,5,7]=>0000000 [7,5,8,3,4,1,6,2]=>[2,6,1,4,3,8,5,7]=>0000000 [7,5,6,3,1,2,8,4]=>[4,8,2,1,3,6,5,7]=>0000000 [7,5,3,8,4,1,6,2]=>[2,6,1,4,8,3,5,7]=>0000000 [7,5,3,8,1,4,6,2]=>[2,6,4,1,8,3,5,7]=>0000000 [7,5,3,1,8,4,6,2]=>[2,6,4,8,1,3,5,7]=>0000000 [7,5,3,1,8,2,6,4]=>[4,6,2,8,1,3,5,7]=>0000000 [7,5,3,1,6,2,4,8]=>[8,4,2,6,1,3,5,7]=>0000000 [7,5,3,1,8,4,2,6]=>[6,2,4,8,1,3,5,7]=>0000000 [7,5,3,8,1,6,4,2]=>[2,4,6,1,8,3,5,7]=>0000000 [7,5,8,3,6,4,1,2]=>[2,1,4,6,3,8,5,7]=>0100000 [7,5,8,3,6,1,4,2]=>[2,4,1,6,3,8,5,7]=>0000000 [7,5,8,3,1,6,4,2]=>[2,4,6,1,3,8,5,7]=>0000000 [7,5,3,8,1,4,2,6]=>[6,2,4,1,8,3,5,7]=>0000000 [7,5,3,8,6,1,2,4]=>[4,2,1,6,8,3,5,7]=>0000000 [7,5,6,3,8,1,2,4]=>[4,2,1,8,3,6,5,7]=>0000000 [7,5,3,6,1,8,4,2]=>[2,4,8,1,6,3,5,7]=>0000000 [7,5,3,1,4,6,8,2]=>[2,8,6,4,1,3,5,7]=>0000000 [7,5,3,1,2,6,8,4]=>[4,8,6,2,1,3,5,7]=>0000000 [4,6,8,3,5,7,1,2]=>[2,1,7,5,3,8,6,4]=>0100000 [3,6,8,2,5,7,1,4]=>[4,1,7,5,2,8,6,3]=>0000000 [3,5,8,2,4,7,1,6]=>[6,1,7,4,2,8,5,3]=>0000000 [3,5,7,2,4,6,1,8]=>[8,1,6,4,2,7,5,3]=>0000000 [4,2,5,8,3,7,1,6]=>[6,1,7,3,8,5,2,4]=>0000000 [1,4,3,8,2,6,7,5]=>[5,7,6,2,8,3,4,1]=>0000000 [4,6,3,2,1,8,5,7]=>[7,5,8,1,2,3,6,4]=>0000000 [5,4,7,3,8,6,1,2]=>[2,1,6,8,3,7,4,5]=>0100000 [5,8,4,7,6,3,1,2]=>[2,1,3,6,7,4,8,5]=>0110000 [5,3,1,6,4,2,8,7]=>[7,8,2,4,6,1,3,5]=>0000000 [1,6,3,4,2,8,7,5]=>[5,7,8,2,4,3,6,1]=>0000000 [1,6,8,7,4,2,5,3]=>[3,5,2,4,7,8,6,1]=>0000000 [3,1,2,7,6,4,8,5]=>[5,8,4,6,7,2,1,3]=>0000000 [6,3,2,1,8,5,4,7]=>[7,4,5,8,1,2,3,6]=>0000000 [5,2,6,3,7,4,1,8]=>[8,1,4,7,3,6,2,5]=>0000000 [1,6,7,2,8,4,5,3]=>[3,5,4,8,2,7,6,1]=>0000000 [5,1,2,7,8,3,6,4]=>[4,6,3,8,7,2,1,5]=>0000000 [6,4,2,7,3,5,1,8]=>[8,1,5,3,7,2,4,6]=>0000000 [7,8,3,2,5,6,1,4]=>[4,1,6,5,2,3,8,7]=>0000010 [7,1,8,2,4,5,6,3]=>[3,6,5,4,2,8,1,7]=>0000000 [8,7,6,1,2,4,5,3]=>[3,5,4,2,1,6,7,8]=>0000111 [8,3,7,6,2,1,4,5]=>[5,4,1,2,6,7,3,8]=>0000001 [8,3,6,5,2,1,4,7]=>[7,4,1,2,5,6,3,8]=>0000001 [7,4,6,2,5,3,1,8]=>[8,1,3,5,2,6,4,7]=>0000000 [8,5,1,2,7,3,6,4]=>[4,6,3,7,2,1,5,8]=>0000001 [6,8,3,7,5,4,1,2]=>[2,1,4,5,7,3,8,6]=>0100000 [6,1,8,2,3,7,5,4]=>[4,5,7,3,2,8,1,6]=>0000000 [1,7,2,4,3,8,6,5]=>[5,6,8,3,4,2,7,1]=>0000000 [1,7,8,6,5,2,4,3]=>[3,4,2,5,6,8,7,1]=>0000000 [7,3,8,6,5,4,1,2]=>[2,1,4,5,6,8,3,7]=>0100000 [4,3,1,2,8,7,6,5]=>[5,6,7,8,2,1,3,4]=>0000000 [5,1,4,3,2,8,7,6]=>[6,7,8,2,3,4,1,5]=>0000000 [8,6,3,2,1,7,4,5]=>[5,4,7,1,2,3,6,8]=>0000001 [8,7,2,4,5,3,1,6]=>[6,1,3,5,4,2,7,8]=>0000011 [4,6,3,2,7,5,1,8]=>[8,1,5,7,2,3,6,4]=>0000000 [8,5,7,4,6,1,3,2]=>[2,3,1,6,4,7,5,8]=>0010001 [4,3,1,8,7,5,2,6]=>[6,2,5,7,8,1,3,4]=>0000000 [3,1,4,6,8,7,2,5]=>[5,2,7,8,6,4,1,3]=>0000000 [7,1,6,4,8,5,2,3]=>[3,2,5,8,4,6,1,7]=>0000000 [7,3,6,8,5,1,2,4]=>[4,2,1,5,8,6,3,7]=>0000000 [1,3,7,2,6,8,4,5]=>[5,4,8,6,2,7,3,1]=>0000000 [5,7,1,8,4,2,6,3]=>[3,6,2,4,8,1,7,5]=>0000000 [3,6,2,4,7,5,1,8]=>[8,1,5,7,4,2,6,3]=>0000000 [4,7,3,1,5,8,6,2]=>[2,6,8,5,1,3,7,4]=>0000000 [8,7,6,4,3,1,5,2]=>[2,5,1,3,4,6,7,8]=>0000111 [8,7,6,4,1,5,2,3]=>[3,2,5,1,4,6,7,8]=>0000111 [2,4,8,1,6,5,3,7]=>[7,3,5,6,1,8,4,2]=>0000000 [1,2,7,4,8,6,3,5]=>[5,3,6,8,4,7,2,1]=>0000000 [1,2,7,8,3,6,5,4]=>[4,5,6,3,8,7,2,1]=>0000000 [1,6,8,5,4,3,2,7]=>[7,2,3,4,5,8,6,1]=>0000000 [7,1,2,5,8,3,6,4]=>[4,6,3,8,5,2,1,7]=>0000000 [8,6,2,4,7,3,5,1]=>[1,5,3,7,4,2,6,8]=>1000001 [8,6,2,4,5,7,3,1]=>[1,3,7,5,4,2,6,8]=>1000001 [7,1,4,5,6,8,2,3]=>[3,2,8,6,5,4,1,7]=>0000000 [3,6,7,1,4,8,5,2]=>[2,5,8,4,1,7,6,3]=>0000000 [3,4,7,2,5,8,1,6]=>[6,1,8,5,2,7,4,3]=>0000000 [5,6,7,8,1,3,4,2]=>[2,4,3,1,8,7,6,5]=>0001000 [5,7,8,6,1,2,3,4]=>[4,3,2,1,6,8,7,5]=>0001000 [2,8,3,1,5,6,4,7]=>[7,4,6,5,1,3,8,2]=>0000000 [4,3,1,7,6,8,2,5]=>[5,2,8,6,7,1,3,4]=>0000000 [2,4,6,1,7,5,8,3]=>[3,8,5,7,1,6,4,2]=>0000000 [3,7,4,1,6,2,8,5]=>[5,8,2,6,1,4,7,3]=>0000000 [8,4,7,2,5,3,6,1]=>[1,6,3,5,2,7,4,8]=>1000001 [4,7,8,1,2,3,6,5]=>[5,6,3,2,1,8,7,4]=>0000000 [5,8,1,6,3,7,2,4]=>[4,2,7,3,6,1,8,5]=>0000000 [8,4,5,3,7,2,6,1]=>[1,6,2,7,3,5,4,8]=>1000001 [4,6,3,8,5,1,7,2]=>[2,7,1,5,8,3,6,4]=>0000000 [3,6,4,8,1,7,2,5]=>[5,2,7,1,8,4,6,3]=>0000000 [7,2,3,4,1,6,5,8]=>[8,5,6,1,4,3,2,7]=>0000000 [4,2,8,3,6,1,5,7]=>[7,5,1,6,3,8,2,4]=>0000000 [6,7,5,8,2,1,4,3]=>[3,4,1,2,8,5,7,6]=>0001000 [4,8,5,2,7,1,3,6]=>[6,3,1,7,2,5,8,4]=>0000000 [6,3,5,2,1,7,4,8]=>[8,4,7,1,2,5,3,6]=>0000000 [3,6,5,4,2,8,1,7]=>[7,1,8,2,4,5,6,3]=>0000000 [7,4,5,3,8,2,1,6]=>[6,1,2,8,3,5,4,7]=>0000000 [1,4,2,3,5,8,7,6]=>[6,7,8,5,3,2,4,1]=>0000000 [1,7,4,3,2,8,6,5]=>[5,6,8,2,3,4,7,1]=>0000000 [1,7,6,5,2,8,4,3]=>[3,4,8,2,5,6,7,1]=>0000000 [1,6,5,2,3,8,4,7]=>[7,4,8,3,2,5,6,1]=>0000000 [1,5,7,6,2,4,8,3]=>[3,8,4,2,6,7,5,1]=>0000000 [1,3,7,5,2,6,8,4]=>[4,8,6,2,5,7,3,1]=>0000000 [1,2,6,4,3,7,8,5]=>[5,8,7,3,4,6,2,1]=>0000000 [1,7,6,4,2,8,5,3]=>[3,5,8,2,4,6,7,1]=>0000000 [1,5,3,2,4,8,7,6]=>[6,7,8,4,2,3,5,1]=>0000000 [7,6,1,4,3,8,5,2]=>[2,5,8,3,4,1,6,7]=>0000000 [7,6,5,1,3,8,4,2]=>[2,4,8,3,1,5,6,7]=>0000000 [7,3,5,4,8,1,6,2]=>[2,6,1,8,4,5,3,7]=>0000000 [1,4,5,8,3,7,6,2]=>[2,6,7,3,8,5,4,1]=>0000000 [5,6,8,4,3,1,7,2]=>[2,7,1,3,4,8,6,5]=>0000000 [6,8,5,4,1,2,7,3]=>[3,7,2,1,4,5,8,6]=>0000000 [1,8,5,2,3,7,6,4]=>[4,6,7,3,2,5,8,1]=>0000000 [6,8,2,4,3,7,1,5]=>[5,1,7,3,4,2,8,6]=>0000000 [4,8,5,7,3,2,1,6]=>[6,1,2,3,7,5,8,4]=>0000000 [7,8,1,2,4,3,5,6]=>[6,5,3,4,2,1,8,7]=>0000010 [3,4,6,5,7,8,1,2]=>[2,1,8,7,5,6,4,3]=>0100000 [4,2,6,1,8,3,7,5]=>[5,7,3,8,1,6,2,4]=>0000000 [6,7,3,8,4,5,1,2]=>[2,1,5,4,8,3,7,6]=>0100000 [4,7,5,6,3,8,1,2]=>[2,1,8,3,6,5,7,4]=>0100000 [4,5,3,8,6,7,1,2]=>[2,1,7,6,8,3,5,4]=>0100000 [4,8,3,6,5,7,1,2]=>[2,1,7,5,6,3,8,4]=>0100000 [5,6,4,7,1,8,2,3]=>[3,2,8,1,7,4,6,5]=>0000000 [5,6,1,7,3,8,2,4]=>[4,2,8,3,7,1,6,5]=>0000000 [4,8,1,6,5,7,2,3]=>[3,2,7,5,6,1,8,4]=>0000000 [7,8,4,5,1,6,2,3]=>[3,2,6,1,5,4,8,7]=>0000010 [4,5,2,3,1,8,6,7]=>[7,6,8,1,3,2,5,4]=>0000000 [5,6,2,3,1,8,4,7]=>[7,4,8,1,3,2,6,5]=>0000000 [5,6,3,4,1,8,2,7]=>[7,2,8,1,4,3,6,5]=>0000000 [3,6,4,5,2,7,1,8]=>[8,1,7,2,5,4,6,3]=>0000000 [2,6,4,8,1,5,3,7]=>[7,3,5,1,8,4,6,2]=>0000000 [1,8,3,6,5,7,2,4]=>[4,2,7,5,6,3,8,1]=>0000000 [1,8,3,6,2,7,4,5]=>[5,4,7,2,6,3,8,1]=>0000000 [1,6,4,8,2,7,3,5]=>[5,3,7,2,8,4,6,1]=>0000000 [1,6,4,7,3,8,2,5]=>[5,2,8,3,7,4,6,1]=>0000000 [6,7,1,5,3,8,2,4]=>[4,2,8,3,5,1,7,6]=>0000000 [6,7,1,8,4,5,2,3]=>[3,2,5,4,8,1,7,6]=>0000000 [3,4,2,7,5,6,1,8]=>[8,1,6,5,7,2,4,3]=>0000000 [2,3,1,8,6,7,4,5]=>[5,4,7,6,8,1,3,2]=>0000000 [2,8,1,7,3,5,4,6]=>[6,4,5,3,7,1,8,2]=>0000000 [4,5,1,7,3,8,2,6]=>[6,2,8,3,7,1,5,4]=>0000000 [3,8,1,5,2,7,4,6]=>[6,4,7,2,5,1,8,3]=>0000000 [3,4,2,5,1,8,6,7]=>[7,6,8,1,5,2,4,3]=>0000000 [4,5,3,6,1,8,2,7]=>[7,2,8,1,6,3,5,4]=>0000000 [3,6,5,4,1,2,8,7]=>[7,8,2,1,4,5,6,3]=>0000000 [3,8,5,6,7,4,1,2]=>[2,1,4,7,6,5,8,3]=>0100000 [2,5,7,8,6,3,4,1]=>[1,4,3,6,8,7,5,2]=>1000000 [3,6,5,1,2,4,8,7]=>[7,8,4,2,1,5,6,3]=>0000000 [5,2,3,6,4,1,8,7]=>[7,8,1,4,6,3,2,5]=>0000000 [5,6,7,8,1,4,3,2]=>[2,3,4,1,8,7,6,5]=>0001000 [4,2,6,8,5,7,3,1]=>[1,3,7,5,8,6,2,4]=>1000000 [2,1,5,8,7,6,3,4]=>[4,3,6,7,8,5,1,2]=>0000000 [6,4,7,8,5,3,2,1]=>[1,2,3,5,8,7,4,6]=>1110000 [6,3,7,1,5,2,8,4]=>[4,8,2,5,1,7,3,6]=>0000000 [3,2,6,8,4,7,5,1]=>[1,5,7,4,8,6,2,3]=>1000000 [2,4,1,5,8,3,7,6]=>[6,7,3,8,5,1,4,2]=>0000000 [4,7,5,8,1,6,3,2]=>[2,3,6,1,8,5,7,4]=>0000000 [2,1,5,8,7,3,4,6]=>[6,4,3,7,8,5,1,2]=>0000000 [8,5,7,3,6,1,4,2]=>[2,4,1,6,3,7,5,8]=>0000001 [6,4,3,2,7,8,1,5]=>[5,1,8,7,2,3,4,6]=>0000000 [7,2,3,4,8,5,6,1]=>[1,6,5,8,4,3,2,7]=>1000000 [6,1,8,5,2,7,4,3]=>[3,4,7,2,5,8,1,6]=>0000000 [2,1,7,4,5,8,6,3]=>[3,6,8,5,4,7,1,2]=>0000000 [6,8,7,2,5,3,1,4]=>[4,1,3,5,2,7,8,6]=>0000100 [8,2,1,6,4,7,5,3]=>[3,5,7,4,6,1,2,8]=>0000001 [6,1,2,3,7,5,8,4]=>[4,8,5,7,3,2,1,6]=>0000000 [7,6,8,4,2,5,3,1]=>[1,3,5,2,4,8,6,7]=>1000100 [4,1,2,3,7,6,8,5]=>[5,8,6,7,3,2,1,4]=>0000000 [3,2,4,1,8,5,6,7]=>[7,6,5,8,1,4,2,3]=>0000000 [6,5,8,2,1,7,3,4]=>[4,3,7,1,2,8,5,6]=>0000000 [7,4,3,5,1,6,8,2]=>[2,8,6,1,5,3,4,7]=>0000000 [4,1,6,3,5,8,7,2]=>[2,7,8,5,3,6,1,4]=>0000000 [2,1,6,5,8,4,7,3]=>[3,7,4,8,5,6,1,2]=>0000000 [2,6,4,8,7,3,5,1]=>[1,5,3,7,8,4,6,2]=>1000000 [3,1,8,2,7,5,4,6]=>[6,4,5,7,2,8,1,3]=>0000000 [8,2,3,1,7,4,6,5]=>[5,6,4,7,1,3,2,8]=>0000001 [7,4,8,6,3,2,5,1]=>[1,5,2,3,6,8,4,7]=>1000000 [6,3,8,2,4,5,7,1]=>[1,7,5,4,2,8,3,6]=>1000000 [5,8,4,2,3,6,1,7]=>[7,1,6,3,2,4,8,5]=>0000000 [7,3,5,8,1,4,2,6]=>[6,2,4,1,8,5,3,7]=>0000000 [6,8,1,3,5,7,2,4]=>[4,2,7,5,3,1,8,6]=>0000000 [4,1,3,7,5,8,2,6]=>[6,2,8,5,7,3,1,4]=>0000000 [5,7,8,6,2,1,4,3]=>[3,4,1,2,6,8,7,5]=>0001000 [1,4,7,2,6,8,3,5]=>[5,3,8,6,2,7,4,1]=>0000000 [4,3,7,8,5,1,6,2]=>[2,6,1,5,8,7,3,4]=>0000000 [5,4,8,2,7,6,1,3]=>[3,1,6,7,2,8,4,5]=>0000000 [4,1,7,5,8,6,2,3]=>[3,2,6,8,5,7,1,4]=>0000000 [7,6,1,2,8,3,5,4]=>[4,5,3,8,2,1,6,7]=>0000000 [6,7,8,1,5,2,4,3]=>[3,4,2,5,1,8,7,6]=>0000100 [5,7,8,4,1,2,6,3]=>[3,6,2,1,4,8,7,5]=>0000000 [4,7,8,5,6,1,3,2]=>[2,3,1,6,5,8,7,4]=>0010000 [5,6,4,8,1,2,7,3]=>[3,7,2,1,8,4,6,5]=>0000000 [6,5,4,1,2,3,8,7]=>[7,8,3,2,1,4,5,6]=>0000000 [7,5,1,6,2,3,8,4]=>[4,8,3,2,6,1,5,7]=>0000000 [6,4,5,1,8,2,7,3]=>[3,7,2,8,1,5,4,6]=>0000000 [4,5,6,7,8,1,3,2]=>[2,3,1,8,7,6,5,4]=>0010000 [4,2,6,7,3,1,8,5]=>[5,8,1,3,7,6,2,4]=>0000000 [7,3,1,5,4,8,2,6]=>[6,2,8,4,5,1,3,7]=>0000000 [4,5,3,2,8,1,6,7]=>[7,6,1,8,2,3,5,4]=>0000000 [7,4,1,5,3,2,6,8]=>[8,6,2,3,5,1,4,7]=>0000000 [8,1,5,4,3,2,6,7]=>[7,6,2,3,4,5,1,8]=>0000001 [6,5,3,1,2,7,4,8]=>[8,4,7,2,1,3,5,6]=>0000000 [5,6,3,8,1,4,2,7]=>[7,2,4,1,8,3,6,5]=>0000000 [4,6,3,8,2,1,5,7]=>[7,5,1,2,8,3,6,4]=>0000000 [4,7,8,3,2,1,5,6]=>[6,5,1,2,3,8,7,4]=>0000000 [5,7,8,3,1,4,2,6]=>[6,2,4,1,3,8,7,5]=>0000000 [8,1,7,2,5,4,3,6]=>[6,3,4,5,2,7,1,8]=>0000001 [4,7,8,2,3,1,6,5]=>[5,6,1,3,2,8,7,4]=>0000000 [8,1,6,3,2,5,7,4]=>[4,7,5,2,3,6,1,8]=>0000001 [8,1,5,3,4,2,7,6]=>[6,7,2,4,3,5,1,8]=>0000001 [6,3,2,1,5,7,4,8]=>[8,4,7,5,1,2,3,6]=>0000000 [7,3,1,4,5,6,2,8]=>[8,2,6,5,4,1,3,7]=>0000000 [6,2,3,1,5,7,8,4]=>[4,8,7,5,1,3,2,6]=>0000000 [5,3,8,7,2,4,6,1]=>[1,6,4,2,7,8,3,5]=>1000000 [3,6,1,5,8,4,2,7]=>[7,2,4,8,5,1,6,3]=>0000000 [6,5,4,3,8,2,1,7]=>[7,1,2,8,3,4,5,6]=>0000000 [5,4,3,7,2,8,1,6]=>[6,1,8,2,7,3,4,5]=>0000000 [5,8,4,3,7,2,6,1]=>[1,6,2,7,3,4,8,5]=>1000000 [4,6,8,3,7,2,5,1]=>[1,5,2,7,3,8,6,4]=>1000000 [8,4,6,1,7,3,5,2]=>[2,5,3,7,1,6,4,8]=>0000001 [8,6,2,7,4,1,5,3]=>[3,5,1,4,7,2,6,8]=>0000001 [7,6,2,1,4,3,8,5]=>[5,8,3,4,1,2,6,7]=>0000000 [7,6,1,3,4,2,8,5]=>[5,8,2,4,3,1,6,7]=>0000000 [3,1,7,5,2,8,4,6]=>[6,4,8,2,5,7,1,3]=>0000000 [1,7,4,5,2,8,3,6]=>[6,3,8,2,5,4,7,1]=>0000000 [4,2,7,6,3,8,1,5]=>[5,1,8,3,6,7,2,4]=>0000000 [3,2,6,8,7,4,5,1]=>[1,5,4,7,8,6,2,3]=>1000000 [5,7,3,8,2,1,4,6]=>[6,4,1,2,8,3,7,5]=>0000000 [8,4,2,1,3,7,6,5]=>[5,6,7,3,1,2,4,8]=>0000001 [8,4,3,7,6,2,1,5]=>[5,1,2,6,7,3,4,8]=>0000001 [5,8,4,2,7,1,6,3]=>[3,6,1,7,2,4,8,5]=>0000000 [8,5,3,1,7,2,6,4]=>[4,6,2,7,1,3,5,8]=>0000001 [1,4,6,8,2,7,5,3]=>[3,5,7,2,8,6,4,1]=>0000000 [8,2,1,7,6,5,4,3]=>[3,4,5,6,7,1,2,8]=>0000001 [8,1,4,7,6,5,3,2]=>[2,3,5,6,7,4,1,8]=>0000001 [5,8,3,6,2,1,4,7]=>[7,4,1,2,6,3,8,5]=>0000000 [6,4,3,7,2,1,8,5]=>[5,8,1,2,7,3,4,6]=>0000000 [4,8,3,6,2,1,7,5]=>[5,7,1,2,6,3,8,4]=>0000000 [5,3,7,6,2,1,4,8]=>[8,4,1,2,6,7,3,5]=>0000000 [3,8,7,6,2,1,4,5]=>[5,4,1,2,6,7,8,3]=>0000000 [5,8,4,2,6,1,3,7]=>[7,3,1,6,2,4,8,5]=>0000000 [4,8,7,2,5,1,3,6]=>[6,3,1,5,2,7,8,4]=>0000000 [5,8,3,2,6,1,4,7]=>[7,4,1,6,2,3,8,5]=>0000000 [4,8,3,2,5,1,7,6]=>[6,7,1,5,2,3,8,4]=>0000000 [4,3,7,2,5,1,8,6]=>[6,8,1,5,2,7,3,4]=>0000000 [3,8,7,2,5,1,4,6]=>[6,4,1,5,2,7,8,3]=>0000000 [6,4,2,7,5,1,3,8]=>[8,3,1,5,7,2,4,6]=>0000000 [4,8,7,3,1,5,6,2]=>[2,6,5,1,3,7,8,4]=>0000000 [5,8,3,6,1,4,7,2]=>[2,7,4,1,6,3,8,5]=>0000000 [6,4,3,7,1,5,8,2]=>[2,8,5,1,7,3,4,6]=>0000000 [4,8,3,6,1,5,7,2]=>[2,7,5,1,6,3,8,4]=>0000000 [5,8,4,2,1,7,3,6]=>[6,3,7,1,2,4,8,5]=>0000000 [5,8,3,2,1,4,7,6]=>[6,7,4,1,2,3,8,5]=>0000000 [6,3,7,2,1,4,5,8]=>[8,5,4,1,2,7,3,6]=>0000000 [5,3,7,2,1,4,8,6]=>[6,8,4,1,2,7,3,5]=>0000000 [6,5,2,7,1,4,3,8]=>[8,3,4,1,7,2,5,6]=>0000000 [4,3,2,6,1,5,8,7]=>[7,8,5,1,6,2,3,4]=>0000000 [2,8,7,6,1,4,3,5]=>[5,3,4,1,6,7,8,2]=>0000000 [5,8,4,1,6,7,3,2]=>[2,3,7,6,1,4,8,5]=>0000000 [4,8,7,1,5,6,3,2]=>[2,3,6,5,1,7,8,4]=>0000000 [6,5,3,1,8,4,7,2]=>[2,7,4,8,1,3,5,6]=>0000000 [5,8,3,1,6,4,7,2]=>[2,7,4,6,1,3,8,5]=>0000000 [4,8,3,1,5,6,7,2]=>[2,7,6,5,1,3,8,4]=>0000000 [6,4,2,1,5,8,3,7]=>[7,3,8,5,1,2,4,6]=>0000000 [5,3,2,1,6,4,8,7]=>[7,8,4,6,1,2,3,5]=>0000000 [3,2,7,1,5,4,6,8]=>[8,6,4,5,1,7,2,3]=>0000000 [6,4,1,7,5,8,3,2]=>[2,3,8,5,7,1,4,6]=>0000000 [4,8,1,6,5,7,3,2]=>[2,3,7,5,6,1,8,4]=>0000000 [5,3,1,6,7,4,8,2]=>[2,8,4,7,6,1,3,5]=>0000000 [4,3,1,6,5,7,8,2]=>[2,8,7,5,6,1,3,4]=>0000000 [4,2,1,6,5,7,3,8]=>[8,3,7,5,6,1,2,4]=>0000000 [3,1,7,6,5,4,8,2]=>[2,8,4,5,6,7,1,3]=>0000000 [4,5,8,1,7,2,3,6]=>[6,3,2,7,1,8,5,4]=>0000000 [8,1,3,5,7,2,4,6]=>[6,4,2,7,5,3,1,8]=>0000001 [8,1,2,3,5,4,6,7]=>[7,6,4,5,3,2,1,8]=>0000001 [2,7,8,1,3,5,4,6]=>[6,4,5,3,1,8,7,2]=>0000000 [2,7,8,3,5,6,1,4]=>[4,1,6,5,3,8,7,2]=>0000000 [2,4,5,7,8,1,6,3]=>[3,6,1,8,7,5,4,2]=>0000000 [8,7,2,1,6,3,4,5]=>[5,4,3,6,1,2,7,8]=>0000011 [7,4,2,6,8,5,1,3]=>[3,1,5,8,6,2,4,7]=>0000000 [7,3,2,5,8,6,1,4]=>[4,1,6,8,5,2,3,7]=>0000000 [7,3,1,8,6,2,4,5]=>[5,4,2,6,8,1,3,7]=>0000000 [3,1,7,2,5,4,8,6]=>[6,8,4,5,2,7,1,3]=>0000000 [3,6,8,1,2,5,4,7]=>[7,4,5,2,1,8,6,3]=>0000000 [7,4,1,8,5,2,3,6]=>[6,3,2,5,8,1,4,7]=>0000000 [7,1,4,2,8,3,6,5]=>[5,6,3,8,2,4,1,7]=>0000000 [7,1,8,2,5,3,6,4]=>[4,6,3,5,2,8,1,7]=>0000000 [7,3,8,4,5,1,6,2]=>[2,6,1,5,4,8,3,7]=>0000000 [8,3,7,4,6,1,5,2]=>[2,5,1,6,4,7,3,8]=>0000001 [8,2,7,1,6,4,5,3]=>[3,5,4,6,1,7,2,8]=>0000001 [8,1,7,5,4,2,3,6]=>[6,3,2,4,5,7,1,8]=>0000001 [8,1,2,6,5,4,3,7]=>[7,3,4,5,6,2,1,8]=>0000001 [8,2,7,5,6,1,4,3]=>[3,4,1,6,5,7,2,8]=>0000001 [8,6,7,2,3,1,5,4]=>[4,5,1,3,2,7,6,8]=>0000101 [2,7,8,6,3,1,5,4]=>[4,5,1,3,6,8,7,2]=>0000000 [8,7,6,3,2,1,5,4]=>[4,5,1,2,3,6,7,8]=>0000111 [2,1,8,6,3,7,4,5]=>[5,4,7,3,6,8,1,2]=>0000000 [8,5,1,7,4,2,6,3]=>[3,6,2,4,7,1,5,8]=>0000001 [2,1,8,4,5,3,6,7]=>[7,6,3,5,4,8,1,2]=>0000000 [2,1,7,8,3,6,5,4]=>[4,5,6,3,8,7,1,2]=>0000000 [5,2,4,8,6,3,1,7]=>[7,1,3,6,8,4,2,5]=>0000000 [4,2,6,3,8,5,1,7]=>[7,1,5,8,3,6,2,4]=>0000000 [8,5,2,7,4,6,1,3]=>[3,1,6,4,7,2,5,8]=>0000001 [6,3,4,2,1,7,8,5]=>[5,8,7,1,2,4,3,6]=>0000000 [7,2,4,3,1,5,8,6]=>[6,8,5,1,3,4,2,7]=>0000000 [7,8,3,1,5,4,6,2]=>[2,6,4,5,1,3,8,7]=>0000010 [7,2,8,1,4,6,5,3]=>[3,5,6,4,1,8,2,7]=>0000000 [6,2,3,1,4,5,8,7]=>[7,8,5,4,1,3,2,6]=>0000000 [5,7,1,8,3,6,2,4]=>[4,2,6,3,8,1,7,5]=>0000000 [6,8,1,4,5,3,2,7]=>[7,2,3,5,4,1,8,6]=>0000000 [8,7,5,1,3,4,2,6]=>[6,2,4,3,1,5,7,8]=>0000011 [6,5,7,1,3,8,2,4]=>[4,2,8,3,1,7,5,6]=>0000000 [8,2,6,1,4,7,3,5]=>[5,3,7,4,1,6,2,8]=>0000001 [5,8,1,6,3,7,4,2]=>[2,4,7,3,6,1,8,5]=>0000000 [4,2,1,3,6,7,8,5]=>[5,8,7,6,3,1,2,4]=>0000000 [2,3,4,1,8,6,5,7]=>[7,5,6,8,1,4,3,2]=>0000000 [8,3,5,6,1,7,4,2]=>[2,4,7,1,6,5,3,8]=>0000001 [7,3,5,8,1,6,2,4]=>[4,2,6,1,8,5,3,7]=>0000000 [6,3,5,4,1,2,8,7]=>[7,8,2,1,4,5,3,6]=>0000000 [2,6,3,5,1,4,8,7]=>[7,8,4,1,5,3,6,2]=>0000000 [8,7,3,6,5,1,4,2]=>[2,4,1,5,6,3,7,8]=>0000011 [2,8,3,4,6,1,5,7]=>[7,5,1,6,4,3,8,2]=>0000000 [2,7,4,3,6,1,8,5]=>[5,8,1,6,3,4,7,2]=>0000000 [4,3,2,5,7,1,8,6]=>[6,8,1,7,5,2,3,4]=>0000000 [3,2,8,4,7,1,6,5]=>[5,6,1,7,4,8,2,3]=>0000000 [3,2,4,6,1,5,8,7]=>[7,8,5,1,6,4,2,3]=>0000000 [6,8,5,4,3,7,2,1]=>[1,2,7,3,4,5,8,6]=>1100000 [6,5,4,3,1,8,7,2]=>[2,7,8,1,3,4,5,6]=>0000000 [3,4,6,7,1,8,5,2]=>[2,5,8,1,7,6,4,3]=>0000000 [3,4,7,2,1,8,6,5]=>[5,6,8,1,2,7,4,3]=>0000000 [3,4,7,2,8,5,6,1]=>[1,6,5,8,2,7,4,3]=>1000000 [3,4,8,2,1,5,6,7]=>[7,6,5,1,2,8,4,3]=>0000000 [3,5,2,6,8,4,1,7]=>[7,1,4,8,6,2,5,3]=>0000000 [3,5,2,7,4,8,6,1]=>[1,6,8,4,7,2,5,3]=>1000000 [3,5,2,7,8,4,6,1]=>[1,6,4,8,7,2,5,3]=>1000000 [3,5,2,8,4,1,6,7]=>[7,6,1,4,8,2,5,3]=>0000000 [3,5,6,2,7,8,1,4]=>[4,1,8,7,2,6,5,3]=>0000000 [3,5,6,2,8,4,1,7]=>[7,1,4,8,2,6,5,3]=>0000000 [3,5,7,8,4,1,6,2]=>[2,6,1,4,8,7,5,3]=>0000000 [3,6,2,1,8,5,4,7]=>[7,4,5,8,1,2,6,3]=>0000000 [3,6,2,7,4,8,5,1]=>[1,5,8,4,7,2,6,3]=>1000000 [3,6,2,7,8,5,4,1]=>[1,4,5,8,7,2,6,3]=>1000000 [3,6,7,2,4,8,5,1]=>[1,5,8,4,2,7,6,3]=>1000000 [4,1,5,6,7,8,3,2]=>[2,3,8,7,6,5,1,4]=>0000000 [4,1,5,7,3,8,6,2]=>[2,6,8,3,7,5,1,4]=>0000000 [4,1,5,7,8,2,6,3]=>[3,6,2,8,7,5,1,4]=>0000000 [4,1,5,8,3,2,6,7]=>[7,6,2,3,8,5,1,4]=>0000000 [4,1,6,8,3,5,2,7]=>[7,2,5,3,8,6,1,4]=>0000000 [4,1,7,3,8,5,6,2]=>[2,6,5,8,3,7,1,4]=>0000000 [4,1,7,8,3,5,6,2]=>[2,6,5,3,8,7,1,4]=>0000000 [4,5,2,7,3,8,6,1]=>[1,6,8,3,7,2,5,4]=>1000000 [4,5,6,8,3,1,2,7]=>[7,2,1,3,8,6,5,4]=>0000000 [4,5,7,3,2,8,6,1]=>[1,6,8,2,3,7,5,4]=>1000000 [4,6,2,3,7,8,5,1]=>[1,5,8,7,3,2,6,4]=>1000000 [4,6,2,3,8,5,1,7]=>[7,1,5,8,3,2,6,4]=>0000000 [4,6,2,7,3,8,5,1]=>[1,5,8,3,7,2,6,4]=>1000000 [4,6,8,3,2,5,1,7]=>[7,1,5,2,3,8,6,4]=>0000000 [4,7,8,3,2,5,6,1]=>[1,6,5,2,3,8,7,4]=>1000000 [4,8,2,3,1,5,6,7]=>[7,6,5,1,3,2,8,4]=>0000000 [5,1,2,6,8,4,3,7]=>[7,3,4,8,6,2,1,5]=>0000000 [5,1,6,7,4,8,2,3]=>[3,2,8,4,7,6,1,5]=>0000000 [5,1,6,7,8,4,2,3]=>[3,2,4,8,7,6,1,5]=>0000000 [5,6,2,7,4,8,1,3]=>[3,1,8,4,7,2,6,5]=>0000000 [5,6,2,7,8,4,1,3]=>[3,1,4,8,7,2,6,5]=>0000000 [5,6,8,3,4,2,1,7]=>[7,1,2,4,3,8,6,5]=>0000000 [5,7,8,3,4,2,6,1]=>[1,6,2,4,3,8,7,5]=>1000000 [6,1,2,3,7,8,5,4]=>[4,5,8,7,3,2,1,6]=>0000000 [6,1,7,3,8,5,4,2]=>[2,4,5,8,3,7,1,6]=>0000000 [7,1,2,3,4,8,6,5]=>[5,6,8,4,3,2,1,7]=>0000000 [7,1,2,3,8,5,6,4]=>[4,6,5,8,3,2,1,7]=>0000000 [7,1,8,3,4,5,6,2]=>[2,6,5,4,3,8,1,7]=>0000000 [2,4,6,1,8,5,7,3]=>[3,7,5,8,1,6,4,2]=>0000000 [6,4,1,8,2,3,7,5]=>[5,7,3,2,8,1,4,6]=>0000000 [5,8,1,6,2,4,3,7]=>[7,3,4,2,6,1,8,5]=>0000000 [1,3,5,7,2,6,4,8]=>[8,4,6,2,7,5,3,1]=>0000000 [3,5,1,8,2,4,7,6]=>[6,7,4,2,8,1,5,3]=>0000000 [2,3,5,6,8,1,7,4]=>[4,7,1,8,6,5,3,2]=>0000000 [5,6,4,8,2,1,7,3]=>[3,7,1,2,8,4,6,5]=>0000000 [7,1,8,6,3,4,5,2]=>[2,5,4,3,6,8,1,7]=>0000000 [6,7,4,5,2,1,8,3]=>[3,8,1,2,5,4,7,6]=>0000000 [5,1,7,8,6,4,3,2]=>[2,3,4,6,8,7,1,5]=>0000000 [2,5,7,8,6,3,1,4]=>[4,1,3,6,8,7,5,2]=>0000000 [6,5,1,2,4,8,3,7]=>[7,3,8,4,2,1,5,6]=>0000000 [7,8,1,6,4,2,3,5]=>[5,3,2,4,6,1,8,7]=>0000010 [2,4,8,1,5,6,7,3]=>[3,7,6,5,1,8,4,2]=>0000000 [8,3,1,6,5,2,4,7]=>[7,4,2,5,6,1,3,8]=>0000001 [5,8,7,4,2,6,1,3]=>[3,1,6,2,4,7,8,5]=>0000000 [5,1,8,4,7,6,3,2]=>[2,3,6,7,4,8,1,5]=>0000000 [4,8,6,5,7,3,2,1]=>[1,2,3,7,5,6,8,4]=>1110000 [4,8,5,6,7,3,2,1]=>[1,2,3,7,6,5,8,4]=>1110000 [2,8,7,6,3,4,5,1]=>[1,5,4,3,6,7,8,2]=>1000000 [8,4,7,2,5,6,3,1]=>[1,3,6,5,2,7,4,8]=>1000001 [3,6,1,8,5,2,7,4]=>[4,7,2,5,8,1,6,3]=>0000000 [3,4,1,2,8,6,7,5]=>[5,7,6,8,2,1,4,3]=>0000000 [7,2,5,8,3,6,1,4]=>[4,1,6,3,8,5,2,7]=>0000000 [7,6,3,8,5,2,1,4]=>[4,1,2,5,8,3,6,7]=>0000000 [5,8,7,4,1,6,3,2]=>[2,3,6,1,4,7,8,5]=>0000000 [4,2,3,1,7,8,5,6]=>[6,5,8,7,1,3,2,4]=>0000000 [8,6,3,4,7,2,5,1]=>[1,5,2,7,4,3,6,8]=>1000001 [5,2,8,4,1,6,7,3]=>[3,7,6,1,4,8,2,5]=>0000000 [5,3,6,2,4,8,1,7]=>[7,1,8,4,2,6,3,5]=>0000000 [5,3,2,1,6,8,4,7]=>[7,4,8,6,1,2,3,5]=>0000000 [3,4,6,5,7,1,8,2]=>[2,8,1,7,5,6,4,3]=>0000000 [7,5,4,2,6,8,3,1]=>[1,3,8,6,2,4,5,7]=>1000000 [7,3,8,4,5,2,1,6]=>[6,1,2,5,4,8,3,7]=>0000000 [8,7,2,1,5,3,4,6]=>[6,4,3,5,1,2,7,8]=>0000011 [6,4,7,2,3,5,8,1]=>[1,8,5,3,2,7,4,6]=>1000000 [3,4,7,8,6,2,5,1]=>[1,5,2,6,8,7,4,3]=>1000000 [4,1,3,5,7,8,6,2]=>[2,6,8,7,5,3,1,4]=>0000000 [5,3,1,8,4,7,6,2]=>[2,6,7,4,8,1,3,5]=>0000000 [7,5,8,2,4,6,1,3]=>[3,1,6,4,2,8,5,7]=>0000000 [8,2,7,4,6,1,3,5]=>[5,3,1,6,4,7,2,8]=>0000001 [7,4,3,6,8,2,5,1]=>[1,5,2,8,6,3,4,7]=>1000000 [8,3,2,5,7,6,1,4]=>[4,1,6,7,5,2,3,8]=>0000001 [5,6,7,3,8,4,2,1]=>[1,2,4,8,3,7,6,5]=>1100000 [4,3,5,6,7,1,8,2]=>[2,8,1,7,6,5,3,4]=>0000000 [6,5,8,7,2,1,3,4]=>[4,3,1,2,7,8,5,6]=>0001000 [2,5,4,1,8,7,6,3]=>[3,6,7,8,1,4,5,2]=>0000000 [4,7,2,6,5,8,1,3]=>[3,1,8,5,6,2,7,4]=>0000000 [3,4,7,8,2,5,6,1]=>[1,6,5,2,8,7,4,3]=>1000000 [3,1,4,6,5,7,8,2]=>[2,8,7,5,6,4,1,3]=>0000000 [1,2,3,8,5,4,6,7]=>[7,6,4,5,8,3,2,1]=>0000000 [1,2,3,8,5,6,4,7]=>[7,4,6,5,8,3,2,1]=>0000000 [1,2,3,8,6,5,4,7]=>[7,4,5,6,8,3,2,1]=>0000000 [1,2,8,5,4,3,6,7]=>[7,6,3,4,5,8,2,1]=>0000000 [1,8,4,3,2,5,6,7]=>[7,6,5,2,3,4,8,1]=>0000000 [8,5,7,6,4,3,2,1]=>[1,2,3,4,6,7,5,8]=>1111001 [8,4,7,6,5,3,2,1]=>[1,2,3,5,6,7,4,8]=>1110001 [8,4,7,5,6,3,2,1]=>[1,2,3,6,5,7,4,8]=>1110001 [8,5,7,4,6,3,2,1]=>[1,2,3,6,4,7,5,8]=>1110001 [8,4,7,3,6,5,2,1]=>[1,2,5,6,3,7,4,8]=>1100001 [8,2,7,1,6,5,4,3]=>[3,4,5,6,1,7,2,8]=>0000001 [8,1,7,2,6,5,4,3]=>[3,4,5,6,2,7,1,8]=>0000001 [8,1,7,2,6,4,5,3]=>[3,5,4,6,2,7,1,8]=>0000001 [8,3,7,1,6,4,5,2]=>[2,5,4,6,1,7,3,8]=>0000001 [8,4,7,1,6,3,5,2]=>[2,5,3,6,1,7,4,8]=>0000001 [8,5,7,1,6,3,4,2]=>[2,4,3,6,1,7,5,8]=>0000001 [8,6,7,1,5,3,4,2]=>[2,4,3,5,1,7,6,8]=>0000101 [8,6,7,2,5,3,4,1]=>[1,4,3,5,2,7,6,8]=>1000101 [8,5,7,2,6,3,4,1]=>[1,4,3,6,2,7,5,8]=>1000001 [8,4,7,2,6,3,5,1]=>[1,5,3,6,2,7,4,8]=>1000001 [8,3,7,2,6,4,5,1]=>[1,5,4,6,2,7,3,8]=>1000001 [8,2,7,3,6,4,5,1]=>[1,5,4,6,3,7,2,8]=>1000001 [8,1,7,3,6,4,5,2]=>[2,5,4,6,3,7,1,8]=>0000001 [8,1,7,4,6,3,5,2]=>[2,5,3,6,4,7,1,8]=>0000001 [8,2,7,4,6,3,5,1]=>[1,5,3,6,4,7,2,8]=>1000001 [8,3,7,4,6,2,5,1]=>[1,5,2,6,4,7,3,8]=>1000001 [8,5,7,3,6,2,4,1]=>[1,4,2,6,3,7,5,8]=>1000001 [8,6,7,3,5,2,4,1]=>[1,4,2,5,3,7,6,8]=>1000101 [8,5,7,4,6,2,3,1]=>[1,3,2,6,4,7,5,8]=>1010001 [8,4,7,5,6,2,3,1]=>[1,3,2,6,5,7,4,8]=>1010001 [8,3,7,5,6,2,4,1]=>[1,4,2,6,5,7,3,8]=>1000001 [8,2,7,5,6,3,4,1]=>[1,4,3,6,5,7,2,8]=>1000001 [8,1,7,5,6,3,4,2]=>[2,4,3,6,5,7,1,8]=>0000001 [8,3,7,6,5,2,4,1]=>[1,4,2,5,6,7,3,8]=>1000001 [8,7,6,5,4,1,3,2]=>[2,3,1,4,5,6,7,8]=>0011111 [8,1,7,5,6,2,4,3]=>[3,4,2,6,5,7,1,8]=>0000001 [8,3,7,5,6,1,4,2]=>[2,4,1,6,5,7,3,8]=>0000001 [8,4,7,5,6,1,3,2]=>[2,3,1,6,5,7,4,8]=>0010001 [8,6,7,4,5,1,3,2]=>[2,3,1,5,4,7,6,8]=>0010101 [8,6,7,3,5,1,4,2]=>[2,4,1,5,3,7,6,8]=>0000101 [8,4,7,3,6,1,5,2]=>[2,5,1,6,3,7,4,8]=>0000001 [8,2,7,4,6,1,5,3]=>[3,5,1,6,4,7,2,8]=>0000001 [8,1,7,4,6,2,5,3]=>[3,5,2,6,4,7,1,8]=>0000001 [8,1,7,3,6,2,5,4]=>[4,5,2,6,3,7,1,8]=>0000001 [8,2,7,3,6,1,5,4]=>[4,5,1,6,3,7,2,8]=>0000001 [8,3,7,2,6,1,5,4]=>[4,5,1,6,2,7,3,8]=>0000001 [8,4,7,2,6,1,5,3]=>[3,5,1,6,2,7,4,8]=>0000001 [8,5,7,2,6,1,4,3]=>[3,4,1,6,2,7,5,8]=>0000001 [8,6,7,2,5,1,4,3]=>[3,4,1,5,2,7,6,8]=>0000101 [8,7,6,1,5,2,4,3]=>[3,4,2,5,1,6,7,8]=>0000111 [8,6,7,1,5,2,4,3]=>[3,4,2,5,1,7,6,8]=>0000101 [8,5,7,1,6,2,4,3]=>[3,4,2,6,1,7,5,8]=>0000001 [8,4,7,1,6,2,5,3]=>[3,5,2,6,1,7,4,8]=>0000001 [8,3,7,1,6,2,5,4]=>[4,5,2,6,1,7,3,8]=>0000001 [8,2,7,1,6,3,5,4]=>[4,5,3,6,1,7,2,8]=>0000001 [5,7,4,8,6,3,2,1]=>[1,2,3,6,8,4,7,5]=>1110000 [4,6,7,3,8,5,2,1]=>[1,2,5,8,3,7,6,4]=>1100000 [6,7,8,9,10,5,4,3,2,1]=>[1,2,3,4,5,10,9,8,7,6]=>111110000 [5,7,8,9,4,10,6,3,2,1]=>[1,2,3,6,10,4,9,8,7,5]=>111000000 [4,6,8,3,9,5,10,7,2,1]=>[1,2,7,10,5,9,3,8,6,4]=>110000000 [3,5,2,7,4,9,6,10,8,1]=>[1,8,10,6,9,4,7,2,5,3]=>100000000 [1,6,2,5,3,4,8,7]=>[7,8,4,3,5,2,6,1]=>0000000 [1,6,2,4,8,3,5,7]=>[7,5,3,8,4,2,6,1]=>0000000 [1,7,2,3,6,4,8,5]=>[5,8,4,6,3,2,7,1]=>0000000 [1,5,2,3,8,4,7,6]=>[6,7,4,8,3,2,5,1]=>0000000 [1,3,5,2,8,4,7,6]=>[6,7,4,8,2,5,3,1]=>0000000 [1,5,8,2,3,7,4,6]=>[6,4,7,3,2,8,5,1]=>0000000 [5,7,2,6,3,8,1,4]=>[4,1,8,3,6,2,7,5]=>0000000 [5,7,1,6,8,4,3,2]=>[2,3,4,8,6,1,7,5]=>0000000 [8,4,6,2,5,7,3,1]=>[1,3,7,5,2,6,4,8]=>1000001 [4,7,1,3,2,8,6,5]=>[5,6,8,2,3,1,7,4]=>0000000 [3,8,7,1,6,4,5,2]=>[2,5,4,6,1,7,8,3]=>0000000 [4,3,2,1,5,8,6,7]=>[7,6,8,5,1,2,3,4]=>0000000 [3,4,6,1,5,8,2,7]=>[7,2,8,5,1,6,4,3]=>0000000 [6,5,8,7,1,4,2,3]=>[3,2,4,1,7,8,5,6]=>0001000 [6,3,1,2,5,8,4,7]=>[7,4,8,5,2,1,3,6]=>0000000 [7,6,1,4,3,5,8,2]=>[2,8,5,3,4,1,6,7]=>0000000 [2,5,3,4,8,6,1,7]=>[7,1,6,8,4,3,5,2]=>0000000 [2,4,8,3,6,1,7,5]=>[5,7,1,6,3,8,4,2]=>0000000 [7,1,5,6,8,4,3,2]=>[2,3,4,8,6,5,1,7]=>0000000 [6,1,4,2,8,3,5,7]=>[7,5,3,8,2,4,1,6]=>0000000 [7,4,1,5,8,2,3,6]=>[6,3,2,8,5,1,4,7]=>0000000 [6,3,4,2,8,7,5,1]=>[1,5,7,8,2,4,3,6]=>1000000 [6,8,7,4,2,3,5,1]=>[1,5,3,2,4,7,8,6]=>1000100 [2,7,6,3,4,5,8,1]=>[1,8,5,4,3,6,7,2]=>1000000 [5,1,7,2,4,3,8,6]=>[6,8,3,4,2,7,1,5]=>0000000 [1,5,3,4,8,6,2,7]=>[7,2,6,8,4,3,5,1]=>0000000 [3,7,5,8,2,6,1,4]=>[4,1,6,2,8,5,7,3]=>0000000 [6,3,1,4,7,5,8,2]=>[2,8,5,7,4,1,3,6]=>0000000 [3,6,1,4,7,2,8,5]=>[5,8,2,7,4,1,6,3]=>0000000 [6,2,7,4,5,8,1,3]=>[3,1,8,5,4,7,2,6]=>0000000 [2,1,8,4,5,7,3,6]=>[6,3,7,5,4,8,1,2]=>0000000 [3,2,1,6,4,8,5,7]=>[7,5,8,4,6,1,2,3]=>0000000 [2,1,8,5,4,3,6,7]=>[7,6,3,4,5,8,1,2]=>0000000 [7,4,8,6,2,3,1,5]=>[5,1,3,2,6,8,4,7]=>0000000 [7,3,2,4,8,6,1,5]=>[5,1,6,8,4,2,3,7]=>0000000 [2,7,1,4,6,3,8,5]=>[5,8,3,6,4,1,7,2]=>0000000 [7,1,3,2,8,5,4,6]=>[6,4,5,8,2,3,1,7]=>0000000 [5,1,7,4,2,3,8,6]=>[6,8,3,2,4,7,1,5]=>0000000 [8,4,7,5,2,3,6,1]=>[1,6,3,2,5,7,4,8]=>1000001 [7,5,2,8,4,6,1,3]=>[3,1,6,4,8,2,5,7]=>0000000 [6,7,5,1,2,8,3,4]=>[4,3,8,2,1,5,7,6]=>0000000 [7,5,1,4,2,6,8,3]=>[3,8,6,2,4,1,5,7]=>0000000 [7,6,2,4,5,8,3,1]=>[1,3,8,5,4,2,6,7]=>1000000 [3,6,8,4,7,2,5,1]=>[1,5,2,7,4,8,6,3]=>1000000 [2,6,3,8,4,7,5,1]=>[1,5,7,4,8,3,6,2]=>1000000 [2,1,5,6,8,3,7,4]=>[4,7,3,8,6,5,1,2]=>0000000 [5,8,1,2,6,4,7,3]=>[3,7,4,6,2,1,8,5]=>0000000 [1,2,7,4,8,3,6,5]=>[5,6,3,8,4,7,2,1]=>0000000 [1,6,7,5,2,8,3,4]=>[4,3,8,2,5,7,6,1]=>0000000 [5,4,8,3,6,2,7,1]=>[1,7,2,6,3,8,4,5]=>1000000 [5,7,3,8,2,4,6,1]=>[1,6,4,2,8,3,7,5]=>1000000 [6,4,5,8,2,7,3,1]=>[1,3,7,2,8,5,4,6]=>1000000 [3,4,7,2,5,1,8,6]=>[6,8,1,5,2,7,4,3]=>0000000 [6,4,5,8,1,2,7,3]=>[3,7,2,1,8,5,4,6]=>0000000 [3,8,5,7,1,4,2,6]=>[6,2,4,1,7,5,8,3]=>0000000 [5,1,7,4,8,6,3,2]=>[2,3,6,8,4,7,1,5]=>0000000 [3,4,1,6,5,8,7,2]=>[2,7,8,5,6,1,4,3]=>0000000 [3,5,1,2,4,8,7,6]=>[6,7,8,4,2,1,5,3]=>0000000 [3,7,5,2,1,4,6,8]=>[8,6,4,1,2,5,7,3]=>0000000 [3,8,5,2,7,4,1,6]=>[6,1,4,7,2,5,8,3]=>0000000 [5,2,8,4,7,3,1,6]=>[6,1,3,7,4,8,2,5]=>0000000 [5,2,6,4,1,8,7,3]=>[3,7,8,1,4,6,2,5]=>0000000 [6,3,2,1,4,8,7,5]=>[5,7,8,4,1,2,3,6]=>0000000 [4,3,5,1,2,8,7,6]=>[6,7,8,2,1,5,3,4]=>0000000 [3,1,4,6,2,8,7,5]=>[5,7,8,2,6,4,1,3]=>0000000 [3,4,5,8,7,2,1,6]=>[6,1,2,7,8,5,4,3]=>0000000 [8,1,4,7,2,3,6,5]=>[5,6,3,2,7,4,1,8]=>0000001 [1,8,5,7,3,4,6,2]=>[2,6,4,3,7,5,8,1]=>0000000 [6,4,8,5,7,1,2,3]=>[3,2,1,7,5,8,4,6]=>0010000 [5,4,7,6,3,8,1,2]=>[2,1,8,3,6,7,4,5]=>0100000 [4,6,3,7,5,8,1,2]=>[2,1,8,5,7,3,6,4]=>0100000 [7,3,8,1,4,2,6,5]=>[5,6,2,4,1,8,3,7]=>0000000 [1,8,4,5,3,2,6,7]=>[7,6,2,3,5,4,8,1]=>0000000 [3,8,7,4,2,6,1,5]=>[5,1,6,2,4,7,8,3]=>0000000 [3,7,8,1,2,6,5,4]=>[4,5,6,2,1,8,7,3]=>0000000 [3,5,6,2,7,1,4,8]=>[8,4,1,7,2,6,5,3]=>0000000 [3,6,5,1,2,8,4,7]=>[7,4,8,2,1,5,6,3]=>0000000 [3,7,1,6,8,2,4,5]=>[5,4,2,8,6,1,7,3]=>0000000 [7,3,5,2,1,8,4,6]=>[6,4,8,1,2,5,3,7]=>0000000 [6,4,2,8,7,5,1,3]=>[3,1,5,7,8,2,4,6]=>0000000 [5,2,4,6,1,7,3,8]=>[8,3,7,1,6,4,2,5]=>0000000 [3,5,4,6,1,8,2,7]=>[7,2,8,1,6,4,5,3]=>0000000 [3,1,5,7,6,8,2,4]=>[4,2,8,6,7,5,1,3]=>0000000 [4,1,5,3,8,2,7,6]=>[6,7,2,8,3,5,1,4]=>0000000 [2,6,3,5,4,8,1,7]=>[7,1,8,4,5,3,6,2]=>0000000 [7,6,4,5,2,8,1,3]=>[3,1,8,2,5,4,6,7]=>0000000 [5,4,3,1,8,2,7,6]=>[6,7,2,8,1,3,4,5]=>0000000 [6,5,4,2,7,3,1,8]=>[8,1,3,7,2,4,5,6]=>0000000 [6,5,2,8,3,4,7,1]=>[1,7,4,3,8,2,5,6]=>1000000 [6,5,3,4,8,2,7,1]=>[1,7,2,8,4,3,5,6]=>1000000 [4,6,3,1,8,2,7,5]=>[5,7,2,8,1,3,6,4]=>0000000 [7,5,2,6,4,3,1,8]=>[8,1,3,4,6,2,5,7]=>0000000 [8,6,1,7,4,5,2,3]=>[3,2,5,4,7,1,6,8]=>0000001 [8,1,3,7,2,6,5,4]=>[4,5,6,2,7,3,1,8]=>0000001 [7,3,8,4,5,2,6,1]=>[1,6,2,5,4,8,3,7]=>1000000 [6,1,7,4,2,5,3,8]=>[8,3,5,2,4,7,1,6]=>0000000 [1,7,8,4,3,5,6,2]=>[2,6,5,3,4,8,7,1]=>0000000 [3,1,6,8,4,5,7,2]=>[2,7,5,4,8,6,1,3]=>0000000 [2,5,7,1,8,3,6,4]=>[4,6,3,8,1,7,5,2]=>0000000 [6,2,7,1,8,4,5,3]=>[3,5,4,8,1,7,2,6]=>0000000 [4,7,1,3,8,5,6,2]=>[2,6,5,8,3,1,7,4]=>0000000 [3,7,2,1,8,4,5,6]=>[6,5,4,8,1,2,7,3]=>0000000 [2,1,5,8,3,6,7,4]=>[4,7,6,3,8,5,1,2]=>0000000 [4,2,7,1,8,3,6,5]=>[5,6,3,8,1,7,2,4]=>0000000 [4,3,1,6,8,2,7,5]=>[5,7,2,8,6,1,3,4]=>0000000 [3,5,1,6,8,2,7,4]=>[4,7,2,8,6,1,5,3]=>0000000 [3,8,7,4,6,2,5,1]=>[1,5,2,6,4,7,8,3]=>1000000 [5,8,7,4,3,6,2,1]=>[1,2,6,3,4,7,8,5]=>1100000 [2,5,6,8,4,3,7,1]=>[1,7,3,4,8,6,5,2]=>1000000 [2,4,7,5,8,1,6,3]=>[3,6,1,8,5,7,4,2]=>0000000 [5,2,1,8,7,6,4,3]=>[3,4,6,7,8,1,2,5]=>0000000 [4,8,5,6,7,1,2,3]=>[3,2,1,7,6,5,8,4]=>0010000 [5,4,8,6,1,7,2,3]=>[3,2,7,1,6,8,4,5]=>0000000 [5,3,8,1,6,7,2,4]=>[4,2,7,6,1,8,3,5]=>0000000 [5,2,1,8,6,7,3,4]=>[4,3,7,6,8,1,2,5]=>0000000 [6,2,1,5,8,3,7,4]=>[4,7,3,8,5,1,2,6]=>0000000 [6,5,4,8,2,1,7,3]=>[3,7,1,2,8,4,5,6]=>0000000 [5,8,4,7,2,6,3,1]=>[1,3,6,2,7,4,8,5]=>1000000 [1,5,7,4,8,2,6,3]=>[3,6,2,8,4,7,5,1]=>0000000 [6,5,3,2,8,1,7,4]=>[4,7,1,8,2,3,5,6]=>0000000 [6,4,3,2,1,8,7,5]=>[5,7,8,1,2,3,4,6]=>0000000 [6,3,4,1,2,8,7,5]=>[5,7,8,2,1,4,3,6]=>0000000 [6,2,1,4,3,8,7,5]=>[5,7,8,3,4,1,2,6]=>0000000 [5,2,1,4,3,6,7,8]=>[8,7,6,3,4,1,2,5]=>0000000 [4,6,3,2,5,1,7,8]=>[8,7,1,5,2,3,6,4]=>0000000 [4,3,6,1,5,2,7,8]=>[8,7,2,5,1,6,3,4]=>0000000 [3,4,6,5,8,1,7,2]=>[2,7,1,8,5,6,4,3]=>0000000 [2,1,5,3,8,4,7,6]=>[6,7,4,8,3,5,1,2]=>0000000 [3,1,8,2,5,4,7,6]=>[6,7,4,5,2,8,1,3]=>0000000 [8,1,3,2,6,4,7,5]=>[5,7,4,6,2,3,1,8]=>0000001 [3,1,8,2,6,4,7,5]=>[5,7,4,6,2,8,1,3]=>0000000 [2,1,8,3,6,4,7,5]=>[5,7,4,6,3,8,1,2]=>0000000 [2,1,6,3,8,4,7,5]=>[5,7,4,8,3,6,1,2]=>0000000 [2,1,7,3,5,4,8,6]=>[6,8,4,5,3,7,1,2]=>0000000 [2,1,7,3,6,4,8,5]=>[5,8,4,6,3,7,1,2]=>0000000 [2,1,7,3,8,4,6,5]=>[5,6,4,8,3,7,1,2]=>0000000 [8,1,4,2,7,3,6,5]=>[5,6,3,7,2,4,1,8]=>0000001 [4,1,8,2,7,3,6,5]=>[5,6,3,7,2,8,1,4]=>0000000 [4,1,7,2,8,3,6,5]=>[5,6,3,8,2,7,1,4]=>0000000 [3,1,7,2,8,4,6,5]=>[5,6,4,8,2,7,1,3]=>0000000 [3,1,6,2,5,4,8,7]=>[7,8,4,5,2,6,1,3]=>0000000 [7,1,3,2,5,4,8,6]=>[6,8,4,5,2,3,1,7]=>0000000 [7,1,3,2,6,4,8,5]=>[5,8,4,6,2,3,1,7]=>0000000 [7,1,3,2,8,4,6,5]=>[5,6,4,8,2,3,1,7]=>0000000 [7,1,8,2,4,3,6,5]=>[5,6,3,4,2,8,1,7]=>0000000 [8,1,7,2,5,3,6,4]=>[4,6,3,5,2,7,1,8]=>0000001 [7,1,5,2,8,3,6,4]=>[4,6,3,8,2,5,1,7]=>0000000 [6,1,4,2,5,3,8,7]=>[7,8,3,5,2,4,1,6]=>0000000 [4,1,6,2,5,3,8,7]=>[7,8,3,5,2,6,1,4]=>0000000 [4,1,7,2,5,3,8,6]=>[6,8,3,5,2,7,1,4]=>0000000 [4,1,7,2,6,3,8,5]=>[5,8,3,6,2,7,1,4]=>0000000 [5,1,7,2,6,3,8,4]=>[4,8,3,6,2,7,1,5]=>0000000 [5,1,7,2,8,3,6,4]=>[4,6,3,8,2,7,1,5]=>0000000 [5,1,8,2,7,3,6,4]=>[4,6,3,7,2,8,1,5]=>0000000 [8,1,5,2,7,3,6,4]=>[4,6,3,7,2,5,1,8]=>0000001 [8,1,5,2,6,3,7,4]=>[4,7,3,6,2,5,1,8]=>0000001 [5,1,8,2,6,3,7,4]=>[4,7,3,6,2,8,1,5]=>0000000 [5,1,6,2,8,3,7,4]=>[4,7,3,8,2,6,1,5]=>0000000 [3,1,6,2,8,4,7,5]=>[5,7,4,8,2,6,1,3]=>0000000 [4,1,8,2,6,3,7,5]=>[5,7,3,6,2,8,1,4]=>0000000 [8,1,4,2,6,3,7,5]=>[5,7,3,6,2,4,1,8]=>0000001 [8,1,4,2,5,3,7,6]=>[6,7,3,5,2,4,1,8]=>0000001 [4,1,8,2,5,3,7,6]=>[6,7,3,5,2,8,1,4]=>0000000 [4,1,5,2,8,3,7,6]=>[6,7,3,8,2,5,1,4]=>0000000 [3,1,5,2,8,4,7,6]=>[6,7,4,8,2,5,1,3]=>0000000 [3,1,4,2,8,5,7,6]=>[6,7,5,8,2,4,1,3]=>0000000 [4,1,3,2,7,5,8,6]=>[6,8,5,7,2,3,1,4]=>0000000 [5,1,4,2,8,3,7,6]=>[6,7,3,8,2,4,1,5]=>0000000 [5,1,8,2,4,3,7,6]=>[6,7,3,4,2,8,1,5]=>0000000 [8,1,6,2,4,3,7,5]=>[5,7,3,4,2,6,1,8]=>0000001 [6,1,8,2,4,3,7,5]=>[5,7,3,4,2,8,1,6]=>0000000 [6,1,3,2,8,4,7,5]=>[5,7,4,8,2,3,1,6]=>0000000 [6,1,3,2,7,4,8,5]=>[5,8,4,7,2,3,1,6]=>0000000 [5,1,3,2,7,4,8,6]=>[6,8,4,7,2,3,1,5]=>0000000 [5,1,3,2,6,4,8,7]=>[7,8,4,6,2,3,1,5]=>0000000 [5,1,4,2,6,3,8,7]=>[7,8,3,6,2,4,1,5]=>0000000 [6,1,4,2,7,3,8,5]=>[5,8,3,7,2,4,1,6]=>0000000 [6,1,5,2,7,3,8,4]=>[4,8,3,7,2,5,1,6]=>0000000 [6,1,8,2,5,3,7,4]=>[4,7,3,5,2,8,1,6]=>0000000 [8,1,6,2,5,3,7,4]=>[4,7,3,5,2,6,1,8]=>0000001 [8,1,6,2,7,3,5,4]=>[4,5,3,7,2,6,1,8]=>0000001 [6,1,8,2,7,3,5,4]=>[4,5,3,7,2,8,1,6]=>0000000 [6,1,7,2,8,3,5,4]=>[4,5,3,8,2,7,1,6]=>0000000 [6,1,7,2,5,3,8,4]=>[4,8,3,5,2,7,1,6]=>0000000 [6,1,7,2,4,3,8,5]=>[5,8,3,4,2,7,1,6]=>0000000 [5,1,6,2,4,3,8,7]=>[7,8,3,4,2,6,1,5]=>0000000 [7,1,5,2,4,3,8,6]=>[6,8,3,4,2,5,1,7]=>0000000 [7,1,6,2,4,3,8,5]=>[5,8,3,4,2,6,1,7]=>0000000 [7,1,6,2,5,3,8,4]=>[4,8,3,5,2,6,1,7]=>0000000 [7,1,6,2,8,3,5,4]=>[4,5,3,8,2,6,1,7]=>0000000 [7,1,8,2,6,3,5,4]=>[4,5,3,6,2,8,1,7]=>0000000 [7,8,3,1,2,5,6,4]=>[4,6,5,2,1,3,8,7]=>0000010 [6,2,8,1,3,5,4,7]=>[7,4,5,3,1,8,2,6]=>0000000 [3,2,5,7,1,8,4,6]=>[6,4,8,1,7,5,2,3]=>0000000 [3,5,2,8,1,7,4,6]=>[6,4,7,1,8,2,5,3]=>0000000 [4,1,3,2,6,8,7,5]=>[5,7,8,6,2,3,1,4]=>0000000 [6,1,8,3,2,4,7,5]=>[5,7,4,2,3,8,1,6]=>0000000 [4,3,5,7,6,8,1,2]=>[2,1,8,6,7,5,3,4]=>0100000 [4,2,1,3,7,6,8,5]=>[5,8,6,7,3,1,2,4]=>0000000 [2,4,3,1,8,5,7,6]=>[6,7,5,8,1,3,4,2]=>0000000 [3,2,4,1,8,6,5,7]=>[7,5,6,8,1,4,2,3]=>0000000 [7,6,5,4,8,1,3,2]=>[2,3,1,8,4,5,6,7]=>0010000 [7,6,8,3,2,1,5,4]=>[4,5,1,2,3,8,6,7]=>0000100 [8,5,4,3,2,1,7,6]=>[6,7,1,2,3,4,5,8]=>0000001 [7,6,5,2,8,1,4,3]=>[3,4,1,8,2,5,6,7]=>0000000 [7,6,3,8,2,1,5,4]=>[4,5,1,2,8,3,6,7]=>0000000 [7,4,8,3,2,1,6,5]=>[5,6,1,2,3,8,4,7]=>0000000 [4,8,6,1,7,5,2,3]=>[3,2,5,7,1,6,8,4]=>0000000 [4,7,8,2,6,1,5,3]=>[3,5,1,6,2,8,7,4]=>0000000 [7,6,4,2,8,3,5,1]=>[1,5,3,8,2,4,6,7]=>1000000 [8,6,4,2,7,5,3,1]=>[1,3,5,7,2,4,6,8]=>1000001 [8,4,7,3,6,5,1,2]=>[2,1,5,6,3,7,4,8]=>0100001 [6,4,7,1,8,3,2,5]=>[5,2,3,8,1,7,4,6]=>0000000 [7,8,4,3,6,2,5,1]=>[1,5,2,6,3,4,8,7]=>1000010 [6,8,4,3,7,2,1,5]=>[5,1,2,7,3,4,8,6]=>0000000 [6,7,4,2,8,3,1,5]=>[5,1,3,8,2,4,7,6]=>0000000 [7,3,2,5,4,1,6,8]=>[8,6,1,4,5,2,3,7]=>0000000 [7,1,4,2,6,3,5,8]=>[8,5,3,6,2,4,1,7]=>0000000 [7,3,2,5,1,6,4,8]=>[8,4,6,1,5,2,3,7]=>0000000 [3,6,2,1,4,8,5,7]=>[7,5,8,4,1,2,6,3]=>0000000 [2,3,6,1,4,8,7,5]=>[5,7,8,4,1,6,3,2]=>0000000 [3,4,7,1,5,2,8,6]=>[6,8,2,5,1,7,4,3]=>0000000 [3,6,7,4,1,5,8,2]=>[2,8,5,1,4,7,6,3]=>0000000 [5,6,8,2,4,1,3,7]=>[7,3,1,4,2,8,6,5]=>0000000 [1,8,2,7,4,3,6,5]=>[5,6,3,4,7,2,8,1]=>0000000 [6,5,8,2,3,7,1,4]=>[4,1,7,3,2,8,5,6]=>0000000 [2,4,8,1,6,3,7,5]=>[5,7,3,6,1,8,4,2]=>0000000 [3,7,5,4,6,8,2,1]=>[1,2,8,6,4,5,7,3]=>1100000 [5,3,2,1,7,6,8,4]=>[4,8,6,7,1,2,3,5]=>0000000 [4,3,1,7,5,6,8,2]=>[2,8,6,5,7,1,3,4]=>0000000 [5,6,7,3,2,8,1,4]=>[4,1,8,2,3,7,6,5]=>0000000 [7,3,2,6,8,5,1,4]=>[4,1,5,8,6,2,3,7]=>0000000 [1,8,4,2,3,5,7,6]=>[6,7,5,3,2,4,8,1]=>0000000 [6,3,4,8,2,5,7,1]=>[1,7,5,2,8,4,3,6]=>1000000 [7,5,4,8,3,6,2,1]=>[1,2,6,3,8,4,5,7]=>1100000 [5,7,8,3,1,4,6,2]=>[2,6,4,1,3,8,7,5]=>0000000 [7,4,8,3,2,5,1,6]=>[6,1,5,2,3,8,4,7]=>0000000 [2,3,4,8,1,6,5,7]=>[7,5,6,1,8,4,3,2]=>0000000 [7,3,1,6,8,2,4,5]=>[5,4,2,8,6,1,3,7]=>0000000 [4,6,8,2,1,5,7,3]=>[3,7,5,1,2,8,6,4]=>0000000 [6,8,2,1,3,5,7,4]=>[4,7,5,3,1,2,8,6]=>0000000 [1,2,5,8,3,7,4,6]=>[6,4,7,3,8,5,2,1]=>0000000 [8,2,4,1,7,5,6,3]=>[3,6,5,7,1,4,2,8]=>0000001 [3,8,4,7,5,1,6,2]=>[2,6,1,5,7,4,8,3]=>0000000 [8,4,3,6,1,7,5,2]=>[2,5,7,1,6,3,4,8]=>0000001 [2,1,8,6,7,3,5,4]=>[4,5,3,7,6,8,1,2]=>0000000 [7,3,2,5,6,1,4,8]=>[8,4,1,6,5,2,3,7]=>0000000 [4,6,2,8,1,5,3,7]=>[7,3,5,1,8,2,6,4]=>0000000 [1,5,2,8,6,3,7,4]=>[4,7,3,6,8,2,5,1]=>0000000 [5,8,6,3,1,7,4,2]=>[2,4,7,1,3,6,8,5]=>0000000 [4,5,6,2,7,1,3,8]=>[8,3,1,7,2,6,5,4]=>0000000 [5,6,2,7,1,3,4,8]=>[8,4,3,1,7,2,6,5]=>0000000 [8,5,1,2,6,3,4,7]=>[7,4,3,6,2,1,5,8]=>0000001 [6,7,3,8,4,1,5,2]=>[2,5,1,4,8,3,7,6]=>0000000 [2,7,1,8,5,6,3,4]=>[4,3,6,5,8,1,7,2]=>0000000 [2,1,7,8,6,3,4,5]=>[5,4,3,6,8,7,1,2]=>0000000 [7,8,6,2,1,3,5,4]=>[4,5,3,1,2,6,8,7]=>0000110 [5,2,6,3,4,1,8,7]=>[7,8,1,4,3,6,2,5]=>0000000 [4,1,2,6,5,3,8,7]=>[7,8,3,5,6,2,1,4]=>0000000 [4,7,8,5,1,6,3,2]=>[2,3,6,1,5,8,7,4]=>0000000 [4,8,6,1,7,3,2,5]=>[5,2,3,7,1,6,8,4]=>0000000 [3,8,5,1,7,2,4,6]=>[6,4,2,7,1,5,8,3]=>0000000 [2,1,7,4,8,5,6,3]=>[3,6,5,8,4,7,1,2]=>0000000 [8,3,7,4,6,1,2,5]=>[5,2,1,6,4,7,3,8]=>0000001 [2,1,6,3,4,8,7,5]=>[5,7,8,4,3,6,1,2]=>0000000 [6,5,4,2,8,3,1,7]=>[7,1,3,8,2,4,5,6]=>0000000 [8,1,4,2,5,6,7,3]=>[3,7,6,5,2,4,1,8]=>0000001 [6,1,4,3,8,5,2,7]=>[7,2,5,8,3,4,1,6]=>0000000 [4,2,3,1,7,8,6,5]=>[5,6,8,7,1,3,2,4]=>0000000 [2,7,6,8,1,5,3,4]=>[4,3,5,1,8,6,7,2]=>0000000 [3,6,8,1,5,2,4,7]=>[7,4,2,5,1,8,6,3]=>0000000 [7,4,6,8,5,1,2,3]=>[3,2,1,5,8,6,4,7]=>0010000 [2,1,5,8,3,6,4,7]=>[7,4,6,3,8,5,1,2]=>0000000 [5,8,7,3,6,1,4,2]=>[2,4,1,6,3,7,8,5]=>0000000 [7,6,8,3,5,1,4,2]=>[2,4,1,5,3,8,6,7]=>0000100 [5,8,3,7,6,1,4,2]=>[2,4,1,6,7,3,8,5]=>0000000 [5,3,8,7,6,1,4,2]=>[2,4,1,6,7,8,3,5]=>0000000 [2,4,8,1,3,7,6,5]=>[5,6,7,3,1,8,4,2]=>0000000 [2,5,1,3,8,4,7,6]=>[6,7,4,8,3,1,5,2]=>0000000 [2,8,1,5,4,7,3,6]=>[6,3,7,4,5,1,8,2]=>0000000 [2,6,1,3,8,7,5,4]=>[4,5,7,8,3,1,6,2]=>0000000 [2,7,1,5,8,4,6,3]=>[3,6,4,8,5,1,7,2]=>0000000 [7,3,6,2,1,5,4,8]=>[8,4,5,1,2,6,3,7]=>0000000 [7,4,2,8,1,6,5,3]=>[3,5,6,1,8,2,4,7]=>0000000 [7,4,5,8,6,2,1,3]=>[3,1,2,6,8,5,4,7]=>0010000 [6,8,4,5,2,1,7,3]=>[3,7,1,2,5,4,8,6]=>0000000 [4,7,5,1,3,8,6,2]=>[2,6,8,3,1,5,7,4]=>0000000 [5,1,7,6,3,8,2,4]=>[4,2,8,3,6,7,1,5]=>0000000 [5,1,8,7,6,4,3,2]=>[2,3,4,6,7,8,1,5]=>0000000 [5,1,6,2,8,7,4,3]=>[3,4,7,8,2,6,1,5]=>0000000 [3,5,6,8,7,1,4,2]=>[2,4,1,7,8,6,5,3]=>0000000 [3,6,1,7,4,8,2,5]=>[5,2,8,4,7,1,6,3]=>0000000 [8,4,2,5,7,3,1,6]=>[6,1,3,7,5,2,4,8]=>0000001 [4,1,8,5,7,3,6,2]=>[2,6,3,7,5,8,1,4]=>0000000 [3,4,8,7,1,2,6,5]=>[5,6,2,1,7,8,4,3]=>0000000 [3,4,6,8,5,7,1,2]=>[2,1,7,5,8,6,4,3]=>0100000 [4,6,8,3,5,7,2,1]=>[1,2,7,5,3,8,6,4]=>1100000 [4,7,3,5,8,2,6,1]=>[1,6,2,8,5,3,7,4]=>1000000 [5,4,8,2,7,3,6,1]=>[1,6,3,7,2,8,4,5]=>1000000 [5,4,8,7,3,6,1,2]=>[2,1,6,3,7,8,4,5]=>0100000 [6,4,3,8,7,1,2,5]=>[5,2,1,7,8,3,4,6]=>0000000 [6,3,7,2,4,8,1,5]=>[5,1,8,4,2,7,3,6]=>0000000 [5,6,8,3,7,2,1,4]=>[4,1,2,7,3,8,6,5]=>0000000 [5,6,8,4,2,7,3,1]=>[1,3,7,2,4,8,6,5]=>1000000 [6,5,2,7,1,3,8,4]=>[4,8,3,1,7,2,5,6]=>0000000 [8,6,5,4,2,1,7,3]=>[3,7,1,2,4,5,6,8]=>0000001 [6,5,4,1,7,2,8,3]=>[3,8,2,7,1,4,5,6]=>0000000 [6,8,5,7,4,3,2,1]=>[1,2,3,4,7,5,8,6]=>1111000 [7,5,8,4,6,3,2,1]=>[1,2,3,6,4,8,5,7]=>1110000 [7,6,4,8,3,5,2,1]=>[1,2,5,3,8,4,6,7]=>1100000 [7,6,5,3,8,2,4,1]=>[1,4,2,8,3,5,6,7]=>1000000 [6,1,3,8,5,2,4,7]=>[7,4,2,5,8,3,1,6]=>0000000 [7,4,8,6,3,1,5,2]=>[2,5,1,3,6,8,4,7]=>0000000 [7,4,2,6,3,5,1,8]=>[8,1,5,3,6,2,4,7]=>0000000 [3,4,7,5,6,2,1,8]=>[8,1,2,6,5,7,4,3]=>0000000 [8,1,3,4,5,2,6,7]=>[7,6,2,5,4,3,1,8]=>0000001 [6,2,8,4,1,5,7,3]=>[3,7,5,1,4,8,2,6]=>0000000 [3,6,8,4,1,7,5,2]=>[2,5,7,1,4,8,6,3]=>0000000 [8,7,2,3,6,1,4,5]=>[5,4,1,6,3,2,7,8]=>0000011 [3,2,8,1,5,4,6,7]=>[7,6,4,5,1,8,2,3]=>0000000 [8,1,2,3,6,5,7,4]=>[4,7,5,6,3,2,1,8]=>0000001 [1,5,2,4,8,7,3,6]=>[6,3,7,8,4,2,5,1]=>0000000 [3,5,2,1,8,7,6,4]=>[4,6,7,8,1,2,5,3]=>0000000 [3,2,8,7,6,1,4,5]=>[5,4,1,6,7,8,2,3]=>0000000 [1,8,6,7,2,3,4,5]=>[5,4,3,2,7,6,8,1]=>0000000 [7,6,3,2,1,8,5,4]=>[4,5,8,1,2,3,6,7]=>0000000 [5,2,3,4,7,1,8,6]=>[6,8,1,7,4,3,2,5]=>0000000 [5,8,3,1,2,4,7,6]=>[6,7,4,2,1,3,8,5]=>0000000 [8,4,1,7,2,3,6,5]=>[5,6,3,2,7,1,4,8]=>0000001 [3,2,8,1,6,5,7,4]=>[4,7,5,6,1,8,2,3]=>0000000 [3,2,6,1,5,7,4,8]=>[8,4,7,5,1,6,2,3]=>0000000 [3,5,1,4,6,7,2,8]=>[8,2,7,6,4,1,5,3]=>0000000 [4,1,3,2,5,7,6,8]=>[8,6,7,5,2,3,1,4]=>0000000 [6,8,5,3,7,1,2,4]=>[4,2,1,7,3,5,8,6]=>0000000 [6,8,2,4,5,1,3,7]=>[7,3,1,5,4,2,8,6]=>0000000 [3,6,7,2,5,1,4,8]=>[8,4,1,5,2,7,6,3]=>0000000 [5,8,4,1,7,2,6,3]=>[3,6,2,7,1,4,8,5]=>0000000 [6,8,3,1,4,5,7,2]=>[2,7,5,4,1,3,8,6]=>0000000 [5,3,8,4,2,6,7,1]=>[1,7,6,2,4,8,3,5]=>1000000 [2,4,6,3,5,8,1,7]=>[7,1,8,5,3,6,4,2]=>0000000 [3,4,1,6,5,8,2,7]=>[7,2,8,5,6,1,4,3]=>0000000 [6,4,2,8,7,1,5,3]=>[3,5,1,7,8,2,4,6]=>0000000 [3,1,8,2,7,6,4,5]=>[5,4,6,7,2,8,1,3]=>0000000 [6,2,8,4,1,7,5,3]=>[3,5,7,1,4,8,2,6]=>0000000 [7,3,2,8,6,1,4,5]=>[5,4,1,6,8,2,3,7]=>0000000 [1,4,2,5,8,7,3,6]=>[6,3,7,8,5,2,4,1]=>0000000 [3,5,1,7,2,8,6,4]=>[4,6,8,2,7,1,5,3]=>0000000 [4,6,3,1,7,8,5,2]=>[2,5,8,7,1,3,6,4]=>0000000 [4,8,7,3,6,5,1,2]=>[2,1,5,6,3,7,8,4]=>0100000 [4,3,8,7,6,5,1,2]=>[2,1,5,6,7,8,3,4]=>0100000 [2,8,7,6,1,5,4,3]=>[3,4,5,1,6,7,8,2]=>0000000 [4,2,8,7,6,1,5,3]=>[3,5,1,6,7,8,2,4]=>0000000 [6,2,8,7,5,1,4,3]=>[3,4,1,5,7,8,2,6]=>0000000 [4,1,8,7,6,5,3,2]=>[2,3,5,6,7,8,1,4]=>0000000 [6,2,8,7,1,5,4,3]=>[3,4,5,1,7,8,2,6]=>0000000 [2,8,7,1,6,5,4,3]=>[3,4,5,6,1,7,8,2]=>0000000 [3,8,2,7,1,6,5,4]=>[4,5,6,1,7,2,8,3]=>0000000 [4,8,7,2,6,1,5,3]=>[3,5,1,6,2,7,8,4]=>0000000 [5,8,7,6,2,1,4,3]=>[3,4,1,2,6,7,8,5]=>0001000 [5,4,1,8,7,6,3,2]=>[2,3,6,7,8,1,4,5]=>0000000 [5,3,1,8,7,6,4,2]=>[2,4,6,7,8,1,3,5]=>0000000 [7,8,2,1,6,5,4,3]=>[3,4,5,6,1,2,8,7]=>0000010 [5,4,3,1,8,7,6,2]=>[2,6,7,8,1,3,4,5]=>0000000 [5,4,2,1,8,7,6,3]=>[3,6,7,8,1,2,4,5]=>0000000 [7,3,2,1,8,6,5,4]=>[4,5,6,8,1,2,3,7]=>0000000 [6,8,1,4,2,3,5,7]=>[7,5,3,2,4,1,8,6]=>0000000 [8,2,3,6,1,4,5,7]=>[7,5,4,1,6,3,2,8]=>0000001 [4,6,2,3,8,1,5,7]=>[7,5,1,8,3,2,6,4]=>0000000 [6,2,3,8,4,1,5,7]=>[7,5,1,4,8,3,2,6]=>0000000 [2,8,4,3,6,1,5,7]=>[7,5,1,6,3,4,8,2]=>0000000 [2,6,3,8,4,1,5,7]=>[7,5,1,4,8,3,6,2]=>0000000 [2,4,6,3,8,1,5,7]=>[7,5,1,8,3,6,4,2]=>0000000 [8,3,6,2,4,1,5,7]=>[7,5,1,4,2,6,3,8]=>0000001 [2,1,8,3,6,4,5,7]=>[7,5,4,6,3,8,1,2]=>0000000 [6,3,8,2,1,4,5,7]=>[7,5,4,1,2,8,3,6]=>0000000 [6,2,4,3,8,1,5,7]=>[7,5,1,8,3,4,2,6]=>0000000 [3,6,4,2,7,1,5,8]=>[8,5,1,7,2,4,6,3]=>0000000 [5,4,6,3,8,7,1,2]=>[2,1,7,8,3,6,4,5]=>0100000 [6,4,8,5,3,7,1,2]=>[2,1,7,3,5,8,4,6]=>0100000 [1,6,5,4,2,7,8,3]=>[3,8,7,2,4,5,6,1]=>0000000 [1,8,5,2,6,3,7,4]=>[4,7,3,6,2,5,8,1]=>0000000 [3,6,5,2,4,1,8,7]=>[7,8,1,4,2,5,6,3]=>0000000 [5,2,8,6,4,1,3,7]=>[7,3,1,4,6,8,2,5]=>0000000 [5,1,6,2,8,7,3,4]=>[4,3,7,8,2,6,1,5]=>0000000 [1,2,6,4,8,7,5,3]=>[3,5,7,8,4,6,2,1]=>0000000 [6,1,3,2,5,7,8,4]=>[4,8,7,5,2,3,1,6]=>0000000 [4,6,2,1,7,5,3,8]=>[8,3,5,7,1,2,6,4]=>0000000 [7,8,3,2,4,1,6,5]=>[5,6,1,4,2,3,8,7]=>0000010 [7,5,2,8,3,4,1,6]=>[6,1,4,3,8,2,5,7]=>0000000 [4,3,6,8,1,2,7,5]=>[5,7,2,1,8,6,3,4]=>0000000 [6,4,3,5,2,8,1,7]=>[7,1,8,2,5,3,4,6]=>0000000 [6,5,8,4,2,3,1,7]=>[7,1,3,2,4,8,5,6]=>0000000 [2,4,1,3,8,5,7,6]=>[6,7,5,8,3,1,4,2]=>0000000 [6,2,1,3,5,8,7,4]=>[4,7,8,5,3,1,2,6]=>0000000 [6,2,1,3,8,5,7,4]=>[4,7,5,8,3,1,2,6]=>0000000 [6,2,1,4,3,5,7,8]=>[8,7,5,3,4,1,2,6]=>0000000 [8,1,4,6,3,5,7,2]=>[2,7,5,3,6,4,1,8]=>0000001 [6,1,4,8,3,5,7,2]=>[2,7,5,3,8,4,1,6]=>0000000 [2,6,1,3,8,5,7,4]=>[4,7,5,8,3,1,6,2]=>0000000 [2,6,1,8,3,5,7,4]=>[4,7,5,3,8,1,6,2]=>0000000 [2,1,6,3,8,5,7,4]=>[4,7,5,8,3,6,1,2]=>0000000 [2,1,3,6,8,5,7,4]=>[4,7,5,8,6,3,1,2]=>0000000 [1,4,3,6,8,5,7,2]=>[2,7,5,8,6,3,4,1]=>0000000 [4,1,3,8,6,5,7,2]=>[2,7,5,6,8,3,1,4]=>0000000 [2,1,8,6,3,5,7,4]=>[4,7,5,3,6,8,1,2]=>0000000 [4,1,8,3,6,5,7,2]=>[2,7,5,6,3,8,1,4]=>0000000 [8,7,6,5,1,4,3,2]=>[2,3,4,1,5,6,7,8]=>0001111 [8,7,4,3,6,2,1,5]=>[5,1,2,6,3,4,7,8]=>0000011 [8,7,3,6,5,2,1,4]=>[4,1,2,5,6,3,7,8]=>0000011 [4,5,2,7,3,1,8,6]=>[6,8,1,3,7,2,5,4]=>0000000 [4,8,2,6,3,5,7,1]=>[1,7,5,3,6,2,8,4]=>1000000 [4,3,7,8,6,5,1,2]=>[2,1,5,6,8,7,3,4]=>0100000 [4,6,2,1,7,8,5,3]=>[3,5,8,7,1,2,6,4]=>0000000 [7,8,2,1,5,6,4,3]=>[3,4,6,5,1,2,8,7]=>0000010 [1,5,8,6,2,3,7,4]=>[4,7,3,2,6,8,5,1]=>0000000 [2,4,8,3,1,6,5,7]=>[7,5,6,1,3,8,4,2]=>0000000 [5,2,7,1,8,6,3,4]=>[4,3,6,8,1,7,2,5]=>0000000 [1,2,8,3,7,6,5,4]=>[4,5,6,7,3,8,2,1]=>0000000 [2,6,1,3,8,7,4,5]=>[5,4,7,8,3,1,6,2]=>0000000 [6,5,2,8,1,7,3,4]=>[4,3,7,1,8,2,5,6]=>0000000 [2,8,5,6,1,7,3,4]=>[4,3,7,1,6,5,8,2]=>0000000 [5,4,3,8,7,1,6,2]=>[2,6,1,7,8,3,4,5]=>0000000 [8,5,4,3,7,2,6,1]=>[1,6,2,7,3,4,5,8]=>1000001 [8,3,7,4,2,6,5,1]=>[1,5,6,2,4,7,3,8]=>1000001 [3,8,7,4,1,6,5,2]=>[2,5,6,1,4,7,8,3]=>0000000 [5,4,2,8,3,1,7,6]=>[6,7,1,3,8,2,4,5]=>0000000 [2,8,5,3,1,7,6,4]=>[4,6,7,1,3,5,8,2]=>0000000 [2,8,6,4,1,7,5,3]=>[3,5,7,1,4,6,8,2]=>0000000 [8,4,7,6,2,5,3,1]=>[1,3,5,2,6,7,4,8]=>1000001 [7,4,8,6,2,1,5,3]=>[3,5,1,2,6,8,4,7]=>0000000 [7,3,8,5,2,1,6,4]=>[4,6,1,2,5,8,3,7]=>0000000 [7,5,4,3,8,2,1,6]=>[6,1,2,8,3,4,5,7]=>0000000 [5,4,2,3,8,1,6,7]=>[7,6,1,8,3,2,4,5]=>0000000 [3,7,8,4,1,2,6,5]=>[5,6,2,1,4,8,7,3]=>0000000 [6,5,8,7,3,1,4,2]=>[2,4,1,3,7,8,5,6]=>0001000 [2,4,3,8,1,6,5,7]=>[7,5,6,1,8,3,4,2]=>0000000 [2,3,8,5,1,6,7,4]=>[4,7,6,1,5,8,3,2]=>0000000 [6,4,8,7,3,1,5,2]=>[2,5,1,3,7,8,4,6]=>0000000 [8,3,4,7,2,5,6,1]=>[1,6,5,2,7,4,3,8]=>1000001 [3,4,8,7,1,5,6,2]=>[2,6,5,1,7,8,4,3]=>0000000 [2,6,8,5,1,3,7,4]=>[4,7,3,1,5,8,6,2]=>0000000 [8,7,4,1,6,2,5,3]=>[3,5,2,6,1,4,7,8]=>0000011 [6,3,7,4,5,8,2,1]=>[1,2,8,5,4,7,3,6]=>1100000 [3,5,7,4,6,8,2,1]=>[1,2,8,6,4,7,5,3]=>1100000 [6,8,4,1,7,2,5,3]=>[3,5,2,7,1,4,8,6]=>0000000 [2,5,7,4,6,3,8,1]=>[1,8,3,6,4,7,5,2]=>1000000 [6,8,3,1,4,7,2,5]=>[5,2,7,4,1,3,8,6]=>0000000 [6,4,7,2,8,5,1,3]=>[3,1,5,8,2,7,4,6]=>0000000 [5,8,1,4,7,3,2,6]=>[6,2,3,7,4,1,8,5]=>0000000 [8,7,1,4,5,3,2,6]=>[6,2,3,5,4,1,7,8]=>0000011 [8,7,4,2,6,5,1,3]=>[3,1,5,6,2,4,7,8]=>0000011 [8,7,3,2,4,6,5,1]=>[1,5,6,4,2,3,7,8]=>1000011 [8,7,2,4,5,3,6,1]=>[1,6,3,5,4,2,7,8]=>1000011 [6,8,4,3,7,5,2,1]=>[1,2,5,7,3,4,8,6]=>1100000 [6,4,7,3,8,5,2,1]=>[1,2,5,8,3,7,4,6]=>1100000 [6,8,3,2,4,7,5,1]=>[1,5,7,4,2,3,8,6]=>1000000 [8,1,6,3,4,5,2,7]=>[7,2,5,4,3,6,1,8]=>0000001 [8,1,2,5,4,3,6,7]=>[7,6,3,4,5,2,1,8]=>0000001 [2,7,1,5,6,3,4,8]=>[8,4,3,6,5,1,7,2]=>0000000 [4,3,7,2,5,6,8,1]=>[1,8,6,5,2,7,3,4]=>1000000 [2,6,3,1,4,5,8,7]=>[7,8,5,4,1,3,6,2]=>0000000 [4,7,1,5,6,8,2,3]=>[3,2,8,6,5,1,7,4]=>0000000 [4,7,3,2,5,6,1,8]=>[8,1,6,5,2,3,7,4]=>0000000 [5,3,4,6,2,8,1,7]=>[7,1,8,2,6,4,3,5]=>0000000 [6,4,7,2,3,8,1,5]=>[5,1,8,3,2,7,4,6]=>0000000 [3,6,5,1,8,2,7,4]=>[4,7,2,8,1,5,6,3]=>0000000 [4,6,5,1,8,7,2,3]=>[3,2,7,8,1,5,6,4]=>0000000 [5,7,1,4,8,6,2,3]=>[3,2,6,8,4,1,7,5]=>0000000 [5,7,1,3,8,2,6,4]=>[4,6,2,8,3,1,7,5]=>0000000 [6,7,1,8,3,2,5,4]=>[4,5,2,3,8,1,7,6]=>0000000 [8,7,6,1,4,5,2,3]=>[3,2,5,4,1,6,7,8]=>0000111 [8,7,6,1,3,2,5,4]=>[4,5,2,3,1,6,7,8]=>0000111 [8,7,3,5,1,2,6,4]=>[4,6,2,1,5,3,7,8]=>0000011 [8,7,4,5,1,6,2,3]=>[3,2,6,1,5,4,7,8]=>0000011 [8,4,6,2,3,1,7,5]=>[5,7,1,3,2,6,4,8]=>0000001 [6,7,5,4,1,8,2,3]=>[3,2,8,1,4,5,7,6]=>0000000 [6,7,8,4,1,5,3,2]=>[2,3,5,1,4,8,7,6]=>0000100 [7,5,1,6,4,2,3,8]=>[8,3,2,4,6,1,5,7]=>0000000 [4,5,8,6,1,7,3,2]=>[2,3,7,1,6,8,5,4]=>0000000 [8,1,4,5,6,7,3,2]=>[2,3,7,6,5,4,1,8]=>0000001 [5,1,8,4,2,6,3,7]=>[7,3,6,2,4,8,1,5]=>0000000 [3,5,1,2,8,4,7,6]=>[6,7,4,8,2,1,5,3]=>0000000 [2,8,3,1,5,6,7,4]=>[4,7,6,5,1,3,8,2]=>0000000 [8,3,2,7,1,5,6,4]=>[4,6,5,1,7,2,3,8]=>0000001 [8,2,7,1,5,4,6,3]=>[3,6,4,5,1,7,2,8]=>0000001 [7,2,8,1,6,4,5,3]=>[3,5,4,6,1,8,2,7]=>0000000 [8,7,2,4,1,6,5,3]=>[3,5,6,1,4,2,7,8]=>0000011 [1,2,8,6,3,7,5,4]=>[4,5,7,3,6,8,2,1]=>0000000 [1,7,3,8,2,6,4,5]=>[5,4,6,2,8,3,7,1]=>0000000 [2,1,7,3,6,8,4,5]=>[5,4,8,6,3,7,1,2]=>0000000 [7,1,5,8,3,2,4,6]=>[6,4,2,3,8,5,1,7]=>0000000 [4,7,8,1,3,2,5,6]=>[6,5,2,3,1,8,7,4]=>0000000 [2,1,8,3,5,7,4,6]=>[6,4,7,5,3,8,1,2]=>0000000 [1,2,3,4,8,5,7,6]=>[6,7,5,8,4,3,2,1]=>0000000 [8,3,5,2,4,1,7,6]=>[6,7,1,4,2,5,3,8]=>0000001 [8,6,2,5,3,1,7,4]=>[4,7,1,3,5,2,6,8]=>0000001 [3,7,2,5,6,4,1,8]=>[8,1,4,6,5,2,7,3]=>0000000 [7,6,2,5,4,3,1,8]=>[8,1,3,4,5,2,6,7]=>0000000 [5,6,7,2,4,3,1,8]=>[8,1,3,4,2,7,6,5]=>0000000 [8,7,2,3,1,6,5,4]=>[4,5,6,1,3,2,7,8]=>0000011 [7,8,2,4,3,1,6,5]=>[5,6,1,3,4,2,8,7]=>0000010 [4,5,8,2,3,1,7,6]=>[6,7,1,3,2,8,5,4]=>0000000 [5,1,4,3,7,2,6,8]=>[8,6,2,7,3,4,1,5]=>0000000 [6,1,3,5,7,2,4,8]=>[8,4,2,7,5,3,1,6]=>0000000 [8,1,3,6,2,4,7,5]=>[5,7,4,2,6,3,1,8]=>0000001 [6,2,5,8,1,4,7,3]=>[3,7,4,1,8,5,2,6]=>0000000 [2,3,8,1,5,6,7,4]=>[4,7,6,5,1,8,3,2]=>0000000 [4,8,7,5,1,6,3,2]=>[2,3,6,1,5,7,8,4]=>0000000 [7,3,8,5,4,1,6,2]=>[2,6,1,4,5,8,3,7]=>0000000 [3,6,4,1,5,2,7,8]=>[8,7,2,5,1,4,6,3]=>0000000 [6,8,1,4,2,3,7,5]=>[5,7,3,2,4,1,8,6]=>0000000 [1,8,2,7,5,4,6,3]=>[3,6,4,5,7,2,8,1]=>0000000 [1,8,6,3,7,2,4,5]=>[5,4,2,7,3,6,8,1]=>0000000 [7,2,8,4,3,5,6,1]=>[1,6,5,3,4,8,2,7]=>1000000 [4,5,2,3,6,1,8,7]=>[7,8,1,6,3,2,5,4]=>0000000 [4,6,5,3,7,1,8,2]=>[2,8,1,7,3,5,6,4]=>0000000 [5,6,2,7,3,1,8,4]=>[4,8,1,3,7,2,6,5]=>0000000 [1,6,3,7,5,8,2,4]=>[4,2,8,5,7,3,6,1]=>0000000 [5,2,4,8,1,3,7,6]=>[6,7,3,1,8,4,2,5]=>0000000 [6,2,5,4,8,3,7,1]=>[1,7,3,8,4,5,2,6]=>1000000 [6,4,3,5,8,2,7,1]=>[1,7,2,8,5,3,4,6]=>1000000 [5,2,3,4,8,1,6,7]=>[7,6,1,8,4,3,2,5]=>0000000 [6,4,5,3,8,2,1,7]=>[7,1,2,8,3,5,4,6]=>0000000 [6,5,3,4,8,7,1,2]=>[2,1,7,8,4,3,5,6]=>0100000 [7,6,3,8,5,4,1,2]=>[2,1,4,5,8,3,6,7]=>0100000 [5,4,8,1,2,7,3,6]=>[6,3,7,2,1,8,4,5]=>0000000 [4,5,3,7,1,6,2,8]=>[8,2,6,1,7,3,5,4]=>0000000 [7,2,8,6,1,3,4,5]=>[5,4,3,1,6,8,2,7]=>0000000 [7,2,8,6,1,5,3,4]=>[4,3,5,1,6,8,2,7]=>0000000 [5,2,6,4,7,8,3,1]=>[1,3,8,7,4,6,2,5]=>1000000 [3,2,5,6,8,1,7,4]=>[4,7,1,8,6,5,2,3]=>0000000 [2,6,1,5,4,8,3,7]=>[7,3,8,4,5,1,6,2]=>0000000 [3,2,1,8,7,5,6,4]=>[4,6,5,7,8,1,2,3]=>0000000 [3,1,6,2,5,8,4,7]=>[7,4,8,5,2,6,1,3]=>0000000 [6,5,1,3,4,8,2,7]=>[7,2,8,4,3,1,5,6]=>0000000 [2,3,4,8,1,7,6,5]=>[5,6,7,1,8,4,3,2]=>0000000 [3,1,4,8,7,6,2,5]=>[5,2,6,7,8,4,1,3]=>0000000 [6,3,2,8,5,7,4,1]=>[1,4,7,5,8,2,3,6]=>1000000 [3,2,6,8,5,1,7,4]=>[4,7,1,5,8,6,2,3]=>0000000 [5,2,4,1,7,8,6,3]=>[3,6,8,7,1,4,2,5]=>0000000 [3,8,4,7,2,5,6,1]=>[1,6,5,2,7,4,8,3]=>1000000 [5,3,7,1,6,2,8,4]=>[4,8,2,6,1,7,3,5]=>0000000 [7,5,1,2,6,8,4,3]=>[3,4,8,6,2,1,5,7]=>0000000 [1,2,5,3,8,7,6,4]=>[4,6,7,8,3,5,2,1]=>0000000 [2,8,1,5,6,3,7,4]=>[4,7,3,6,5,1,8,2]=>0000000 [8,1,2,4,6,7,3,5]=>[5,3,7,6,4,2,1,8]=>0000001 [7,2,4,8,5,3,6,1]=>[1,6,3,5,8,4,2,7]=>1000000 [3,7,5,1,8,4,6,2]=>[2,6,4,8,1,5,7,3]=>0000000 [2,7,8,5,4,6,1,3]=>[3,1,6,4,5,8,7,2]=>0000000 [6,5,3,1,8,4,2,7]=>[7,2,4,8,1,3,5,6]=>0000000 [5,7,4,3,8,6,2,1]=>[1,2,6,8,3,4,7,5]=>1100000 [8,3,1,7,4,2,5,6]=>[6,5,2,4,7,1,3,8]=>0000001 [4,3,2,8,5,7,1,6]=>[6,1,7,5,8,2,3,4]=>0000000 [3,6,4,2,8,5,7,1]=>[1,7,5,8,2,4,6,3]=>1000000 [8,6,2,5,4,1,3,7]=>[7,3,1,4,5,2,6,8]=>0000001 [8,3,5,7,6,2,1,4]=>[4,1,2,6,7,5,3,8]=>0000001 [8,3,5,6,2,4,1,7]=>[7,1,4,2,6,5,3,8]=>0000001 [8,3,2,4,6,1,5,7]=>[7,5,1,6,4,2,3,8]=>0000001 [8,1,2,3,4,6,5,7]=>[7,5,6,4,3,2,1,8]=>0000001 [5,7,1,8,3,4,6,2]=>[2,6,4,3,8,1,7,5]=>0000000 [1,5,6,7,3,4,8,2]=>[2,8,4,3,7,6,5,1]=>0000000 [5,3,8,4,7,2,6,1]=>[1,6,2,7,4,8,3,5]=>1000000 [4,8,1,2,7,3,6,5]=>[5,6,3,7,2,1,8,4]=>0000000 [6,3,5,8,7,2,4,1]=>[1,4,2,7,8,5,3,6]=>1000000 [5,2,8,7,1,3,4,6]=>[6,4,3,1,7,8,2,5]=>0000000 [3,5,1,7,6,8,2,4]=>[4,2,8,6,7,1,5,3]=>0000000 [1,7,6,5,2,4,8,3]=>[3,8,4,2,5,6,7,1]=>0000000 [4,2,8,3,1,5,6,7]=>[7,6,5,1,3,8,2,4]=>0000000 [2,5,7,3,8,4,6,1]=>[1,6,4,8,3,7,5,2]=>1000000 [8,3,6,7,1,5,4,2]=>[2,4,5,1,7,6,3,8]=>0000001 [5,7,4,8,3,6,2,1]=>[1,2,6,3,8,4,7,5]=>1100000 [3,4,1,2,8,5,7,6]=>[6,7,5,8,2,1,4,3]=>0000000 [1,8,3,2,4,7,5,6]=>[6,5,7,4,2,3,8,1]=>0000000 [6,2,3,1,4,8,7,5]=>[5,7,8,4,1,3,2,6]=>0000000 [8,4,3,2,5,7,1,6]=>[6,1,7,5,2,3,4,8]=>0000001 [3,6,4,8,2,5,7,1]=>[1,7,5,2,8,4,6,3]=>1000000 [4,3,7,2,5,8,1,6]=>[6,1,8,5,2,7,3,4]=>0000000 [3,2,4,7,8,5,6,1]=>[1,6,5,8,7,4,2,3]=>1000000 [2,6,4,3,8,5,1,7]=>[7,1,5,8,3,4,6,2]=>0000000 [3,8,2,1,6,4,5,7]=>[7,5,4,6,1,2,8,3]=>0000000 [5,3,6,8,2,1,4,7]=>[7,4,1,2,8,6,3,5]=>0000000 [7,4,2,5,8,3,1,6]=>[6,1,3,8,5,2,4,7]=>0000000 [5,6,8,1,4,3,2,7]=>[7,2,3,4,1,8,6,5]=>0000000 [6,4,8,3,7,2,5,1]=>[1,5,2,7,3,8,4,6]=>1000000 [8,7,5,3,6,4,2,1]=>[1,2,4,6,3,5,7,8]=>1100011 [4,6,1,3,8,7,5,2]=>[2,5,7,8,3,1,6,4]=>0000000 [6,8,2,1,7,4,5,3]=>[3,5,4,7,1,2,8,6]=>0000000 [3,1,2,7,5,6,8,4]=>[4,8,6,5,7,2,1,3]=>0000000 [3,6,1,2,7,5,8,4]=>[4,8,5,7,2,1,6,3]=>0000000 [3,7,6,2,5,8,1,4]=>[4,1,8,5,2,6,7,3]=>0000000 [8,5,2,3,6,7,4,1]=>[1,4,7,6,3,2,5,8]=>1000001 [2,7,3,1,5,6,8,4]=>[4,8,6,5,1,3,7,2]=>0000000 [6,3,2,4,8,7,5,1]=>[1,5,7,8,4,2,3,6]=>1000000 [7,2,4,1,8,3,5,6]=>[6,5,3,8,1,4,2,7]=>0000000 [4,8,7,6,3,2,1,5]=>[5,1,2,3,6,7,8,4]=>0000000 [7,8,2,4,6,1,5,3]=>[3,5,1,6,4,2,8,7]=>0000010 [6,4,8,7,2,5,1,3]=>[3,1,5,2,7,8,4,6]=>0000000 [3,5,1,8,7,2,6,4]=>[4,6,2,7,8,1,5,3]=>0000000 [6,2,1,3,8,7,5,4]=>[4,5,7,8,3,1,2,6]=>0000000 [5,6,1,2,8,7,4,3]=>[3,4,7,8,2,1,6,5]=>0000000 [2,7,6,8,1,5,4,3]=>[3,4,5,1,8,6,7,2]=>0000000 [6,7,8,1,2,5,4,3]=>[3,4,5,2,1,8,7,6]=>0000100 [8,6,4,3,2,1,7,5]=>[5,7,1,2,3,4,6,8]=>0000001 [6,5,4,3,8,2,7,1]=>[1,7,2,8,3,4,5,6]=>1000000 [7,5,4,3,2,8,6,1]=>[1,6,8,2,3,4,5,7]=>1000000 [8,4,3,2,1,7,6,5]=>[5,6,7,1,2,3,4,8]=>0000001 [3,7,5,8,1,4,6,2]=>[2,6,4,1,8,5,7,3]=>0000000 [5,7,2,4,6,8,1,3]=>[3,1,8,6,4,2,7,5]=>0000000 [2,7,5,4,3,8,1,6]=>[6,1,8,3,4,5,7,2]=>0000000 [8,6,4,2,3,7,5,1]=>[1,5,7,3,2,4,6,8]=>1000001 [5,4,2,7,3,1,6,8]=>[8,6,1,3,7,2,4,5]=>0000000 [3,1,2,4,8,7,6,5]=>[5,6,7,8,4,2,1,3]=>0000000 [6,5,8,7,3,1,2,4]=>[4,2,1,3,7,8,5,6]=>0001000 [5,6,7,8,1,4,2,3]=>[3,2,4,1,8,7,6,5]=>0001000 [7,3,8,4,1,2,6,5]=>[5,6,2,1,4,8,3,7]=>0000000 [6,8,3,2,7,1,5,4]=>[4,5,1,7,2,3,8,6]=>0000000 [6,7,3,1,4,2,8,5]=>[5,8,2,4,1,3,7,6]=>0000000 [2,7,8,3,4,5,1,6]=>[6,1,5,4,3,8,7,2]=>0000000 [3,7,1,2,4,6,5,8]=>[8,5,6,4,2,1,7,3]=>0000000 [5,8,6,7,1,2,3,4]=>[4,3,2,1,7,6,8,5]=>0001000 [5,4,1,7,3,6,8,2]=>[2,8,6,3,7,1,4,5]=>0000000 [3,4,7,6,2,5,8,1]=>[1,8,5,2,6,7,4,3]=>1000000 [5,7,6,3,1,4,8,2]=>[2,8,4,1,3,6,7,5]=>0000000 [4,8,3,6,5,2,1,7]=>[7,1,2,5,6,3,8,4]=>0000000 [1,5,2,7,8,4,6,3]=>[3,6,4,8,7,2,5,1]=>0000000 [7,1,4,5,8,6,2,3]=>[3,2,6,8,5,4,1,7]=>0000000 [7,4,6,1,8,2,3,5]=>[5,3,2,8,1,6,4,7]=>0000000 [5,7,6,8,4,2,1,3]=>[3,1,2,4,8,6,7,5]=>0011000 [5,1,6,8,4,2,7,3]=>[3,7,2,4,8,6,1,5]=>0000000 [5,6,8,4,7,3,2,1]=>[1,2,3,7,4,8,6,5]=>1110000 [3,6,4,8,5,1,2,7]=>[7,2,1,5,8,4,6,3]=>0000000 [7,4,3,8,2,6,5,1]=>[1,5,6,2,8,3,4,7]=>1000000 [7,5,8,6,3,4,2,1]=>[1,2,4,3,6,8,5,7]=>1101000 [5,7,8,3,1,6,4,2]=>[2,4,6,1,3,8,7,5]=>0000000 [7,6,8,3,2,5,4,1]=>[1,4,5,2,3,8,6,7]=>1000100 [7,5,8,3,2,4,1,6]=>[6,1,4,2,3,8,5,7]=>0000000 [8,7,1,3,5,4,6,2]=>[2,6,4,5,3,1,7,8]=>0000011 [7,1,8,3,4,2,6,5]=>[5,6,2,4,3,8,1,7]=>0000000 [7,6,8,3,1,4,5,2]=>[2,5,4,1,3,8,6,7]=>0000100 [6,4,1,8,2,5,7,3]=>[3,7,5,2,8,1,4,6]=>0000000 [6,8,5,2,3,4,1,7]=>[7,1,4,3,2,5,8,6]=>0000000 [2,6,8,7,1,5,3,4]=>[4,3,5,1,7,8,6,2]=>0000000 [3,7,2,4,8,5,1,6]=>[6,1,5,8,4,2,7,3]=>0000000 [7,4,3,2,8,5,1,6]=>[6,1,5,8,2,3,4,7]=>0000000 [5,3,2,8,4,6,1,7]=>[7,1,6,4,8,2,3,5]=>0000000 [1,5,2,6,3,8,7,4]=>[4,7,8,3,6,2,5,1]=>0000000 [1,3,6,2,4,8,7,5]=>[5,7,8,4,2,6,3,1]=>0000000 [1,5,3,2,8,4,7,6]=>[6,7,4,8,2,3,5,1]=>0000000 [3,8,4,7,5,1,2,6]=>[6,2,1,5,7,4,8,3]=>0000000 [2,1,7,3,4,8,6,5]=>[5,6,8,4,3,7,1,2]=>0000000 [5,1,3,2,8,7,4,6]=>[6,4,7,8,2,3,1,5]=>0000000 [1,8,3,7,2,6,5,4]=>[4,5,6,2,7,3,8,1]=>0000000 [5,1,4,8,3,7,2,6]=>[6,2,7,3,8,4,1,5]=>0000000 [8,3,1,6,7,2,5,4]=>[4,5,2,7,6,1,3,8]=>0000001 [4,8,3,7,1,5,2,6]=>[6,2,5,1,7,3,8,4]=>0000000 [1,5,4,8,3,2,7,6]=>[6,7,2,3,8,4,5,1]=>0000000 [5,4,7,1,3,2,6,8]=>[8,6,2,3,1,7,4,5]=>0000000 [5,7,4,8,2,1,3,6]=>[6,3,1,2,8,4,7,5]=>0000000 [5,3,7,2,1,4,6,8]=>[8,6,4,1,2,7,3,5]=>0000000 [7,4,8,5,1,6,3,2]=>[2,3,6,1,5,8,4,7]=>0000000 [5,8,3,6,1,7,4,2]=>[2,4,7,1,6,3,8,5]=>0000000 [8,6,4,2,1,7,5,3]=>[3,5,7,1,2,4,6,8]=>0000001 [7,4,2,1,5,8,6,3]=>[3,6,8,5,1,2,4,7]=>0000000 [7,6,4,1,8,5,2,3]=>[3,2,5,8,1,4,6,7]=>0000000 [6,3,1,2,8,4,7,5]=>[5,7,4,8,2,1,3,6]=>0000000 [6,8,4,1,2,7,5,3]=>[3,5,7,2,1,4,8,6]=>0000000 [7,5,8,1,2,6,4,3]=>[3,4,6,2,1,8,5,7]=>0000000 [6,4,1,8,3,2,7,5]=>[5,7,2,3,8,1,4,6]=>0000000 [1,4,8,7,2,6,5,3]=>[3,5,6,2,7,8,4,1]=>0000000 [5,4,1,8,7,3,2,6]=>[6,2,3,7,8,1,4,5]=>0000000 [2,6,8,1,3,7,5,4]=>[4,5,7,3,1,8,6,2]=>0000000 [6,2,8,3,1,7,5,4]=>[4,5,7,1,3,8,2,6]=>0000000 [7,4,3,8,5,2,1,6]=>[6,1,2,5,8,3,4,7]=>0000000 [6,5,2,8,4,3,1,7]=>[7,1,3,4,8,2,5,6]=>0000000 [4,3,8,7,5,1,6,2]=>[2,6,1,5,7,8,3,4]=>0000000 [5,2,6,8,4,1,3,7]=>[7,3,1,4,8,6,2,5]=>0000000 [5,6,2,8,3,4,1,7]=>[7,1,4,3,8,2,6,5]=>0000000 [5,3,8,7,4,1,6,2]=>[2,6,1,4,7,8,3,5]=>0000000 [6,4,2,8,5,3,1,7]=>[7,1,3,5,8,2,4,6]=>0000000 [8,7,4,3,6,2,5,1]=>[1,5,2,6,3,4,7,8]=>1000011 [8,6,5,3,7,2,4,1]=>[1,4,2,7,3,5,6,8]=>1000001 [7,6,4,3,8,2,5,1]=>[1,5,2,8,3,4,6,7]=>1000000 [7,5,4,3,8,2,6,1]=>[1,6,2,8,3,4,5,7]=>1000000 [6,4,5,3,8,2,7,1]=>[1,7,2,8,3,5,4,6]=>1000000 [7,4,5,3,8,2,6,1]=>[1,6,2,8,3,5,4,7]=>1000000 [7,4,6,3,8,2,5,1]=>[1,5,2,8,3,6,4,7]=>1000000 [7,5,6,3,8,2,4,1]=>[1,4,2,8,3,6,5,7]=>1000000 [8,5,6,3,7,2,4,1]=>[1,4,2,7,3,6,5,8]=>1000001 [8,4,6,3,7,2,5,1]=>[1,5,2,7,3,6,4,8]=>1000001 [7,4,6,3,5,2,8,1]=>[1,8,2,5,3,6,4,7]=>1000000 [8,4,6,3,5,2,7,1]=>[1,7,2,5,3,6,4,8]=>1000001 [8,4,7,3,5,2,6,1]=>[1,6,2,5,3,7,4,8]=>1000001 [8,5,7,3,4,2,6,1]=>[1,6,2,4,3,7,5,8]=>1000001 [7,5,8,4,3,2,6,1]=>[1,6,2,3,4,8,5,7]=>1000000 [6,5,8,3,4,2,7,1]=>[1,7,2,4,3,8,5,6]=>1000000 [7,5,8,3,4,2,6,1]=>[1,6,2,4,3,8,5,7]=>1000000 [7,6,8,3,5,2,4,1]=>[1,4,2,5,3,8,6,7]=>1000100 [7,5,8,4,6,2,3,1]=>[1,3,2,6,4,8,5,7]=>1010000 [7,5,8,3,6,2,4,1]=>[1,4,2,6,3,8,5,7]=>1000000 [7,4,8,3,6,2,5,1]=>[1,5,2,6,3,8,4,7]=>1000000 [7,4,8,3,5,2,6,1]=>[1,6,2,5,3,8,4,7]=>1000000 [6,4,8,3,5,2,7,1]=>[1,7,2,5,3,8,4,6]=>1000000 [6,4,7,3,5,2,8,1]=>[1,8,2,5,3,7,4,6]=>1000000 [5,4,7,3,6,2,8,1]=>[1,8,2,6,3,7,4,5]=>1000000 [5,4,8,3,7,2,6,1]=>[1,6,2,7,3,8,4,5]=>1000000 [6,5,8,3,7,2,4,1]=>[1,4,2,7,3,8,5,6]=>1000000 [6,5,8,4,7,2,3,1]=>[1,3,2,7,4,8,5,6]=>1010000 [6,5,8,4,7,3,2,1]=>[1,2,3,7,4,8,5,6]=>1110000 [6,5,7,3,8,2,4,1]=>[1,4,2,8,3,7,5,6]=>1000000 [6,4,7,3,8,2,5,1]=>[1,5,2,8,3,7,4,6]=>1000000 [5,4,7,3,8,2,6,1]=>[1,6,2,8,3,7,4,5]=>1000000 [5,4,6,3,8,2,7,1]=>[1,7,2,8,3,6,4,5]=>1000000 [6,5,3,7,8,2,1,4]=>[4,1,2,8,7,3,5,6]=>0000000 [6,5,4,2,8,7,1,3]=>[3,1,7,8,2,4,5,6]=>0000000 [5,8,4,1,2,7,3,6]=>[6,3,7,2,1,4,8,5]=>0000000 [5,4,8,1,2,3,7,6]=>[6,7,3,2,1,8,4,5]=>0000000 [5,8,1,7,4,2,3,6]=>[6,3,2,4,7,1,8,5]=>0000000 [4,3,2,8,1,7,6,5]=>[5,6,7,1,8,2,3,4]=>0000000 [4,7,5,1,2,8,3,6]=>[6,3,8,2,1,5,7,4]=>0000000 [2,3,6,7,4,1,8,5]=>[5,8,1,4,7,6,3,2]=>0000000 [4,1,3,2,8,7,5,6]=>[6,5,7,8,2,3,1,4]=>0000000 [4,3,1,2,8,5,7,6]=>[6,7,5,8,2,1,3,4]=>0000000 [3,7,6,8,4,2,1,5]=>[5,1,2,4,8,6,7,3]=>0000000 [2,4,6,8,3,1,7,5]=>[5,7,1,3,8,6,4,2]=>0000000 [2,4,6,3,8,1,7,5]=>[5,7,1,8,3,6,4,2]=>0000000 [4,7,1,5,8,2,3,6]=>[6,3,2,8,5,1,7,4]=>0000000 [2,4,3,6,1,8,7,5]=>[5,7,8,1,6,3,4,2]=>0000000 [2,6,7,3,8,4,1,5]=>[5,1,4,8,3,7,6,2]=>0000000 [1,3,5,2,7,6,8,4]=>[4,8,6,7,2,5,3,1]=>0000000 [1,3,5,7,6,2,4,8]=>[8,4,2,6,7,5,3,1]=>0000000 [1,3,5,7,8,4,6,2]=>[2,6,4,8,7,5,3,1]=>0000000 [1,3,5,7,8,6,2,4]=>[4,2,6,8,7,5,3,1]=>0000000 [2,3,6,1,7,8,5,4]=>[4,5,8,7,1,6,3,2]=>0000000 [2,3,6,7,4,8,5,1]=>[1,5,8,4,7,6,3,2]=>1000000 [2,3,6,8,4,5,1,7]=>[7,1,5,4,8,6,3,2]=>0000000 [2,5,7,3,4,8,6,1]=>[1,6,8,4,3,7,5,2]=>1000000 [2,6,7,3,4,8,5,1]=>[1,5,8,4,3,7,6,2]=>1000000 [5,1,4,6,8,2,3,7]=>[7,3,2,8,6,4,1,5]=>0000000 [5,3,2,7,4,6,1,8]=>[8,1,6,4,7,2,3,5]=>0000000 [4,1,2,5,8,3,7,6]=>[6,7,3,8,5,2,1,4]=>0000000 [2,4,1,5,8,6,3,7]=>[7,3,6,8,5,1,4,2]=>0000000 [4,6,1,2,5,8,3,7]=>[7,3,8,5,2,1,6,4]=>0000000 [4,1,7,2,6,5,8,3]=>[3,8,5,6,2,7,1,4]=>0000000 [5,6,7,2,1,4,8,3]=>[3,8,4,1,2,7,6,5]=>0000000 [6,4,5,7,1,3,8,2]=>[2,8,3,1,7,5,4,6]=>0000000 [5,7,6,8,1,4,2,3]=>[3,2,4,1,8,6,7,5]=>0001000 [4,1,6,2,8,5,7,3]=>[3,7,5,8,2,6,1,4]=>0000000 [6,4,2,1,3,8,7,5]=>[5,7,8,3,1,2,4,6]=>0000000 [8,1,2,3,4,6,7,5]=>[5,7,6,4,3,2,1,8]=>0000001 [2,7,8,4,6,3,1,5]=>[5,1,3,6,4,8,7,2]=>0000000 [6,3,7,5,1,8,2,4]=>[4,2,8,1,5,7,3,6]=>0000000 [2,8,6,4,3,7,1,5]=>[5,1,7,3,4,6,8,2]=>0000000 [5,8,4,6,1,7,2,3]=>[3,2,7,1,6,4,8,5]=>0000000 [1,5,8,7,2,6,4,3]=>[3,4,6,2,7,8,5,1]=>0000000 [2,5,8,7,3,6,1,4]=>[4,1,6,3,7,8,5,2]=>0000000 [4,5,8,7,3,2,1,6]=>[6,1,2,3,7,8,5,4]=>0000000 [2,6,8,3,7,5,1,4]=>[4,1,5,7,3,8,6,2]=>0000000 [1,6,8,4,7,2,5,3]=>[3,5,2,7,4,8,6,1]=>0000000 [1,6,8,3,7,2,5,4]=>[4,5,2,7,3,8,6,1]=>0000000 [3,2,8,4,7,6,1,5]=>[5,1,6,7,4,8,2,3]=>0000000 [1,5,8,4,7,2,6,3]=>[3,6,2,7,4,8,5,1]=>0000000 [3,1,8,4,7,2,6,5]=>[5,6,2,7,4,8,1,3]=>0000000 [1,6,8,4,2,7,5,3]=>[3,5,7,2,4,8,6,1]=>0000000 [1,6,8,2,3,7,5,4]=>[4,5,7,3,2,8,6,1]=>0000000 [5,6,8,4,1,2,7,3]=>[3,7,2,1,4,8,6,5]=>0000000 [7,1,4,8,6,2,5,3]=>[3,5,2,6,8,4,1,7]=>0000000 [7,3,4,8,6,2,1,5]=>[5,1,2,6,8,4,3,7]=>0000000 [7,1,5,8,2,6,4,3]=>[3,4,6,2,8,5,1,7]=>0000000 [7,1,4,8,2,6,5,3]=>[3,5,6,2,8,4,1,7]=>0000000 [7,2,4,8,3,6,1,5]=>[5,1,6,3,8,4,2,7]=>0000000 [3,6,2,8,7,5,1,4]=>[4,1,5,7,8,2,6,3]=>0000000 [1,4,5,8,7,2,6,3]=>[3,6,2,7,8,5,4,1]=>0000000 [3,1,4,8,7,2,6,5]=>[5,6,2,7,8,4,1,3]=>0000000 [1,6,5,8,2,7,4,3]=>[3,4,7,2,8,5,6,1]=>0000000 [2,6,5,8,3,7,1,4]=>[4,1,7,3,8,5,6,2]=>0000000 [4,6,5,8,3,2,1,7]=>[7,1,2,3,8,5,6,4]=>0000000 [7,6,2,3,8,5,1,4]=>[4,1,5,8,3,2,6,7]=>0000000 [7,6,1,3,8,2,5,4]=>[4,5,2,8,3,1,6,7]=>0000000 [7,2,5,3,8,6,1,4]=>[4,1,6,8,3,5,2,7]=>0000000 [7,2,3,4,8,6,1,5]=>[5,1,6,8,4,3,2,7]=>0000000 [2,6,1,4,8,7,5,3]=>[3,5,7,8,4,1,6,2]=>0000000 [1,6,5,4,8,2,7,3]=>[3,7,2,8,4,5,6,1]=>0000000 [1,3,5,4,8,2,7,6]=>[6,7,2,8,4,5,3,1]=>0000000 [7,6,5,2,3,8,1,4]=>[4,1,8,3,2,5,6,7]=>0000000 [7,6,1,4,2,8,5,3]=>[3,5,8,2,4,1,6,7]=>0000000 [7,6,1,2,3,8,5,4]=>[4,5,8,3,2,1,6,7]=>0000000 [7,1,5,4,2,8,6,3]=>[3,6,8,2,4,5,1,7]=>0000000 [1,6,2,4,3,8,7,5]=>[5,7,8,3,4,2,6,1]=>0000000 [2,6,5,4,3,8,1,7]=>[7,1,8,3,4,5,6,2]=>0000000 [7,2,1,8,6,5,4,3]=>[3,4,5,6,8,1,2,7]=>0000000 [4,8,5,7,6,3,2,1]=>[1,2,3,6,7,5,8,4]=>1110000 [3,5,7,2,4,6,8,1]=>[1,8,6,4,2,7,5,3]=>1000000 [5,2,4,6,8,1,3,7]=>[7,3,1,8,6,4,2,5]=>0000000 [5,7,1,3,4,8,2,6]=>[6,2,8,4,3,1,7,5]=>0000000 [5,7,1,3,4,6,8,2]=>[2,8,6,4,3,1,7,5]=>0000000 [3,5,6,4,1,7,8,2]=>[2,8,7,1,4,6,5,3]=>0000000 [2,6,7,4,5,8,1,3]=>[3,1,8,5,4,7,6,2]=>0000000 [1,4,6,7,3,8,2,5]=>[5,2,8,3,7,6,4,1]=>0000000 [5,3,6,1,2,7,8,4]=>[4,8,7,2,1,6,3,5]=>0000000 [3,5,2,6,7,4,8,1]=>[1,8,4,7,6,2,5,3]=>1000000 [5,2,6,1,3,7,8,4]=>[4,8,7,3,1,6,2,5]=>0000000 [6,3,1,7,8,2,4,5]=>[5,4,2,8,7,1,3,6]=>0000000 [5,7,2,8,1,3,4,6]=>[6,4,3,1,8,2,7,5]=>0000000 [4,2,6,7,3,5,8,1]=>[1,8,5,3,7,6,2,4]=>1000000 [3,5,7,2,6,8,1,4]=>[4,1,8,6,2,7,5,3]=>0000000 [6,3,5,7,2,4,8,1]=>[1,8,4,2,7,5,3,6]=>1000000 [6,2,4,5,1,7,8,3]=>[3,8,7,1,5,4,2,6]=>0000000 [2,4,7,1,5,6,8,3]=>[3,8,6,5,1,7,4,2]=>0000000 [3,7,1,5,6,8,2,4]=>[4,2,8,6,5,1,7,3]=>0000000 [2,6,7,5,8,1,3,4]=>[4,3,1,8,5,7,6,2]=>0000000 [5,6,2,4,1,7,8,3]=>[3,8,7,1,4,2,6,5]=>0000000 [1,5,4,6,2,7,8,3]=>[3,8,7,2,6,4,5,1]=>0000000 [8,4,5,2,6,1,3,7]=>[7,3,1,6,2,5,4,8]=>0000001 [6,4,3,7,2,5,8,1]=>[1,8,5,2,7,3,4,6]=>1000000 [6,4,3,7,2,8,1,5]=>[5,1,8,2,7,3,4,6]=>0000000 [6,7,3,4,1,5,8,2]=>[2,8,5,1,4,3,7,6]=>0000000 [6,7,4,2,1,5,8,3]=>[3,8,5,1,2,4,7,6]=>0000000 [6,7,4,2,1,8,3,5]=>[5,3,8,1,2,4,7,6]=>0000000 [5,6,7,3,1,8,2,4]=>[4,2,8,1,3,7,6,5]=>0000000 [5,6,7,2,3,8,1,4]=>[4,1,8,3,2,7,6,5]=>0000000 [7,6,3,4,1,2,8,5]=>[5,8,2,1,4,3,6,7]=>0000000 [7,6,3,2,4,1,8,5]=>[5,8,1,4,2,3,6,7]=>0000000 [7,5,3,2,6,1,8,4]=>[4,8,1,6,2,3,5,7]=>0000000 [6,7,3,2,5,1,8,4]=>[4,8,1,5,2,3,7,6]=>0000000 [6,5,3,2,7,8,1,4]=>[4,1,8,7,2,3,5,6]=>0000000 [6,4,5,2,7,3,8,1]=>[1,8,3,7,2,5,4,6]=>1000000 [6,4,7,2,5,1,8,3]=>[3,8,1,5,2,7,4,6]=>0000000 [7,5,6,2,1,3,8,4]=>[4,8,3,1,2,6,5,7]=>0000000 [6,4,7,5,1,2,8,3]=>[3,8,2,1,5,7,4,6]=>0000000 [5,6,4,2,7,8,1,3]=>[3,1,8,7,2,4,6,5]=>0000000 [5,6,4,2,7,3,8,1]=>[1,8,3,7,2,4,6,5]=>1000000 [6,4,5,7,1,8,2,3]=>[3,2,8,1,7,5,4,6]=>0000000 [6,5,3,7,1,8,2,4]=>[4,2,8,1,7,3,5,6]=>0000000 [6,5,7,2,1,8,3,4]=>[4,3,8,1,2,7,5,6]=>0000000 [1,7,8,5,6,3,4,2]=>[2,4,3,6,5,8,7,1]=>0000000 [1,7,5,8,6,3,4,2]=>[2,4,3,6,8,5,7,1]=>0000000 [7,3,5,8,6,4,1,2]=>[2,1,4,6,8,5,3,7]=>0100000 [3,5,7,8,1,6,4,2]=>[2,4,6,1,8,7,5,3]=>0000000 [7,3,8,5,6,1,4,2]=>[2,4,1,6,5,8,3,7]=>0000000 [7,1,5,8,6,3,4,2]=>[2,4,3,6,8,5,1,7]=>0000000 [5,1,7,8,6,3,4,2]=>[2,4,3,6,8,7,1,5]=>0000000 [7,1,5,8,3,6,4,2]=>[2,4,6,3,8,5,1,7]=>0000000 [7,3,8,5,1,6,4,2]=>[2,4,6,1,5,8,3,7]=>0000000 [7,3,5,8,1,6,4,2]=>[2,4,6,1,8,5,3,7]=>0000000 [7,3,5,1,8,6,4,2]=>[2,4,6,8,1,5,3,7]=>0000000 [1,7,5,3,8,6,4,2]=>[2,4,6,8,3,5,7,1]=>0000000 [3,7,5,1,8,6,4,2]=>[2,4,6,8,1,5,7,3]=>0000000 [3,7,5,8,1,6,4,2]=>[2,4,6,1,8,5,7,3]=>0000000 [1,7,5,8,3,6,4,2]=>[2,4,6,3,8,5,7,1]=>0000000 [1,7,8,5,3,6,4,2]=>[2,4,6,3,5,8,7,1]=>0000000 [5,7,8,1,6,3,4,2]=>[2,4,3,6,1,8,7,5]=>0000000 [1,7,8,3,5,6,4,2]=>[2,4,6,5,3,8,7,1]=>0000000 [7,5,1,8,6,3,4,2]=>[2,4,3,6,8,1,5,7]=>0000000 [7,5,8,1,3,6,4,2]=>[2,4,6,3,1,8,5,7]=>0000000 [7,3,1,5,8,6,4,2]=>[2,4,6,8,5,1,3,7]=>0000000 [7,3,1,8,5,6,4,2]=>[2,4,6,5,8,1,3,7]=>0000000 [5,1,3,7,8,6,4,2]=>[2,4,6,8,7,3,1,5]=>0000000 [4,3,1,2,6,5,8,7]=>[7,8,5,6,2,1,3,4]=>0000000 [5,4,7,8,6,1,3,2]=>[2,3,1,6,8,7,4,5]=>0010000 [7,5,6,2,8,3,1,4]=>[4,1,3,8,2,6,5,7]=>0000000 [4,6,3,5,1,2,8,7]=>[7,8,2,1,5,3,6,4]=>0000000 [2,3,6,1,5,4,8,7]=>[7,8,4,5,1,6,3,2]=>0000000 [2,1,6,5,3,4,8,7]=>[7,8,4,3,5,6,1,2]=>0000000 [3,5,6,2,4,1,8,7]=>[7,8,1,4,2,6,5,3]=>0000000 [8,7,6,1,3,2,4,5]=>[5,4,2,3,1,6,7,8]=>0000111 [5,4,7,6,2,8,1,3]=>[3,1,8,2,6,7,4,5]=>0000000 [3,7,8,1,5,4,6,2]=>[2,6,4,5,1,8,7,3]=>0000000 [5,8,7,1,4,6,2,3]=>[3,2,6,4,1,7,8,5]=>0000000 [4,7,6,1,8,3,5,2]=>[2,5,3,8,1,6,7,4]=>0000000 [2,1,6,8,5,7,3,4]=>[4,3,7,5,8,6,1,2]=>0000000 [4,7,8,6,3,1,2,5]=>[5,2,1,3,6,8,7,4]=>0000000 [8,2,3,5,7,1,6,4]=>[4,6,1,7,5,3,2,8]=>0000001 [2,8,3,6,7,5,1,4]=>[4,1,5,7,6,3,8,2]=>0000000 [6,8,4,2,1,3,7,5]=>[5,7,3,1,2,4,8,6]=>0000000 [4,3,8,2,7,6,1,5]=>[5,1,6,7,2,8,3,4]=>0000000 [2,1,4,5,8,3,7,6]=>[6,7,3,8,5,4,1,2]=>0000000 [8,4,7,1,5,2,3,6]=>[6,3,2,5,1,7,4,8]=>0000001 [2,4,8,3,5,6,7,1]=>[1,7,6,5,3,8,4,2]=>1000000 [2,1,4,3,8,7,5,6]=>[6,5,7,8,3,4,1,2]=>0000000 [4,3,1,2,8,6,7,5]=>[5,7,6,8,2,1,3,4]=>0000000 [5,1,6,7,8,4,3,2]=>[2,3,4,8,7,6,1,5]=>0000000 [6,7,5,2,3,1,8,4]=>[4,8,1,3,2,5,7,6]=>0000000 [4,7,2,6,5,1,8,3]=>[3,8,1,5,6,2,7,4]=>0000000 [6,4,2,1,8,5,7,3]=>[3,7,5,8,1,2,4,6]=>0000000 [2,1,5,7,8,4,6,3]=>[3,6,4,8,7,5,1,2]=>0000000 [2,5,7,8,3,6,1,4]=>[4,1,6,3,8,7,5,2]=>0000000 [7,1,4,8,3,5,6,2]=>[2,6,5,3,8,4,1,7]=>0000000 [6,5,3,8,4,7,1,2]=>[2,1,7,4,8,3,5,6]=>0100000 [1,6,3,7,5,8,4,2]=>[2,4,8,5,7,3,6,1]=>0000000 [1,3,7,4,5,8,6,2]=>[2,6,8,5,4,7,3,1]=>0000000 [7,3,8,5,4,6,1,2]=>[2,1,6,4,5,8,3,7]=>0100000 [4,7,3,8,5,6,1,2]=>[2,1,6,5,8,3,7,4]=>0100000 [2,7,6,3,1,4,5,8]=>[8,5,4,1,3,6,7,2]=>0000000 [2,7,6,4,5,1,3,8]=>[8,3,1,5,4,6,7,2]=>0000000 [5,7,2,6,4,1,3,8]=>[8,3,1,4,6,2,7,5]=>0000000 [2,1,7,4,8,6,3,5]=>[5,3,6,8,4,7,1,2]=>0000000 [2,1,3,8,4,7,5,6]=>[6,5,7,4,8,3,1,2]=>0000000 [3,1,2,8,4,6,7,5]=>[5,7,6,4,8,2,1,3]=>0000000 [5,1,2,4,8,3,7,6]=>[6,7,3,8,4,2,1,5]=>0000000 [2,8,4,1,5,6,3,7]=>[7,3,6,5,1,4,8,2]=>0000000 [1,7,2,8,5,3,6,4]=>[4,6,3,5,8,2,7,1]=>0000000 [1,2,3,8,4,5,7,6]=>[6,7,5,4,8,3,2,1]=>0000000 [2,4,8,3,1,5,6,7]=>[7,6,5,1,3,8,4,2]=>0000000 [3,2,5,6,1,4,7,8]=>[8,7,4,1,6,5,2,3]=>0000000 [4,7,3,8,2,1,5,6]=>[6,5,1,2,8,3,7,4]=>0000000 [7,4,8,3,2,1,5,6]=>[6,5,1,2,3,8,4,7]=>0000000 [5,2,7,3,1,4,6,8]=>[8,6,4,1,3,7,2,5]=>0000000 [8,3,7,2,1,5,4,6]=>[6,4,5,1,2,7,3,8]=>0000001 [6,5,3,8,2,1,4,7]=>[7,4,1,2,8,3,5,6]=>0000000 [7,6,2,1,8,5,3,4]=>[4,3,5,8,1,2,6,7]=>0000000 [1,7,5,8,6,4,3,2]=>[2,3,4,6,8,5,7,1]=>0000000 [6,5,1,2,8,3,7,4]=>[4,7,3,8,2,1,5,6]=>0000000 [6,8,4,1,3,7,5,2]=>[2,5,7,3,1,4,8,6]=>0000000 [6,3,7,1,8,4,5,2]=>[2,5,4,8,1,7,3,6]=>0000000 [4,7,1,2,8,3,6,5]=>[5,6,3,8,2,1,7,4]=>0000000 [3,4,1,8,5,6,7,2]=>[2,7,6,5,8,1,4,3]=>0000000 [8,3,1,7,5,4,6,2]=>[2,6,4,5,7,1,3,8]=>0000001 [2,3,1,8,7,4,5,6]=>[6,5,4,7,8,1,3,2]=>0000000 [6,2,7,1,8,5,3,4]=>[4,3,5,8,1,7,2,6]=>0000000 [1,2,3,8,6,4,5,7]=>[7,5,4,6,8,3,2,1]=>0000000 [2,4,7,5,6,8,3,1]=>[1,3,8,6,5,7,4,2]=>1000000 [2,8,5,7,4,6,3,1]=>[1,3,6,4,7,5,8,2]=>1000000 [8,3,5,7,4,2,6,1]=>[1,6,2,4,7,5,3,8]=>1000001 [2,7,5,8,4,6,3,1]=>[1,3,6,4,8,5,7,2]=>1000000 [2,7,6,4,5,8,3,1]=>[1,3,8,5,4,6,7,2]=>1000000 [3,1,7,6,4,5,2,8]=>[8,2,5,4,6,7,1,3]=>0000000 [6,3,8,7,5,2,4,1]=>[1,4,2,5,7,8,3,6]=>1000000 [7,3,5,8,4,2,6,1]=>[1,6,2,4,8,5,3,7]=>1000000 [7,8,3,6,2,5,4,1]=>[1,4,5,2,6,3,8,7]=>1000010 [7,4,8,2,1,6,3,5]=>[5,3,6,1,2,8,4,7]=>0000000 [7,8,5,2,1,4,3,6]=>[6,3,4,1,2,5,8,7]=>0000010 [7,4,6,2,3,8,1,5]=>[5,1,8,3,2,6,4,7]=>0000000 [5,7,1,3,4,6,2,8]=>[8,2,6,4,3,1,7,5]=>0000000 [5,6,1,2,4,3,8,7]=>[7,8,3,4,2,1,6,5]=>0000000 [3,6,8,1,2,7,5,4]=>[4,5,7,2,1,8,6,3]=>0000000 [8,4,6,2,1,3,7,5]=>[5,7,3,1,2,6,4,8]=>0000001 [5,4,8,7,2,3,6,1]=>[1,6,3,2,7,8,4,5]=>1000000 [5,4,8,7,3,1,2,6]=>[6,2,1,3,7,8,4,5]=>0000000 [6,4,3,8,1,5,2,7]=>[7,2,5,1,8,3,4,6]=>0000000 [6,8,3,7,2,5,4,1]=>[1,4,5,2,7,3,8,6]=>1000000 [5,3,6,8,7,2,4,1]=>[1,4,2,7,8,6,3,5]=>1000000 [5,4,6,8,2,3,7,1]=>[1,7,3,2,8,6,4,5]=>1000000 [6,4,7,2,1,8,3,5]=>[5,3,8,1,2,7,4,6]=>0000000 [6,5,3,4,1,2,8,7]=>[7,8,2,1,4,3,5,6]=>0000000 [6,5,3,1,4,7,2,8]=>[8,2,7,4,1,3,5,6]=>0000000 [2,6,8,4,5,7,1,3]=>[3,1,7,5,4,8,6,2]=>0000000 [1,7,4,8,6,2,3,5]=>[5,3,2,6,8,4,7,1]=>0000000 [6,3,7,2,8,5,1,4]=>[4,1,5,8,2,7,3,6]=>0000000 [5,2,7,4,6,8,1,3]=>[3,1,8,6,4,7,2,5]=>0000000 [6,2,7,3,1,5,8,4]=>[4,8,5,1,3,7,2,6]=>0000000 [6,3,4,1,8,5,7,2]=>[2,7,5,8,1,4,3,6]=>0000000 [4,5,3,2,7,1,8,6]=>[6,8,1,7,2,3,5,4]=>0000000 [3,6,4,8,1,5,7,2]=>[2,7,5,1,8,4,6,3]=>0000000 [4,5,8,3,1,7,6,2]=>[2,6,7,1,3,8,5,4]=>0000000 [4,6,3,5,2,1,8,7]=>[7,8,1,2,5,3,6,4]=>0000000 [3,6,2,1,4,7,5,8]=>[8,5,7,4,1,2,6,3]=>0000000 [7,4,1,2,8,6,3,5]=>[5,3,6,8,2,1,4,7]=>0000000 [4,2,7,6,5,8,1,3]=>[3,1,8,5,6,7,2,4]=>0000000 [7,3,8,1,5,4,6,2]=>[2,6,4,5,1,8,3,7]=>0000000 [5,3,2,6,7,4,1,8]=>[8,1,4,7,6,2,3,5]=>0000000 [4,8,2,6,5,7,1,3]=>[3,1,7,5,6,2,8,4]=>0000000 [3,8,7,6,2,4,1,5]=>[5,1,4,2,6,7,8,3]=>0000000 [5,7,1,4,6,3,2,8]=>[8,2,3,6,4,1,7,5]=>0000000 [1,4,8,2,7,6,3,5]=>[5,3,6,7,2,8,4,1]=>0000000 [2,5,8,7,4,6,1,3]=>[3,1,6,4,7,8,5,2]=>0000000 [5,7,8,3,2,1,4,6]=>[6,4,1,2,3,8,7,5]=>0000000 [8,3,2,1,4,7,6,5]=>[5,6,7,4,1,2,3,8]=>0000001 [1,7,5,3,8,2,6,4]=>[4,6,2,8,3,5,7,1]=>0000000 [2,7,5,1,3,8,6,4]=>[4,6,8,3,1,5,7,2]=>0000000 [8,7,4,2,6,1,5,3]=>[3,5,1,6,2,4,7,8]=>0000011 [3,4,2,8,7,6,1,5]=>[5,1,6,7,8,2,4,3]=>0000000 [6,7,2,5,8,4,3,1]=>[1,3,4,8,5,2,7,6]=>1000000 [2,7,6,4,1,3,8,5]=>[5,8,3,1,4,6,7,2]=>0000000 [6,2,7,5,3,1,8,4]=>[4,8,1,3,5,7,2,6]=>0000000 [1,5,8,2,7,4,6,3]=>[3,6,4,7,2,8,5,1]=>0000000 [5,7,3,1,8,4,6,2]=>[2,6,4,8,1,3,7,5]=>0000000 [8,4,7,3,1,6,5,2]=>[2,5,6,1,3,7,4,8]=>0000001 [5,6,4,8,3,7,2,1]=>[1,2,7,3,8,4,6,5]=>1100000 [1,8,6,7,3,4,2,5]=>[5,2,4,3,7,6,8,1]=>0000000 [7,8,1,6,3,4,2,5]=>[5,2,4,3,6,1,8,7]=>0000010 [7,8,2,5,1,6,3,4]=>[4,3,6,1,5,2,8,7]=>0000010 [5,7,1,6,2,8,3,4]=>[4,3,8,2,6,1,7,5]=>0000000 [5,6,2,7,1,8,3,4]=>[4,3,8,1,7,2,6,5]=>0000000 [6,7,2,5,1,8,3,4]=>[4,3,8,1,5,2,7,6]=>0000000 [2,6,5,8,1,7,3,4]=>[4,3,7,1,8,5,6,2]=>0000000 [2,3,1,8,5,6,4,7]=>[7,4,6,5,8,1,3,2]=>0000000 [5,7,2,3,1,6,4,8]=>[8,4,6,1,3,2,7,5]=>0000000 [5,7,2,4,3,6,1,8]=>[8,1,6,3,4,2,7,5]=>0000000 [4,7,1,6,2,5,3,8]=>[8,3,5,2,6,1,7,4]=>0000000 [4,6,3,5,1,7,2,8]=>[8,2,7,1,5,3,6,4]=>0000000 [6,7,3,5,1,4,2,8]=>[8,2,4,1,5,3,7,6]=>0000000 [1,8,5,6,3,4,2,7]=>[7,2,4,3,6,5,8,1]=>0000000 [1,8,5,6,4,7,2,3]=>[3,2,7,4,6,5,8,1]=>0000000 [5,7,1,6,4,8,2,3]=>[3,2,8,4,6,1,7,5]=>0000000 [4,6,5,8,1,7,2,3]=>[3,2,7,1,8,5,6,4]=>0000000 [4,7,1,8,5,6,2,3]=>[3,2,6,5,8,1,7,4]=>0000000 [3,5,4,6,2,8,1,7]=>[7,1,8,2,6,4,5,3]=>0000000 [3,5,2,7,4,8,1,6]=>[6,1,8,4,7,2,5,3]=>0000000 [2,7,1,3,4,8,6,5]=>[5,6,8,4,3,1,7,2]=>0000000 [4,2,1,6,5,3,8,7]=>[7,8,3,5,6,1,2,4]=>0000000 [4,2,6,3,5,1,8,7]=>[7,8,1,5,3,6,2,4]=>0000000 [6,8,2,1,7,4,3,5]=>[5,3,4,7,1,2,8,6]=>0000000 [4,8,2,1,6,7,3,5]=>[5,3,7,6,1,2,8,4]=>0000000 [2,8,6,7,4,3,1,5]=>[5,1,3,4,7,6,8,2]=>0000000 [2,6,4,5,8,3,7,1]=>[1,7,3,8,5,4,6,2]=>1000000 [4,2,1,6,8,7,5,3]=>[3,5,7,8,6,1,2,4]=>0000000 [6,4,8,5,7,2,1,3]=>[3,1,2,7,5,8,4,6]=>0010000 [4,6,5,8,7,2,1,3]=>[3,1,2,7,8,5,6,4]=>0010000 [6,4,8,2,1,5,7,3]=>[3,7,5,1,2,8,4,6]=>0000000 [2,6,8,4,7,1,5,3]=>[3,5,1,7,4,8,6,2]=>0000000 [6,2,3,5,1,4,8,7]=>[7,8,4,1,5,3,2,6]=>0000000 [7,3,2,5,4,8,6,1]=>[1,6,8,4,5,2,3,7]=>1000000 [3,5,1,6,4,2,8,7]=>[7,8,2,4,6,1,5,3]=>0000000 [3,6,2,4,5,1,8,7]=>[7,8,1,5,4,2,6,3]=>0000000 [5,7,1,3,8,6,2,4]=>[4,2,6,8,3,1,7,5]=>0000000 [4,8,1,5,6,7,3,2]=>[2,3,7,6,5,1,8,4]=>0000000 [5,8,2,4,6,7,1,3]=>[3,1,7,6,4,2,8,5]=>0000000 [3,8,2,5,4,7,6,1]=>[1,6,7,4,5,2,8,3]=>1000000 [4,6,7,1,8,5,3,2]=>[2,3,5,8,1,7,6,4]=>0000000 [3,6,1,7,8,5,4,2]=>[2,4,5,8,7,1,6,3]=>0000000 [2,1,5,7,3,8,6,4]=>[4,6,8,3,7,5,1,2]=>0000000 [5,4,7,1,2,8,6,3]=>[3,6,8,2,1,7,4,5]=>0000000 [6,4,7,2,8,5,3,1]=>[1,3,5,8,2,7,4,6]=>1000000 [4,1,2,3,7,8,6,5]=>[5,6,8,7,3,2,1,4]=>0000000 [3,4,2,1,8,5,6,7]=>[7,6,5,8,1,2,4,3]=>0000000 [7,2,3,6,8,4,1,5]=>[5,1,4,8,6,3,2,7]=>0000000 [8,2,3,5,7,1,4,6]=>[6,4,1,7,5,3,2,8]=>0000001 [4,5,8,3,6,7,2,1]=>[1,2,7,6,3,8,5,4]=>1100000 [2,1,5,8,4,6,7,3]=>[3,7,6,4,8,5,1,2]=>0000000 [6,8,2,3,1,4,5,7]=>[7,5,4,1,3,2,8,6]=>0000000 [3,1,5,2,4,8,7,6]=>[6,7,8,4,2,5,1,3]=>0000000 [3,6,4,5,1,8,7,2]=>[2,7,8,1,5,4,6,3]=>0000000 [4,3,6,1,2,8,7,5]=>[5,7,8,2,1,6,3,4]=>0000000 [8,1,2,5,4,6,3,7]=>[7,3,6,4,5,2,1,8]=>0000001 [6,8,3,1,4,7,5,2]=>[2,5,7,4,1,3,8,6]=>0000000 [1,8,3,2,4,5,7,6]=>[6,7,5,4,2,3,8,1]=>0000000 [8,4,2,5,7,1,6,3]=>[3,6,1,7,5,2,4,8]=>0000001 [1,8,5,3,7,4,6,2]=>[2,6,4,7,3,5,8,1]=>0000000 [5,3,2,8,7,1,4,6]=>[6,4,1,7,8,2,3,5]=>0000000 [4,2,8,5,7,6,1,3]=>[3,1,6,7,5,8,2,4]=>0000000 [4,2,1,7,5,3,6,8]=>[8,6,3,5,7,1,2,4]=>0000000 [4,3,1,8,5,6,7,2]=>[2,7,6,5,8,1,3,4]=>0000000 [1,8,5,4,3,6,2,7]=>[7,2,6,3,4,5,8,1]=>0000000 [4,7,1,8,2,6,5,3]=>[3,5,6,2,8,1,7,4]=>0000000 [1,4,8,3,5,7,6,2]=>[2,6,7,5,3,8,4,1]=>0000000 [6,3,5,1,4,2,8,7]=>[7,8,2,4,1,5,3,6]=>0000000 [6,3,1,2,8,5,7,4]=>[4,7,5,8,2,1,3,6]=>0000000 [5,3,8,7,2,1,4,6]=>[6,4,1,2,7,8,3,5]=>0000000 [7,6,5,4,1,3,2,8]=>[8,2,3,1,4,5,6,7]=>0000000 [1,2,3,4,5,10,9,8,7,6]=>[6,7,8,9,10,5,4,3,2,1]=>000000000 [4,6,3,1,5,2,7,8]=>[8,7,2,5,1,3,6,4]=>0000000 [5,2,7,4,1,6,3,8]=>[8,3,6,1,4,7,2,5]=>0000000 [6,2,3,7,5,1,4,8]=>[8,4,1,5,7,3,2,6]=>0000000 [4,2,6,1,5,3,7,8]=>[8,7,3,5,1,6,2,4]=>0000000 [5,2,6,4,1,3,7,8]=>[8,7,3,1,4,6,2,5]=>0000000 [1,2,7,8,5,6,3,4]=>[4,3,6,5,8,7,2,1]=>0000000 [1,2,6,8,5,3,7,4]=>[4,7,3,5,8,6,2,1]=>0000000 [1,2,6,4,8,3,7,5]=>[5,7,3,8,4,6,2,1]=>0000000 [8,7,4,1,6,2,3,5]=>[5,3,2,6,1,4,7,8]=>0000011 [6,4,2,8,1,5,7,3]=>[3,7,5,1,8,2,4,6]=>0000000 [7,3,6,8,5,2,4,1]=>[1,4,2,5,8,6,3,7]=>1000000 [2,7,8,3,6,5,1,4]=>[4,1,5,6,3,8,7,2]=>0000000 [2,7,8,5,4,6,3,1]=>[1,3,6,4,5,8,7,2]=>1000000 [2,7,8,3,6,1,4,5]=>[5,4,1,6,3,8,7,2]=>0000000 [2,1,3,7,8,5,6,4]=>[4,6,5,8,7,3,1,2]=>0000000 [5,1,2,4,8,7,3,6]=>[6,3,7,8,4,2,1,5]=>0000000 [2,6,3,1,8,7,4,5]=>[5,4,7,8,1,3,6,2]=>0000000 [5,2,6,1,7,8,4,3]=>[3,4,8,7,1,6,2,5]=>0000000 [3,6,5,4,1,8,7,2]=>[2,7,8,1,4,5,6,3]=>0000000 [5,2,3,4,8,7,1,6]=>[6,1,7,8,4,3,2,5]=>0000000 [3,2,7,6,4,1,8,5]=>[5,8,1,4,6,7,2,3]=>0000000 [5,3,2,8,1,6,4,7]=>[7,4,6,1,8,2,3,5]=>0000000 [6,4,7,2,5,8,1,3]=>[3,1,8,5,2,7,4,6]=>0000000 [8,5,1,2,6,4,3,7]=>[7,3,4,6,2,1,5,8]=>0000001 [2,4,6,5,1,7,8,3]=>[3,8,7,1,5,6,4,2]=>0000000 [5,6,1,7,4,2,8,3]=>[3,8,2,4,7,1,6,5]=>0000000 [3,7,4,8,1,2,6,5]=>[5,6,2,1,8,4,7,3]=>0000000 [1,3,8,6,2,7,4,5]=>[5,4,7,2,6,8,3,1]=>0000000 [4,3,7,5,6,1,8,2]=>[2,8,1,6,5,7,3,4]=>0000000 [6,4,7,8,2,1,3,5]=>[5,3,1,2,8,7,4,6]=>0000000 [2,7,8,3,4,6,1,5]=>[5,1,6,4,3,8,7,2]=>0000000 [3,7,8,1,5,4,2,6]=>[6,2,4,5,1,8,7,3]=>0000000 [4,6,7,2,8,3,1,5]=>[5,1,3,8,2,7,6,4]=>0000000 [7,6,8,5,1,3,2,4]=>[4,2,3,1,5,8,6,7]=>0001100 [4,5,6,7,3,1,8,2]=>[2,8,1,3,7,6,5,4]=>0000000 [8,7,6,4,1,2,5,3]=>[3,5,2,1,4,6,7,8]=>0000111 [8,5,3,2,7,6,1,4]=>[4,1,6,7,2,3,5,8]=>0000001 [2,6,4,5,7,8,3,1]=>[1,3,8,7,5,4,6,2]=>1000000 [7,5,2,8,4,1,3,6]=>[6,3,1,4,8,2,5,7]=>0000000 [7,3,8,5,2,1,4,6]=>[6,4,1,2,5,8,3,7]=>0000000 [5,8,2,1,6,7,4,3]=>[3,4,7,6,1,2,8,5]=>0000000 [3,7,6,8,1,2,5,4]=>[4,5,2,1,8,6,7,3]=>0000000 [6,5,1,4,2,3,8,7]=>[7,8,3,2,4,1,5,6]=>0000000 [4,1,6,3,2,5,8,7]=>[7,8,5,2,3,6,1,4]=>0000000 [8,7,6,1,2,3,5,4]=>[4,5,3,2,1,6,7,8]=>0000111 [5,4,1,6,2,3,8,7]=>[7,8,3,2,6,1,4,5]=>0000000 [5,8,7,6,1,2,3,4]=>[4,3,2,1,6,7,8,5]=>0001000 [2,1,8,7,3,6,4,5]=>[5,4,6,3,7,8,1,2]=>0000000 [2,1,6,3,8,5,4,7]=>[7,4,5,8,3,6,1,2]=>0000000 [2,6,3,1,8,5,4,7]=>[7,4,5,8,1,3,6,2]=>0000000 [4,6,2,8,5,1,3,7]=>[7,3,1,5,8,2,6,4]=>0000000 [5,2,1,8,7,3,4,6]=>[6,4,3,7,8,1,2,5]=>0000000 [6,5,2,7,4,3,8,1]=>[1,8,3,4,7,2,5,6]=>1000000 [4,6,5,2,7,3,8,1]=>[1,8,3,7,2,5,6,4]=>1000000 [2,7,5,4,8,3,6,1]=>[1,6,3,8,4,5,7,2]=>1000000 [3,1,6,2,4,8,7,5]=>[5,7,8,4,2,6,1,3]=>0000000 [2,1,7,6,3,8,4,5]=>[5,4,8,3,6,7,1,2]=>0000000 [7,1,6,2,3,8,5,4]=>[4,5,8,3,2,6,1,7]=>0000000 [8,2,3,4,6,7,1,5]=>[5,1,7,6,4,3,2,8]=>0000001 [6,4,8,3,5,7,1,2]=>[2,1,7,5,3,8,4,6]=>0100000 [8,5,7,4,6,2,1,3]=>[3,1,2,6,4,7,5,8]=>0010001 [5,8,3,2,4,6,1,7]=>[7,1,6,4,2,3,8,5]=>0000000 [2,8,4,1,5,3,7,6]=>[6,7,3,5,1,4,8,2]=>0000000 [2,1,7,6,5,3,8,4]=>[4,8,3,5,6,7,1,2]=>0000000 [4,7,6,1,2,5,8,3]=>[3,8,5,2,1,6,7,4]=>0000000 [3,6,7,1,8,5,2,4]=>[4,2,5,8,1,7,6,3]=>0000000 [6,5,7,3,1,8,4,2]=>[2,4,8,1,3,7,5,6]=>0000000 [5,7,2,3,6,4,8,1]=>[1,8,4,6,3,2,7,5]=>1000000 [7,8,6,1,3,2,5,4]=>[4,5,2,3,1,6,8,7]=>0000110 [6,8,5,4,2,7,3,1]=>[1,3,7,2,4,5,8,6]=>1000000 [4,1,3,8,7,5,6,2]=>[2,6,5,7,8,3,1,4]=>0000000 [2,1,4,6,8,3,7,5]=>[5,7,3,8,6,4,1,2]=>0000000 [5,4,1,6,3,8,7,2]=>[2,7,8,3,6,1,4,5]=>0000000 [3,5,6,2,4,8,7,1]=>[1,7,8,4,2,6,5,3]=>1000000 [6,2,7,4,8,1,3,5]=>[5,3,1,8,4,7,2,6]=>0000000 [5,4,1,2,8,7,6,3]=>[3,6,7,8,2,1,4,5]=>0000000 [4,3,2,6,8,1,7,5]=>[5,7,1,8,6,2,3,4]=>0000000 [7,1,5,6,3,8,2,4]=>[4,2,8,3,6,5,1,7]=>0000000 [1,5,4,2,7,8,3,6]=>[6,3,8,7,2,4,5,1]=>0000000 [6,1,2,8,7,4,3,5]=>[5,3,4,7,8,2,1,6]=>0000000 [5,1,6,8,4,7,2,3]=>[3,2,7,4,8,6,1,5]=>0000000 [5,6,8,1,7,3,2,4]=>[4,2,3,7,1,8,6,5]=>0000000 [6,4,3,8,2,5,7,1]=>[1,7,5,2,8,3,4,6]=>1000000 [5,8,2,3,6,4,1,7]=>[7,1,4,6,3,2,8,5]=>0000000 [2,1,7,8,3,4,6,5]=>[5,6,4,3,8,7,1,2]=>0000000 [3,5,8,7,4,2,6,1]=>[1,6,2,4,7,8,5,3]=>1000000 [7,5,1,8,4,2,6,3]=>[3,6,2,4,8,1,5,7]=>0000000 [5,6,1,8,2,7,4,3]=>[3,4,7,2,8,1,6,5]=>0000000 [2,1,6,5,4,8,3,7]=>[7,3,8,4,5,6,1,2]=>0000000 [2,1,7,8,4,6,5,3]=>[3,5,6,4,8,7,1,2]=>0000000 [2,1,7,3,5,8,6,4]=>[4,6,8,5,3,7,1,2]=>0000000 [3,8,7,4,1,2,5,6]=>[6,5,2,1,4,7,8,3]=>0000000 [3,6,8,1,5,7,2,4]=>[4,2,7,5,1,8,6,3]=>0000000 [3,5,7,8,4,6,1,2]=>[2,1,6,4,8,7,5,3]=>0100000 [7,8,2,4,3,1,5,6]=>[6,5,1,3,4,2,8,7]=>0000010 [6,2,7,1,3,5,8,4]=>[4,8,5,3,1,7,2,6]=>0000000 [6,1,8,2,3,5,4,7]=>[7,4,5,3,2,8,1,6]=>0000000 [7,2,4,1,6,3,8,5]=>[5,8,3,6,1,4,2,7]=>0000000 [7,6,2,8,5,1,4,3]=>[3,4,1,5,8,2,6,7]=>0000000 [5,3,2,4,7,8,6,1]=>[1,6,8,7,4,2,3,5]=>1000000 [5,2,4,3,6,8,1,7]=>[7,1,8,6,3,4,2,5]=>0000000 [3,7,5,8,1,6,2,4]=>[4,2,6,1,8,5,7,3]=>0000000 [3,7,6,4,5,1,8,2]=>[2,8,1,5,4,6,7,3]=>0000000 [4,7,5,6,3,8,2,1]=>[1,2,8,3,6,5,7,4]=>1100000 [3,8,5,7,1,4,6,2]=>[2,6,4,1,7,5,8,3]=>0000000 [5,8,2,7,3,4,6,1]=>[1,6,4,3,7,2,8,5]=>1000000 [5,7,2,8,3,6,1,4]=>[4,1,6,3,8,2,7,5]=>0000000 [5,6,2,4,3,1,8,7]=>[7,8,1,3,4,2,6,5]=>0000000 [6,8,3,7,5,4,2,1]=>[1,2,4,5,7,3,8,6]=>1100000 [6,1,3,4,7,5,8,2]=>[2,8,5,7,4,3,1,6]=>0000000 [6,2,1,4,8,7,5,3]=>[3,5,7,8,4,1,2,6]=>0000000 [8,7,6,5,1,3,2,4]=>[4,2,3,1,5,6,7,8]=>0001111 [8,7,6,2,4,3,1,5]=>[5,1,3,4,2,6,7,8]=>0000111 [5,4,8,7,6,1,3,2]=>[2,3,1,6,7,8,4,5]=>0010000 [1,6,3,8,5,2,4,7]=>[7,4,2,5,8,3,6,1]=>0000000 [4,6,3,7,5,2,1,8]=>[8,1,2,5,7,3,6,4]=>0000000 [3,7,2,6,5,4,1,8]=>[8,1,4,5,6,2,7,3]=>0000000 [3,2,1,6,8,4,5,7]=>[7,5,4,8,6,1,2,3]=>0000000 [6,2,5,1,7,4,8,3]=>[3,8,4,7,1,5,2,6]=>0000000 [5,2,7,4,1,6,8,3]=>[3,8,6,1,4,7,2,5]=>0000000 [3,4,1,2,7,8,6,5]=>[5,6,8,7,2,1,4,3]=>0000000 [5,4,8,3,7,1,6,2]=>[2,6,1,7,3,8,4,5]=>0000000 [4,1,3,2,8,6,7,5]=>[5,7,6,8,2,3,1,4]=>0000000 [3,1,2,4,7,6,8,5]=>[5,8,6,7,4,2,1,3]=>0000000 [6,7,8,1,4,5,3,2]=>[2,3,5,4,1,8,7,6]=>0000100 [8,4,6,1,3,5,2,7]=>[7,2,5,3,1,6,4,8]=>0000001 [3,2,5,4,7,8,1,6]=>[6,1,8,7,4,5,2,3]=>0000000 [3,1,7,6,5,8,2,4]=>[4,2,8,5,6,7,1,3]=>0000000 [5,4,2,6,8,7,1,3]=>[3,1,7,8,6,2,4,5]=>0000000 [6,4,1,2,8,7,3,5]=>[5,3,7,8,2,1,4,6]=>0000000 [6,5,1,4,3,2,8,7]=>[7,8,2,3,4,1,5,6]=>0000000 [4,3,8,5,2,1,6,7]=>[7,6,1,2,5,8,3,4]=>0000000 [3,6,4,5,2,1,8,7]=>[7,8,1,2,5,4,6,3]=>0000000 [5,2,6,7,3,1,4,8]=>[8,4,1,3,7,6,2,5]=>0000000 [5,6,3,1,8,2,7,4]=>[4,7,2,8,1,3,6,5]=>0000000 [6,5,4,3,1,2,8,7]=>[7,8,2,1,3,4,5,6]=>0000000 [4,5,2,1,6,8,3,7]=>[7,3,8,6,1,2,5,4]=>0000000 [5,6,2,8,1,7,4,3]=>[3,4,7,1,8,2,6,5]=>0000000 [8,1,3,4,7,2,6,5]=>[5,6,2,7,4,3,1,8]=>0000001 [2,1,4,5,8,6,3,7]=>[7,3,6,8,5,4,1,2]=>0000000 [5,1,7,3,4,8,2,6]=>[6,2,8,4,3,7,1,5]=>0000000 [1,8,3,4,7,6,2,5]=>[5,2,6,7,4,3,8,1]=>0000000 [8,7,2,3,6,5,4,1]=>[1,4,5,6,3,2,7,8]=>1000011 [4,8,1,6,7,2,5,3]=>[3,5,2,7,6,1,8,4]=>0000000 [6,7,3,1,5,8,2,4]=>[4,2,8,5,1,3,7,6]=>0000000 [5,4,7,6,1,8,2,3]=>[3,2,8,1,6,7,4,5]=>0000000 [3,5,6,8,4,7,2,1]=>[1,2,7,4,8,6,5,3]=>1100000 [2,5,6,8,7,3,4,1]=>[1,4,3,7,8,6,5,2]=>1000000 [8,4,5,7,6,3,2,1]=>[1,2,3,6,7,5,4,8]=>1110001 [2,4,8,5,7,3,6,1]=>[1,6,3,7,5,8,4,2]=>1000000 [5,3,7,8,4,6,2,1]=>[1,2,6,4,8,7,3,5]=>1100000 [6,7,3,8,4,5,2,1]=>[1,2,5,4,8,3,7,6]=>1100000 [5,2,7,8,6,3,4,1]=>[1,4,3,6,8,7,2,5]=>1000000 [2,1,8,7,6,4,3,5]=>[5,3,4,6,7,8,1,2]=>0000000 [6,3,8,7,5,1,2,4]=>[4,2,1,5,7,8,3,6]=>0000000 [5,4,8,7,1,3,2,6]=>[6,2,3,1,7,8,4,5]=>0000000 [5,4,2,7,6,8,1,3]=>[3,1,8,6,7,2,4,5]=>0000000 [5,3,1,4,8,7,2,6]=>[6,2,7,8,4,1,3,5]=>0000000 [3,4,2,8,6,1,5,7]=>[7,5,1,6,8,2,4,3]=>0000000 [2,8,6,1,7,3,5,4]=>[4,5,3,7,1,6,8,2]=>0000000 [1,7,6,3,5,8,2,4]=>[4,2,8,5,3,6,7,1]=>0000000 [1,8,2,5,7,6,3,4]=>[4,3,6,7,5,2,8,1]=>0000000 [4,1,6,8,2,3,7,5]=>[5,7,3,2,8,6,1,4]=>0000000 [8,1,5,6,4,7,2,3]=>[3,2,7,4,6,5,1,8]=>0000001 [1,7,4,6,8,2,5,3]=>[3,5,2,8,6,4,7,1]=>0000000 [4,7,3,8,5,2,1,6]=>[6,1,2,5,8,3,7,4]=>0000000 [3,8,6,2,7,4,1,5]=>[5,1,4,7,2,6,8,3]=>0000000 [8,1,2,4,6,7,5,3]=>[3,5,7,6,4,2,1,8]=>0000001 [6,4,2,8,5,1,3,7]=>[7,3,1,5,8,2,4,6]=>0000000 [6,7,5,1,4,2,8,3]=>[3,8,2,4,1,5,7,6]=>0000000 [5,8,4,7,3,2,6,1]=>[1,6,2,3,7,4,8,5]=>1000000 [6,2,4,1,7,5,8,3]=>[3,8,5,7,1,4,2,6]=>0000000 [3,1,5,4,2,8,6,7]=>[7,6,8,2,4,5,1,3]=>0000000 [3,7,4,2,1,8,5,6]=>[6,5,8,1,2,4,7,3]=>0000000 [7,5,1,4,2,8,6,3]=>[3,6,8,2,4,1,5,7]=>0000000 [4,3,2,1,8,5,7,6]=>[6,7,5,8,1,2,3,4]=>0000000 [5,3,2,1,7,6,4,8]=>[8,4,6,7,1,2,3,5]=>0000000 [8,1,6,2,7,4,3,5]=>[5,3,4,7,2,6,1,8]=>0000001 [8,6,3,2,7,5,4,1]=>[1,4,5,7,2,3,6,8]=>1000001 [7,3,1,6,5,4,2,8]=>[8,2,4,5,6,1,3,7]=>0000000 [8,5,7,4,3,6,2,1]=>[1,2,6,3,4,7,5,8]=>1100001 [8,5,7,2,4,6,3,1]=>[1,3,6,4,2,7,5,8]=>1000001 [2,8,5,6,1,4,3,7]=>[7,3,4,1,6,5,8,2]=>0000000 [7,2,6,8,4,1,5,3]=>[3,5,1,4,8,6,2,7]=>0000000 [7,6,4,8,3,2,5,1]=>[1,5,2,3,8,4,6,7]=>1000000 [6,5,8,4,1,3,7,2]=>[2,7,3,1,4,8,5,6]=>0000000 [5,4,8,3,2,1,7,6]=>[6,7,1,2,3,8,4,5]=>0000000 [2,4,7,1,3,6,5,8]=>[8,5,6,3,1,7,4,2]=>0000000 [3,6,8,2,1,5,7,4]=>[4,7,5,1,2,8,6,3]=>0000000 [5,1,7,8,2,4,6,3]=>[3,6,4,2,8,7,1,5]=>0000000 [3,6,7,8,1,2,5,4]=>[4,5,2,1,8,7,6,3]=>0000000 [4,6,7,2,8,1,3,5]=>[5,3,1,8,2,7,6,4]=>0000000 [2,7,4,1,8,3,6,5]=>[5,6,3,8,1,4,7,2]=>0000000 [3,5,1,8,4,2,7,6]=>[6,7,2,4,8,1,5,3]=>0000000 [7,2,5,8,6,3,1,4]=>[4,1,3,6,8,5,2,7]=>0000000 [6,8,1,4,7,5,2,3]=>[3,2,5,7,4,1,8,6]=>0000000 [3,8,7,6,2,1,5,4]=>[4,5,1,2,6,7,8,3]=>0000000 [8,1,2,3,4,7,6,5]=>[5,6,7,4,3,2,1,8]=>0000001 [3,8,2,7,6,5,4,1]=>[1,4,5,6,7,2,8,3]=>1000000 [4,2,8,7,6,5,3,1]=>[1,3,5,6,7,8,2,4]=>1000000 [8,3,1,7,6,5,4,2]=>[2,4,5,6,7,1,3,8]=>0000001 [2,5,8,6,3,1,4,7]=>[7,4,1,3,6,8,5,2]=>0000000 [6,8,7,2,4,3,5,1]=>[1,5,3,4,2,7,8,6]=>1000100 [8,3,4,6,1,5,2,7]=>[7,2,5,1,6,4,3,8]=>0000001 [6,3,4,7,8,2,5,1]=>[1,5,2,8,7,4,3,6]=>1000000 [5,3,7,4,8,6,1,2]=>[2,1,6,8,4,7,3,5]=>0100000 [2,4,7,6,8,3,5,1]=>[1,5,3,8,6,7,4,2]=>1000000 [4,8,6,5,7,1,2,3]=>[3,2,1,7,5,6,8,4]=>0010000 [8,4,1,5,2,3,7,6]=>[6,7,3,2,5,1,4,8]=>0000001 [6,3,2,1,8,4,7,5]=>[5,7,4,8,1,2,3,6]=>0000000 [2,3,7,6,8,1,5,4]=>[4,5,1,8,6,7,3,2]=>0000000 [2,7,8,5,1,3,6,4]=>[4,6,3,1,5,8,7,2]=>0000000 [4,8,7,6,2,3,5,1]=>[1,5,3,2,6,7,8,4]=>1000000 [6,7,5,4,2,1,8,3]=>[3,8,1,2,4,5,7,6]=>0000000 [4,2,1,5,8,7,6,3]=>[3,6,7,8,5,1,2,4]=>0000000 [8,5,3,2,6,1,7,4]=>[4,7,1,6,2,3,5,8]=>0000001 [7,3,4,6,1,5,8,2]=>[2,8,5,1,6,4,3,7]=>0000000 [7,8,2,1,6,3,5,4]=>[4,5,3,6,1,2,8,7]=>0000010 [2,6,8,5,3,1,7,4]=>[4,7,1,3,5,8,6,2]=>0000000 [5,6,2,1,7,3,8,4]=>[4,8,3,7,1,2,6,5]=>0000000 [6,4,2,1,5,3,7,8]=>[8,7,3,5,1,2,4,6]=>0000000 [1,6,4,2,8,7,3,5]=>[5,3,7,8,2,4,6,1]=>0000000 [4,8,1,2,6,7,3,5]=>[5,3,7,6,2,1,8,4]=>0000000 [4,3,8,5,7,6,1,2]=>[2,1,6,7,5,8,3,4]=>0100000 [4,8,6,3,7,5,1,2]=>[2,1,5,7,3,6,8,4]=>0100000 [3,8,5,6,1,7,4,2]=>[2,4,7,1,6,5,8,3]=>0000000 [2,1,8,7,6,3,5,4]=>[4,5,3,6,7,8,1,2]=>0000000 [2,8,1,7,4,6,5,3]=>[3,5,6,4,7,1,8,2]=>0000000 [2,8,6,7,5,1,4,3]=>[3,4,1,5,7,6,8,2]=>0000000 [5,4,1,6,3,2,8,7]=>[7,8,2,3,6,1,4,5]=>0000000 [3,2,6,5,1,4,8,7]=>[7,8,4,1,5,6,2,3]=>0000000 [2,5,8,1,7,4,3,6]=>[6,3,4,7,1,8,5,2]=>0000000 [2,1,7,6,3,8,5,4]=>[4,5,8,3,6,7,1,2]=>0000000 [7,6,2,8,4,3,1,5]=>[5,1,3,4,8,2,6,7]=>0000000 [4,2,7,3,1,8,5,6]=>[6,5,8,1,3,7,2,4]=>0000000 [5,2,7,3,8,6,1,4]=>[4,1,6,8,3,7,2,5]=>0000000 [4,8,3,2,1,7,6,5]=>[5,6,7,1,2,3,8,4]=>0000000 [6,8,3,7,2,1,5,4]=>[4,5,1,2,7,3,8,6]=>0000000 [3,5,8,1,7,2,6,4]=>[4,6,2,7,1,8,5,3]=>0000000 [5,8,3,1,6,2,7,4]=>[4,7,2,6,1,3,8,5]=>0000000 [5,1,7,3,6,2,8,4]=>[4,8,2,6,3,7,1,5]=>0000000 [4,3,2,1,6,8,5,7]=>[7,5,8,6,1,2,3,4]=>0000000 [2,4,1,3,8,7,6,5]=>[5,6,7,8,3,1,4,2]=>0000000 [6,5,3,1,7,2,8,4]=>[4,8,2,7,1,3,5,6]=>0000000 [3,8,5,4,2,1,7,6]=>[6,7,1,2,4,5,8,3]=>0000000 [2,3,8,5,4,1,6,7]=>[7,6,1,4,5,8,3,2]=>0000000 [4,3,2,8,7,6,1,5]=>[5,1,6,7,8,2,3,4]=>0000000 [5,4,2,6,3,1,8,7]=>[7,8,1,3,6,2,4,5]=>0000000 [6,5,2,1,3,4,8,7]=>[7,8,4,3,1,2,5,6]=>0000000 [7,5,2,6,3,8,4,1]=>[1,4,8,3,6,2,5,7]=>1000000 [7,3,6,5,2,8,4,1]=>[1,4,8,2,5,6,3,7]=>1000000 [5,6,3,1,2,4,8,7]=>[7,8,4,2,1,3,6,5]=>0000000 [2,7,5,3,8,6,4,1]=>[1,4,6,8,3,5,7,2]=>1000000 [3,7,6,4,2,8,5,1]=>[1,5,8,2,4,6,7,3]=>1000000 [5,7,3,6,2,8,4,1]=>[1,4,8,2,6,3,7,5]=>1000000 [3,8,4,1,5,7,2,6]=>[6,2,7,5,1,4,8,3]=>0000000 [4,5,3,6,8,2,7,1]=>[1,7,2,8,6,3,5,4]=>1000000 [5,6,3,7,4,8,2,1]=>[1,2,8,4,7,3,6,5]=>1100000 [6,3,7,5,8,4,2,1]=>[1,2,4,8,5,7,3,6]=>1100000 [7,1,8,5,4,2,3,6]=>[6,3,2,4,5,8,1,7]=>0000000 [2,1,7,8,5,3,4,6]=>[6,4,3,5,8,7,1,2]=>0000000 [4,7,3,8,1,2,6,5]=>[5,6,2,1,8,3,7,4]=>0000000 [5,8,7,4,6,3,2,1]=>[1,2,3,6,4,7,8,5]=>1110000 [4,8,7,6,3,5,2,1]=>[1,2,5,3,6,7,8,4]=>1100000 [5,8,4,7,6,3,2,1]=>[1,2,3,6,7,4,8,5]=>1110000 [4,8,7,3,6,5,2,1]=>[1,2,5,6,3,7,8,4]=>1100000 [6,8,5,4,7,3,2,1]=>[1,2,3,7,4,5,8,6]=>1110000 [3,8,7,6,2,5,4,1]=>[1,4,5,2,6,7,8,3]=>1000000 [4,8,7,6,3,2,5,1]=>[1,5,2,3,6,7,8,4]=>1000000 [7,5,8,3,6,2,1,4]=>[4,1,2,6,3,8,5,7]=>0000000 [7,5,8,3,2,1,6,4]=>[4,6,1,2,3,8,5,7]=>0000000 [7,6,8,2,5,1,4,3]=>[3,4,1,5,2,8,6,7]=>0000100 [2,1,7,5,8,4,6,3]=>[3,6,4,8,5,7,1,2]=>0000000 [2,7,3,6,8,4,1,5]=>[5,1,4,8,6,3,7,2]=>0000000 [2,5,6,8,1,7,4,3]=>[3,4,7,1,8,6,5,2]=>0000000 [5,1,7,2,4,8,3,6]=>[6,3,8,4,2,7,1,5]=>0000000 [3,5,8,7,2,1,6,4]=>[4,6,1,2,7,8,5,3]=>0000000 [8,5,3,6,2,4,1,7]=>[7,1,4,2,6,3,5,8]=>0000001 [8,3,5,6,2,1,4,7]=>[7,4,1,2,6,5,3,8]=>0000001 [8,1,4,6,3,5,2,7]=>[7,2,5,3,6,4,1,8]=>0000001 [5,4,7,6,8,2,3,1]=>[1,3,2,8,6,7,4,5]=>1010000 [4,1,8,2,3,7,6,5]=>[5,6,7,3,2,8,1,4]=>0000000 [3,7,4,5,8,2,1,6]=>[6,1,2,8,5,4,7,3]=>0000000 [5,2,4,6,8,7,3,1]=>[1,3,7,8,6,4,2,5]=>1000000 [5,4,1,6,8,2,7,3]=>[3,7,2,8,6,1,4,5]=>0000000 [7,5,8,2,1,4,6,3]=>[3,6,4,1,2,8,5,7]=>0000000 [7,4,8,3,2,6,1,5]=>[5,1,6,2,3,8,4,7]=>0000000 [7,4,3,2,6,8,5,1]=>[1,5,8,6,2,3,4,7]=>1000000 [8,3,7,2,1,5,6,4]=>[4,6,5,1,2,7,3,8]=>0000001 [5,1,2,3,6,8,7,4]=>[4,7,8,6,3,2,1,5]=>0000000 [6,3,8,2,7,4,1,5]=>[5,1,4,7,2,8,3,6]=>0000000 [5,7,8,2,1,4,3,6]=>[6,3,4,1,2,8,7,5]=>0000000 [3,5,1,7,8,4,2,6]=>[6,2,4,8,7,1,5,3]=>0000000 [8,4,7,2,1,3,5,6]=>[6,5,3,1,2,7,4,8]=>0000001 [7,1,6,3,5,8,2,4]=>[4,2,8,5,3,6,1,7]=>0000000 [1,5,2,7,8,6,4,3]=>[3,4,6,8,7,2,5,1]=>0000000 [2,6,8,5,1,4,7,3]=>[3,7,4,1,5,8,6,2]=>0000000 [1,4,2,8,6,5,7,3]=>[3,7,5,6,8,2,4,1]=>0000000 [3,5,1,6,8,7,2,4]=>[4,2,7,8,6,1,5,3]=>0000000 [5,7,6,2,1,3,8,4]=>[4,8,3,1,2,6,7,5]=>0000000 [2,5,8,7,4,1,6,3]=>[3,6,1,4,7,8,5,2]=>0000000 [8,3,4,1,5,6,7,2]=>[2,7,6,5,1,4,3,8]=>0000001 [7,3,5,2,4,6,1,8]=>[8,1,6,4,2,5,3,7]=>0000000 [3,5,2,7,4,6,1,8]=>[8,1,6,4,7,2,5,3]=>0000000 [3,7,5,2,4,6,1,8]=>[8,1,6,4,2,5,7,3]=>0000000 [5,7,3,2,4,6,1,8]=>[8,1,6,4,2,3,7,5]=>0000000 [5,7,3,2,1,4,6,8]=>[8,6,4,1,2,3,7,5]=>0000000 [5,7,3,2,4,1,6,8]=>[8,6,1,4,2,3,7,5]=>0000000 [3,7,5,2,4,1,6,8]=>[8,6,1,4,2,5,7,3]=>0000000 [3,2,7,5,4,1,6,8]=>[8,6,1,4,5,7,2,3]=>0000000 [5,1,3,2,7,4,6,8]=>[8,6,4,7,2,3,1,5]=>0000000 [3,2,1,5,7,4,6,8]=>[8,6,4,7,5,1,2,3]=>0000000 [3,2,7,5,1,4,6,8]=>[8,6,4,1,5,7,2,3]=>0000000 [5,7,3,1,2,4,6,8]=>[8,6,4,2,1,3,7,5]=>0000000 [1,5,3,7,2,4,6,8]=>[8,6,4,2,7,3,5,1]=>0000000 [3,5,2,7,4,1,6,8]=>[8,6,1,4,7,2,5,3]=>0000000 [3,5,7,2,4,1,6,8]=>[8,6,1,4,2,7,5,3]=>0000000 [5,3,7,2,4,1,6,8]=>[8,6,1,4,2,7,3,5]=>0000000 [7,3,5,2,1,4,6,8]=>[8,6,4,1,2,5,3,7]=>0000000 [3,5,2,4,1,7,6,8]=>[8,6,7,1,4,2,5,3]=>0000000 [5,3,1,2,7,4,6,8]=>[8,6,4,7,2,1,3,5]=>0000000 [3,2,5,1,7,4,6,8]=>[8,6,4,7,1,5,2,3]=>0000000 [7,5,1,3,2,4,6,8]=>[8,6,4,2,3,1,5,7]=>0000000 [5,7,1,3,2,4,6,8]=>[8,6,4,2,3,1,7,5]=>0000000 [3,2,1,7,5,4,6,8]=>[8,6,4,5,7,1,2,3]=>0000000 [7,1,5,3,2,4,6,8]=>[8,6,4,2,3,5,1,7]=>0000000 [1,7,5,3,2,4,6,8]=>[8,6,4,2,3,5,7,1]=>0000000 [5,8,7,4,1,2,6,3]=>[3,6,2,1,4,7,8,5]=>0000000 [2,8,7,4,3,6,1,5]=>[5,1,6,3,4,7,8,2]=>0000000 [7,6,4,2,8,5,3,1]=>[1,3,5,8,2,4,6,7]=>1000000 [7,6,4,8,5,1,2,3]=>[3,2,1,5,8,4,6,7]=>0010000 [7,6,4,5,1,3,8,2]=>[2,8,3,1,5,4,6,7]=>0000000 [1,6,7,5,3,8,4,2]=>[2,4,8,3,5,7,6,1]=>0000000 [7,6,4,2,5,1,8,3]=>[3,8,1,5,2,4,6,7]=>0000000 [7,6,2,8,3,1,4,5]=>[5,4,1,3,8,2,6,7]=>0000000 [6,2,3,8,7,4,1,5]=>[5,1,4,7,8,3,2,6]=>0000000 [2,6,5,7,8,3,4,1]=>[1,4,3,8,7,5,6,2]=>1000000 [2,4,7,3,5,8,6,1]=>[1,6,8,5,3,7,4,2]=>1000000 [2,5,3,7,1,8,4,6]=>[6,4,8,1,7,3,5,2]=>0000000 [3,2,5,1,7,8,4,6]=>[6,4,8,7,1,5,2,3]=>0000000 [5,2,3,4,8,6,1,7]=>[7,1,6,8,4,3,2,5]=>0000000 [5,3,4,8,2,7,6,1]=>[1,6,7,2,8,4,3,5]=>1000000 [5,3,8,2,4,1,7,6]=>[6,7,1,4,2,8,3,5]=>0000000 [5,2,8,4,1,7,3,6]=>[6,3,7,1,4,8,2,5]=>0000000 [6,4,2,5,1,8,7,3]=>[3,7,8,1,5,2,4,6]=>0000000 [6,4,3,5,8,2,1,7]=>[7,1,2,8,5,3,4,6]=>0000000 [6,3,5,4,8,2,7,1]=>[1,7,2,8,4,5,3,6]=>1000000 [6,3,5,8,7,1,2,4]=>[4,2,1,7,8,5,3,6]=>0000000 [5,8,1,4,3,6,2,7]=>[7,2,6,3,4,1,8,5]=>0000000 [6,4,5,3,8,1,7,2]=>[2,7,1,8,3,5,4,6]=>0000000 [6,4,3,8,5,7,2,1]=>[1,2,7,5,8,3,4,6]=>1100000 [5,4,2,6,3,1,7,8]=>[8,7,1,3,6,2,4,5]=>0000000 [4,5,1,3,6,2,8,7]=>[7,8,2,6,3,1,5,4]=>0000000 [3,5,7,6,1,4,8,2]=>[2,8,4,1,6,7,5,3]=>0000000 [4,2,6,5,1,7,3,8]=>[8,3,7,1,5,6,2,4]=>0000000 [3,5,4,7,2,6,1,8]=>[8,1,6,2,7,4,5,3]=>0000000 [3,4,7,6,8,1,2,5]=>[5,2,1,8,6,7,4,3]=>0000000 [3,5,2,4,6,1,8,7]=>[7,8,1,6,4,2,5,3]=>0000000 [1,8,4,3,7,5,6,2]=>[2,6,5,7,3,4,8,1]=>0000000 [5,2,8,6,4,7,3,1]=>[1,3,7,4,6,8,2,5]=>1000000 [1,8,6,3,7,4,2,5]=>[5,2,4,7,3,6,8,1]=>0000000 [1,8,6,5,7,2,3,4]=>[4,3,2,7,5,6,8,1]=>0000000 [5,2,3,8,4,1,7,6]=>[6,7,1,4,8,3,2,5]=>0000000 [7,5,3,4,8,2,1,6]=>[6,1,2,8,4,3,5,7]=>0000000 [7,6,3,8,4,2,1,5]=>[5,1,2,4,8,3,6,7]=>0000000 [7,2,8,5,1,6,3,4]=>[4,3,6,1,5,8,2,7]=>0000000 [7,4,3,8,5,2,6,1]=>[1,6,2,5,8,3,4,7]=>1000000 [7,6,3,8,2,4,5,1]=>[1,5,4,2,8,3,6,7]=>1000000 [7,2,8,5,1,3,4,6]=>[6,4,3,1,5,8,2,7]=>0000000 [7,6,8,1,2,5,3,4]=>[4,3,5,2,1,8,6,7]=>0000100 [1,5,3,7,6,8,4,2]=>[2,4,8,6,7,3,5,1]=>0000000 [1,2,7,4,8,5,3,6]=>[6,3,5,8,4,7,2,1]=>0000000 [4,2,6,7,5,8,1,3]=>[3,1,8,5,7,6,2,4]=>0000000 [5,7,4,2,6,3,1,8]=>[8,1,3,6,2,4,7,5]=>0000000 [8,3,4,6,5,1,7,2]=>[2,7,1,5,6,4,3,8]=>0000001 [2,1,8,3,6,7,4,5]=>[5,4,7,6,3,8,1,2]=>0000000 [5,1,8,6,2,7,3,4]=>[4,3,7,2,6,8,1,5]=>0000000 [5,7,1,4,2,6,3,8]=>[8,3,6,2,4,1,7,5]=>0000000 [8,2,6,1,5,4,7,3]=>[3,7,4,5,1,6,2,8]=>0000001 [7,8,5,4,1,6,3,2]=>[2,3,6,1,4,5,8,7]=>0000010 [3,6,2,7,8,1,5,4]=>[4,5,1,8,7,2,6,3]=>0000000 [2,6,8,4,1,5,7,3]=>[3,7,5,1,4,8,6,2]=>0000000 [5,7,8,4,1,6,3,2]=>[2,3,6,1,4,8,7,5]=>0000000 [4,5,6,8,3,1,7,2]=>[2,7,1,3,8,6,5,4]=>0000000 [8,4,6,5,3,1,7,2]=>[2,7,1,3,5,6,4,8]=>0000001 [5,6,4,8,3,1,7,2]=>[2,7,1,3,8,4,6,5]=>0000000 [3,4,8,1,2,5,7,6]=>[6,7,5,2,1,8,4,3]=>0000000 [6,3,1,7,5,2,4,8]=>[8,4,2,5,7,1,3,6]=>0000000 [4,5,3,1,7,2,6,8]=>[8,6,2,7,1,3,5,4]=>0000000 [6,3,1,8,2,7,4,5]=>[5,4,7,2,8,1,3,6]=>0000000 [7,8,1,2,4,3,6,5]=>[5,6,3,4,2,1,8,7]=>0000010 [5,2,8,1,3,4,7,6]=>[6,7,4,3,1,8,2,5]=>0000000 [3,2,1,6,4,7,8,5]=>[5,8,7,4,6,1,2,3]=>0000000 [3,2,6,1,5,7,8,4]=>[4,8,7,5,1,6,2,3]=>0000000 [3,6,4,2,1,7,8,5]=>[5,8,7,1,2,4,6,3]=>0000000 [2,6,5,3,1,7,8,4]=>[4,8,7,1,3,5,6,2]=>0000000 [3,8,6,1,4,7,5,2]=>[2,5,7,4,1,6,8,3]=>0000000 [1,8,3,2,6,7,5,4]=>[4,5,7,6,2,3,8,1]=>0000000 [8,7,1,3,6,5,4,2]=>[2,4,5,6,3,1,7,8]=>0000011 [1,8,5,7,4,2,6,3]=>[3,6,2,4,7,5,8,1]=>0000000 [2,7,6,5,8,3,1,4]=>[4,1,3,8,5,6,7,2]=>0000000 [1,4,7,6,8,2,3,5]=>[5,3,2,8,6,7,4,1]=>0000000 [3,5,7,4,8,1,2,6]=>[6,2,1,8,4,7,5,3]=>0000000 [4,6,1,7,5,8,2,3]=>[3,2,8,5,7,1,6,4]=>0000000 [2,3,6,7,5,8,1,4]=>[4,1,8,5,7,6,3,2]=>0000000 [1,3,7,5,6,8,2,4]=>[4,2,8,6,5,7,3,1]=>0000000 [8,2,5,3,7,1,6,4]=>[4,6,1,7,3,5,2,8]=>0000001 [4,1,8,3,7,5,6,2]=>[2,6,5,7,3,8,1,4]=>0000000 [1,4,8,7,3,5,6,2]=>[2,6,5,3,7,8,4,1]=>0000000 [1,5,8,7,4,6,2,3]=>[3,2,6,4,7,8,5,1]=>0000000 [4,8,6,7,5,3,2,1]=>[1,2,3,5,7,6,8,4]=>1110000 [1,8,7,6,5,3,4,2]=>[2,4,3,5,6,7,8,1]=>0000000 [1,7,8,3,5,2,4,6]=>[6,4,2,5,3,8,7,1]=>0000000 [8,5,3,7,2,4,6,1]=>[1,6,4,2,7,3,5,8]=>1000001 [2,7,6,8,4,3,1,5]=>[5,1,3,4,8,6,7,2]=>0000000 [8,1,4,6,7,3,5,2]=>[2,5,3,7,6,4,1,8]=>0000001 [3,1,6,5,8,7,4,2]=>[2,4,7,8,5,6,1,3]=>0000000 [2,3,6,4,1,7,8,5]=>[5,8,7,1,4,6,3,2]=>0000000 [3,1,7,4,5,2,8,6]=>[6,8,2,5,4,7,1,3]=>0000000 [3,7,5,4,2,1,8,6]=>[6,8,1,2,4,5,7,3]=>0000000 [8,7,2,4,6,5,3,1]=>[1,3,5,6,4,2,7,8]=>1000011 [8,2,6,7,3,1,5,4]=>[4,5,1,3,7,6,2,8]=>0000001 [8,7,6,5,1,3,4,2]=>[2,4,3,1,5,6,7,8]=>0001111 [8,7,6,1,4,5,3,2]=>[2,3,5,4,1,6,7,8]=>0000111 [6,7,8,1,5,4,3,2]=>[2,3,4,5,1,8,7,6]=>0000100 [8,7,6,5,2,4,3,1]=>[1,3,4,2,5,6,7,8]=>1001111 [7,6,5,4,2,8,3,1]=>[1,3,8,2,4,5,6,7]=>1000000 [8,7,5,4,2,6,3,1]=>[1,3,6,2,4,5,7,8]=>1000011 [3,5,8,7,6,2,1,4]=>[4,1,2,6,7,8,5,3]=>0000000 [7,3,8,4,6,1,5,2]=>[2,5,1,6,4,8,3,7]=>0000000 [4,8,5,7,1,6,3,2]=>[2,3,6,1,7,5,8,4]=>0000000 [5,4,3,6,7,1,8,2]=>[2,8,1,7,6,3,4,5]=>0000000 [4,8,7,3,5,1,6,2]=>[2,6,1,5,3,7,8,4]=>0000000 [4,8,7,6,3,1,5,2]=>[2,5,1,3,6,7,8,4]=>0000000 [3,4,5,2,8,1,6,7]=>[7,6,1,8,2,5,4,3]=>0000000 [6,5,8,4,7,2,1,3]=>[3,1,2,7,4,8,5,6]=>0010000 [6,8,5,7,3,2,1,4]=>[4,1,2,3,7,5,8,6]=>0001000 [6,8,5,3,7,2,1,4]=>[4,1,2,7,3,5,8,6]=>0000000 [6,5,8,4,7,3,1,2]=>[2,1,3,7,4,8,5,6]=>0110000 [6,8,5,7,4,2,1,3]=>[3,1,2,4,7,5,8,6]=>0011000 [2,1,8,7,6,3,4,5]=>[5,4,3,6,7,8,1,2]=>0000000 [2,1,8,7,3,6,5,4]=>[4,5,6,3,7,8,1,2]=>0000000 [5,8,7,6,2,4,1,3]=>[3,1,4,2,6,7,8,5]=>0001000 [6,8,7,5,2,4,1,3]=>[3,1,4,2,5,7,8,6]=>0001100 [5,8,7,6,4,2,3,1]=>[1,3,2,4,6,7,8,5]=>1011000 [2,3,5,7,4,8,6,1]=>[1,6,8,4,7,5,3,2]=>1000000 [2,3,5,7,8,4,6,1]=>[1,6,4,8,7,5,3,2]=>1000000 [2,3,6,1,7,5,8,4]=>[4,8,5,7,1,6,3,2]=>0000000 [2,3,7,1,8,5,6,4]=>[4,6,5,8,1,7,3,2]=>0000000 [2,4,1,7,3,8,6,5]=>[5,6,8,3,7,1,4,2]=>0000000 [2,4,1,7,8,5,6,3]=>[3,6,5,8,7,1,4,2]=>0000000 [2,4,5,3,7,1,8,6]=>[6,8,1,7,3,5,4,2]=>0000000 [2,4,6,3,8,5,1,7]=>[7,1,5,8,3,6,4,2]=>0000000 [2,4,6,8,3,5,1,7]=>[7,1,5,3,8,6,4,2]=>0000000 [2,5,1,6,7,4,8,3]=>[3,8,4,7,6,1,5,2]=>0000000 [2,5,6,3,7,4,8,1]=>[1,8,4,7,3,6,5,2]=>1000000 [2,5,6,7,8,4,1,3]=>[3,1,4,8,7,6,5,2]=>0000000 [2,5,6,8,4,3,1,7]=>[7,1,3,4,8,6,5,2]=>0000000 [2,6,1,7,4,8,5,3]=>[3,5,8,4,7,1,6,2]=>0000000 [7,6,5,3,8,1,4,2]=>[2,4,1,8,3,5,6,7]=>0000000 [7,4,8,3,5,1,6,2]=>[2,6,1,5,3,8,4,7]=>0000000 [7,6,3,8,2,4,1,5]=>[5,1,4,2,8,3,6,7]=>0000000 [5,1,2,3,4,8,7,6]=>[6,7,8,4,3,2,1,5]=>0000000 [4,1,2,3,7,6,5,8]=>[8,5,6,7,3,2,1,4]=>0000000 [7,6,5,8,2,4,3,1]=>[1,3,4,2,8,5,6,7]=>1001000 [7,8,4,6,5,3,2,1]=>[1,2,3,5,6,4,8,7]=>1110010 [6,8,7,4,5,2,3,1]=>[1,3,2,5,4,7,8,6]=>1010100 [6,8,4,7,2,5,3,1]=>[1,3,5,2,7,4,8,6]=>1000000 [6,8,4,2,7,5,3,1]=>[1,3,5,7,2,4,8,6]=>1000000 [6,8,4,7,2,1,5,3]=>[3,5,1,2,7,4,8,6]=>0000000 [6,8,4,7,3,5,2,1]=>[1,2,5,3,7,4,8,6]=>1100000 [6,8,4,2,7,1,5,3]=>[3,5,1,7,2,4,8,6]=>0000000 [6,8,4,7,3,2,5,1]=>[1,5,2,3,7,4,8,6]=>1000000 [6,8,4,2,1,7,5,3]=>[3,5,7,1,2,4,8,6]=>0000000 [6,8,4,7,3,2,1,5]=>[5,1,2,3,7,4,8,6]=>0000000 [4,8,7,6,2,5,1,3]=>[3,1,5,2,6,7,8,4]=>0000000 [2,8,7,6,3,5,1,4]=>[4,1,5,3,6,7,8,2]=>0000000 [5,8,7,3,6,2,1,4]=>[4,1,2,6,3,7,8,5]=>0000000 [5,8,7,2,3,6,1,4]=>[4,1,6,3,2,7,8,5]=>0000000 [6,8,3,7,5,2,1,4]=>[4,1,2,5,7,3,8,6]=>0000000 [6,8,1,7,3,5,4,2]=>[2,4,5,3,7,1,8,6]=>0000000 [6,8,4,7,1,2,5,3]=>[3,5,2,1,7,4,8,6]=>0000000 [6,8,1,7,3,2,5,4]=>[4,5,2,3,7,1,8,6]=>0000000 [3,8,5,7,6,1,4,2]=>[2,4,1,6,7,5,8,3]=>0000000 [4,8,5,7,1,2,6,3]=>[3,6,2,1,7,5,8,4]=>0000000 [1,8,5,7,3,2,6,4]=>[4,6,2,3,7,5,8,1]=>0000000 [6,8,5,3,7,1,4,2]=>[2,4,1,7,3,5,8,6]=>0000000 [6,8,3,4,7,1,5,2]=>[2,5,1,7,4,3,8,6]=>0000000 [6,8,1,3,7,2,5,4]=>[4,5,2,7,3,1,8,6]=>0000000 [2,8,1,3,7,6,5,4]=>[4,5,6,7,3,1,8,2]=>0000000 [6,8,5,4,1,7,3,2]=>[2,3,7,1,4,5,8,6]=>0000000 [6,8,1,4,2,7,5,3]=>[3,5,7,2,4,1,8,6]=>0000000 [6,5,4,3,8,7,1,2]=>[2,1,7,8,3,4,5,6]=>0100000 [6,5,8,4,3,7,1,2]=>[2,1,7,3,4,8,5,6]=>0100000 [3,1,6,8,4,5,2,7]=>[7,2,5,4,8,6,1,3]=>0000000 [3,1,6,7,4,8,5,2]=>[2,5,8,4,7,6,1,3]=>0000000 [8,6,4,2,7,5,1,3]=>[3,1,5,7,2,4,6,8]=>0000001 [8,6,4,2,7,1,5,3]=>[3,5,1,7,2,4,6,8]=>0000001 [6,4,8,2,7,5,1,3]=>[3,1,5,7,2,8,4,6]=>0000000 [3,4,5,8,7,6,1,2]=>[2,1,6,7,8,5,4,3]=>0100000 [7,4,8,6,3,2,1,5]=>[5,1,2,3,6,8,4,7]=>0000000 [7,4,8,3,5,2,1,6]=>[6,1,2,5,3,8,4,7]=>0000000 [5,8,3,6,7,2,1,4]=>[4,1,2,7,6,3,8,5]=>0000000 [7,3,8,6,5,2,1,4]=>[4,1,2,5,6,8,3,7]=>0000000 [6,8,4,3,2,5,1,7]=>[7,1,5,2,3,4,8,6]=>0000000 [4,8,7,3,2,5,1,6]=>[6,1,5,2,3,7,8,4]=>0000000 [6,3,7,8,2,4,1,5]=>[5,1,4,2,8,7,3,6]=>0000000 [5,3,7,6,2,4,1,8]=>[8,1,4,2,6,7,3,5]=>0000000 [5,4,7,2,6,8,1,3]=>[3,1,8,6,2,7,4,5]=>0000000 [5,4,3,2,6,8,1,7]=>[7,1,8,6,2,3,4,5]=>0000000 [4,8,3,2,5,6,1,7]=>[7,1,6,5,2,3,8,4]=>0000000 [7,5,2,6,8,4,1,3]=>[3,1,4,8,6,2,5,7]=>0000000 [7,1,8,2,3,6,5,4]=>[4,5,6,3,2,8,1,7]=>0000000 [7,1,8,3,6,2,5,4]=>[4,5,2,6,3,8,1,7]=>0000000 [6,2,3,4,1,7,5,8]=>[8,5,7,1,4,3,2,6]=>0000000 [2,8,3,4,5,1,6,7]=>[7,6,1,5,4,3,8,2]=>0000000 [5,3,1,7,2,4,8,6]=>[6,8,4,2,7,1,3,5]=>0000000 [5,3,6,1,2,7,4,8]=>[8,4,7,2,1,6,3,5]=>0000000 [2,8,5,3,4,6,7,1]=>[1,7,6,4,3,5,8,2]=>1000000 [4,5,3,1,2,6,8,7]=>[7,8,6,2,1,3,5,4]=>0000000 [3,4,1,2,5,8,7,6]=>[6,7,8,5,2,1,4,3]=>0000000 [6,7,4,3,2,1,8,5]=>[5,8,1,2,3,4,7,6]=>0000000 [4,5,2,1,8,7,6,3]=>[3,6,7,8,1,2,5,4]=>0000000 [7,1,2,3,4,6,8,5]=>[5,8,6,4,3,2,1,7]=>0000000 [6,1,2,3,5,8,7,4]=>[4,7,8,5,3,2,1,6]=>0000000 [5,1,2,4,8,6,7,3]=>[3,7,6,8,4,2,1,5]=>0000000 [7,1,2,3,5,8,6,4]=>[4,6,8,5,3,2,1,7]=>0000000 [6,1,2,3,5,7,8,4]=>[4,8,7,5,3,2,1,6]=>0000000 [8,6,3,5,2,7,4,1]=>[1,4,7,2,5,3,6,8]=>1000001 [7,5,2,8,6,3,4,1]=>[1,4,3,6,8,2,5,7]=>1000000 [5,2,8,6,7,3,4,1]=>[1,4,3,7,6,8,2,5]=>1000000 [7,5,2,3,8,6,4,1]=>[1,4,6,8,3,2,5,7]=>1000000 [5,2,8,3,4,1,6,7]=>[7,6,1,4,3,8,2,5]=>0000000 [5,2,3,8,6,7,4,1]=>[1,4,7,6,8,3,2,5]=>1000000 [7,4,1,2,6,8,5,3]=>[3,5,8,6,2,1,4,7]=>0000000 [5,3,8,4,1,2,6,7]=>[7,6,2,1,4,8,3,5]=>0000000 [7,3,5,6,8,4,1,2]=>[2,1,4,8,6,5,3,7]=>0100000 [7,4,5,1,8,6,2,3]=>[3,2,6,8,1,5,4,7]=>0000000 [6,2,3,4,8,5,1,7]=>[7,1,5,8,4,3,2,6]=>0000000 [8,4,5,1,7,3,6,2]=>[2,6,3,7,1,5,4,8]=>0000001 [7,2,3,4,6,8,5,1]=>[1,5,8,6,4,3,2,7]=>1000000 [4,2,7,5,8,6,3,1]=>[1,3,6,8,5,7,2,4]=>1000000 [4,2,8,5,6,7,3,1]=>[1,3,7,6,5,8,2,4]=>1000000 [7,4,8,5,6,1,2,3]=>[3,2,1,6,5,8,4,7]=>0010000 [7,4,5,8,6,1,2,3]=>[3,2,1,6,8,5,4,7]=>0010000 [7,5,8,6,1,2,3,4]=>[4,3,2,1,6,8,5,7]=>0001000 [6,4,8,5,2,3,1,7]=>[7,1,3,2,5,8,4,6]=>0000000 [7,4,6,8,5,2,3,1]=>[1,3,2,5,8,6,4,7]=>1010000 [7,2,3,8,4,5,6,1]=>[1,6,5,4,8,3,2,7]=>1000000 [7,2,8,3,4,5,6,1]=>[1,6,5,4,3,8,2,7]=>1000000 [8,5,2,7,4,6,3,1]=>[1,3,6,4,7,2,5,8]=>1000001 [5,2,4,8,6,7,3,1]=>[1,3,7,6,8,4,2,5]=>1000000 [8,5,2,4,6,7,3,1]=>[1,3,7,6,4,2,5,8]=>1000001 [5,2,4,8,3,1,6,7]=>[7,6,1,3,8,4,2,5]=>0000000 [7,4,5,8,6,2,3,1]=>[1,3,2,6,8,5,4,7]=>1010000 [7,4,8,5,6,2,3,1]=>[1,3,2,6,5,8,4,7]=>1010000 [4,8,2,5,1,3,7,6]=>[6,7,3,1,5,2,8,4]=>0000000 [3,5,4,6,1,7,8,2]=>[2,8,7,1,6,4,5,3]=>0000000 [3,1,5,8,2,6,4,7]=>[7,4,6,2,8,5,1,3]=>0000000 [2,1,7,8,9,10,6,5,4,3]=>[3,4,5,6,10,9,8,7,1,2]=>000000000 [1,5,6,7,8,3,4,2]=>[2,4,3,8,7,6,5,1]=>0000000 [1,4,5,7,8,3,6,2]=>[2,6,3,8,7,5,4,1]=>0000000 [1,5,6,3,7,8,4,2]=>[2,4,8,7,3,6,5,1]=>0000000 [6,1,2,3,4,8,7,5]=>[5,7,8,4,3,2,1,6]=>0000000 [5,1,2,3,8,7,6,4]=>[4,6,7,8,3,2,1,5]=>0000000 [5,1,2,3,8,6,7,4]=>[4,7,6,8,3,2,1,5]=>0000000 [2,8,5,3,1,4,6,7]=>[7,6,4,1,3,5,8,2]=>0000000 [2,4,3,6,7,8,1,5]=>[5,1,8,7,6,3,4,2]=>0000000 [2,5,3,6,7,8,4,1]=>[1,4,8,7,6,3,5,2]=>1000000 [2,5,3,6,7,4,8,1]=>[1,8,4,7,6,3,5,2]=>1000000 [3,4,8,1,5,6,7,2]=>[2,7,6,5,1,8,4,3]=>0000000 [3,5,1,6,7,8,4,2]=>[2,4,8,7,6,1,5,3]=>0000000 [3,5,1,7,4,8,6,2]=>[2,6,8,4,7,1,5,3]=>0000000 [3,6,7,4,8,5,1,2]=>[2,1,5,8,4,7,6,3]=>0100000 [3,6,8,4,5,1,7,2]=>[2,7,1,5,4,8,6,3]=>0000000 [4,1,5,7,8,6,3,2]=>[2,3,6,8,7,5,1,4]=>0000000 [4,1,7,3,5,8,6,2]=>[2,6,8,5,3,7,1,4]=>0000000 [4,1,7,8,5,6,3,2]=>[2,3,6,5,8,7,1,4]=>0000000 [4,5,8,3,1,6,7,2]=>[2,7,6,1,3,8,5,4]=>0000000 [4,6,3,1,8,5,7,2]=>[2,7,5,8,1,3,6,4]=>0000000 [4,6,3,7,8,5,1,2]=>[2,1,5,8,7,3,6,4]=>0100000 [4,6,8,3,5,1,7,2]=>[2,7,1,5,3,8,6,4]=>0000000 [5,1,6,4,8,3,7,2]=>[2,7,3,8,4,6,1,5]=>0000000 [5,1,7,4,3,8,6,2]=>[2,6,8,3,4,7,1,5]=>0000000 [5,6,3,7,8,1,4,2]=>[2,4,1,8,7,3,6,5]=>0000000 [5,6,7,8,4,1,3,2]=>[2,3,1,4,8,7,6,5]=>0011000 [5,7,3,4,1,8,6,2]=>[2,6,8,1,4,3,7,5]=>0000000 [5,7,3,8,4,6,1,2]=>[2,1,6,4,8,3,7,5]=>0100000 [5,7,8,4,3,6,1,2]=>[2,1,6,3,4,8,7,5]=>0100000 [6,1,3,7,8,5,4,2]=>[2,4,5,8,7,3,1,6]=>0000000 [6,1,3,8,5,4,7,2]=>[2,7,4,5,8,3,1,6]=>0000000 [6,1,8,4,5,3,7,2]=>[2,7,3,5,4,8,1,6]=>0000000 [6,7,3,8,5,4,1,2]=>[2,1,4,5,8,3,7,6]=>0100000 [7,1,3,4,8,6,5,2]=>[2,5,6,8,4,3,1,7]=>0000000 [7,1,8,4,5,6,3,2]=>[2,3,6,5,4,8,1,7]=>0000000 [8,5,1,4,2,3,6,7]=>[7,6,3,2,4,1,5,8]=>0000001 [8,5,1,4,3,2,6,7]=>[7,6,2,3,4,1,5,8]=>0000001 [8,7,1,2,3,6,4,5]=>[5,4,6,3,2,1,7,8]=>0000011 [2,5,8,6,1,7,3,4]=>[4,3,7,1,6,8,5,2]=>0000000 [6,8,7,2,3,4,1,5]=>[5,1,4,3,2,7,8,6]=>0000100 [3,1,5,4,6,7,8,2]=>[2,8,7,6,4,5,1,3]=>0000000 [4,2,8,5,3,1,6,7]=>[7,6,1,3,5,8,2,4]=>0000000 [8,1,2,6,5,3,7,4]=>[4,7,3,5,6,2,1,8]=>0000001 [1,3,2,4,8,5,7,6]=>[6,7,5,8,4,2,3,1]=>0000000 [5,3,1,8,2,4,7,6]=>[6,7,4,2,8,1,3,5]=>0000000 [1,5,4,2,8,3,7,6]=>[6,7,3,8,2,4,5,1]=>0000000 [1,7,2,5,3,8,6,4]=>[4,6,8,3,5,2,7,1]=>0000000 [2,6,1,8,3,7,4,5]=>[5,4,7,3,8,1,6,2]=>0000000 [3,5,8,4,1,7,2,6]=>[6,2,7,1,4,8,5,3]=>0000000 [5,1,4,6,2,8,7,3]=>[3,7,8,2,6,4,1,5]=>0000000 [7,6,2,1,4,8,3,5]=>[5,3,8,4,1,2,6,7]=>0000000 [1,4,2,7,3,8,6,5]=>[5,6,8,3,7,2,4,1]=>0000000 [1,2,7,3,8,6,5,4]=>[4,5,6,8,3,7,2,1]=>0000000 [3,4,5,1,8,2,7,6]=>[6,7,2,8,1,5,4,3]=>0000000 [2,8,7,6,3,1,4,5]=>[5,4,1,3,6,7,8,2]=>0000000 [7,6,2,3,4,8,1,5]=>[5,1,8,4,3,2,6,7]=>0000000 [8,7,6,2,1,4,3,5]=>[5,3,4,1,2,6,7,8]=>0000111 [8,7,3,1,4,2,6,5]=>[5,6,2,4,1,3,7,8]=>0000011 [1,2,3,8,4,7,6,5]=>[5,6,7,4,8,3,2,1]=>0000000 [4,5,1,2,8,3,7,6]=>[6,7,3,8,2,1,5,4]=>0000000 [4,1,2,6,5,7,8,3]=>[3,8,7,5,6,2,1,4]=>0000000 [8,4,1,7,3,2,5,6]=>[6,5,2,3,7,1,4,8]=>0000001 [1,8,7,3,2,4,6,5]=>[5,6,4,2,3,7,8,1]=>0000000 [1,8,4,2,7,3,6,5]=>[5,6,3,7,2,4,8,1]=>0000000 [1,7,5,2,3,8,6,4]=>[4,6,8,3,2,5,7,1]=>0000000 [8,1,4,7,3,5,2,6]=>[6,2,5,3,7,4,1,8]=>0000001 [8,4,3,6,1,7,2,5]=>[5,2,7,1,6,3,4,8]=>0000001 [8,3,1,5,6,2,7,4]=>[4,7,2,6,5,1,3,8]=>0000001 [3,4,1,6,5,7,2,8]=>[8,2,7,5,6,1,4,3]=>0000000 [5,4,3,6,1,7,2,8]=>[8,2,7,1,6,3,4,5]=>0000000 [4,8,7,6,2,1,5,3]=>[3,5,1,2,6,7,8,4]=>0000000 [6,8,5,2,1,7,4,3]=>[3,4,7,1,2,5,8,6]=>0000000 [7,8,5,3,6,2,4,1]=>[1,4,2,6,3,5,8,7]=>1000010 [7,5,8,3,6,4,2,1]=>[1,2,4,6,3,8,5,7]=>1100000 [5,8,7,6,3,2,4,1]=>[1,4,2,3,6,7,8,5]=>1001000 [7,5,3,8,6,4,2,1]=>[1,2,4,6,8,3,5,7]=>1100000 [5,4,8,1,6,3,7,2]=>[2,7,3,6,1,8,4,5]=>0000000 [2,1,5,8,3,7,4,6]=>[6,4,7,3,8,5,1,2]=>0000000 [2,1,7,4,8,3,6,5]=>[5,6,3,8,4,7,1,2]=>0000000 [5,1,4,8,2,7,3,6]=>[6,3,7,2,8,4,1,5]=>0000000 [6,1,3,5,7,2,8,4]=>[4,8,2,7,5,3,1,6]=>0000000 [3,1,2,7,8,4,6,5]=>[5,6,4,8,7,2,1,3]=>0000000 [3,4,1,2,8,7,5,6]=>[6,5,7,8,2,1,4,3]=>0000000 [2,1,3,4,8,5,7,6]=>[6,7,5,8,4,3,1,2]=>0000000 [6,2,5,1,7,3,8,4]=>[4,8,3,7,1,5,2,6]=>0000000 [2,4,8,1,3,7,5,6]=>[6,5,7,3,1,8,4,2]=>0000000 [1,5,4,8,6,2,7,3]=>[3,7,2,6,8,4,5,1]=>0000000 [4,2,5,8,1,7,3,6]=>[6,3,7,1,8,5,2,4]=>0000000 [2,6,8,5,1,7,3,4]=>[4,3,7,1,5,8,6,2]=>0000000 [5,1,2,3,8,4,7,6]=>[6,7,4,8,3,2,1,5]=>0000000 [3,4,5,1,8,7,2,6]=>[6,2,7,8,1,5,4,3]=>0000000 [4,1,2,3,8,7,5,6]=>[6,5,7,8,3,2,1,4]=>0000000 [5,1,4,6,2,7,8,3]=>[3,8,7,2,6,4,1,5]=>0000000 [2,3,1,8,5,4,7,6]=>[6,7,4,5,8,1,3,2]=>0000000 [5,3,1,8,7,2,4,6]=>[6,4,2,7,8,1,3,5]=>0000000 [3,6,1,8,7,2,4,5]=>[5,4,2,7,8,1,6,3]=>0000000 [6,3,5,7,1,2,8,4]=>[4,8,2,1,7,5,3,6]=>0000000 [1,3,8,4,2,7,6,5]=>[5,6,7,2,4,8,3,1]=>0000000 [1,2,3,8,5,7,4,6]=>[6,4,7,5,8,3,2,1]=>0000000 [4,5,1,8,7,2,3,6]=>[6,3,2,7,8,1,5,4]=>0000000 [3,1,5,2,8,6,7,4]=>[4,7,6,8,2,5,1,3]=>0000000 [7,8,6,5,2,1,4,3]=>[3,4,1,2,5,6,8,7]=>0001110 [6,7,8,2,1,5,4,3]=>[3,4,5,1,2,8,7,6]=>0000100 [8,7,5,6,2,1,4,3]=>[3,4,1,2,6,5,7,8]=>0001011 [7,8,4,5,6,1,3,2]=>[2,3,1,6,5,4,8,7]=>0010010 [4,2,5,1,8,7,3,6]=>[6,3,7,8,1,5,2,4]=>0000000 [7,2,4,5,8,3,6,1]=>[1,6,3,8,5,4,2,7]=>1000000 [8,1,4,3,2,5,6,7]=>[7,6,5,2,3,4,1,8]=>0000001 [8,2,3,4,1,6,7,5]=>[5,7,6,1,4,3,2,8]=>0000001 [7,2,8,4,5,3,1,6]=>[6,1,3,5,4,8,2,7]=>0000000 [1,5,7,8,4,6,2,3]=>[3,2,6,4,8,7,5,1]=>0000000 [6,5,4,8,2,3,1,7]=>[7,1,3,2,8,4,5,6]=>0000000 [5,1,3,2,8,4,6,7]=>[7,6,4,8,2,3,1,5]=>0000000 [7,6,1,3,8,2,4,5]=>[5,4,2,8,3,1,6,7]=>0000000 [5,4,1,2,3,8,6,7]=>[7,6,8,3,2,1,4,5]=>0000000 [7,6,8,5,2,4,1,3]=>[3,1,4,2,5,8,6,7]=>0001100 [6,7,8,5,2,4,1,3]=>[3,1,4,2,5,8,7,6]=>0001100 [3,4,5,7,2,8,1,6]=>[6,1,8,2,7,5,4,3]=>0000000 [3,4,5,8,2,1,7,6]=>[6,7,1,2,8,5,4,3]=>0000000 [3,4,6,2,7,8,1,5]=>[5,1,8,7,2,6,4,3]=>0000000 [3,4,6,7,5,1,2,8]=>[8,2,1,5,7,6,4,3]=>0000000 [3,4,6,1,5,2,7,8]=>[8,7,2,5,1,6,4,3]=>0000000 [3,4,7,2,1,6,5,8]=>[8,5,6,1,2,7,4,3]=>0000000 [3,4,7,1,5,6,2,8]=>[8,2,6,5,1,7,4,3]=>0000000 [3,5,2,6,1,4,7,8]=>[8,7,4,1,6,2,5,3]=>0000000 [3,5,2,7,1,6,4,8]=>[8,4,6,1,7,2,5,3]=>0000000 [3,5,6,1,4,2,7,8]=>[8,7,2,4,1,6,5,3]=>0000000 [3,6,2,4,8,1,7,5]=>[5,7,1,8,4,2,6,3]=>0000000 [3,6,2,7,8,5,1,4]=>[4,1,5,8,7,2,6,3]=>0000000 [3,6,2,7,8,1,4,5]=>[5,4,1,8,7,2,6,3]=>0000000 [3,7,2,1,5,6,4,8]=>[8,4,6,5,1,2,7,3]=>0000000 [3,7,8,4,5,1,6,2]=>[2,6,1,5,4,8,7,3]=>0000000 [3,8,2,1,5,6,7,4]=>[4,7,6,5,1,2,8,3]=>0000000 [8,1,4,5,3,6,7,2]=>[2,7,6,3,5,4,1,8]=>0000001 [4,1,7,3,5,6,8,2]=>[2,8,6,5,3,7,1,4]=>0000000 [3,5,2,4,1,6,7,8]=>[8,7,6,1,4,2,5,3]=>0000000 [4,6,2,3,5,7,1,8]=>[8,1,7,5,3,2,6,4]=>0000000 [2,3,7,8,1,6,5,4]=>[4,5,6,1,8,7,3,2]=>0000000 [2,7,5,1,8,6,3,4]=>[4,3,6,8,1,5,7,2]=>0000000 [2,7,6,1,4,8,3,5]=>[5,3,8,4,1,6,7,2]=>0000000 [2,6,8,1,4,5,7,3]=>[3,7,5,4,1,8,6,2]=>0000000 [6,4,7,5,8,2,3,1]=>[1,3,2,8,5,7,4,6]=>1010000 [6,7,4,1,8,2,3,5]=>[5,3,2,8,1,4,7,6]=>0000000 [7,3,6,1,4,8,2,5]=>[5,2,8,4,1,6,3,7]=>0000000 [6,7,8,1,4,2,5,3]=>[3,5,2,4,1,8,7,6]=>0000100 [6,2,4,5,8,3,7,1]=>[1,7,3,8,5,4,2,6]=>1000000 [5,2,6,1,4,8,3,7]=>[7,3,8,4,1,6,2,5]=>0000000 [6,2,5,1,8,7,3,4]=>[4,3,7,8,1,5,2,6]=>0000000 [7,2,3,5,8,1,4,6]=>[6,4,1,8,5,3,2,7]=>0000000 [2,4,7,6,1,8,3,5]=>[5,3,8,1,6,7,4,2]=>0000000 [2,3,4,8,1,5,7,6]=>[6,7,5,1,8,4,3,2]=>0000000 [2,7,8,5,1,4,6,3]=>[3,6,4,1,5,8,7,2]=>0000000 [2,6,7,8,5,3,1,4]=>[4,1,3,5,8,7,6,2]=>0000000 [7,2,3,8,6,1,5,4]=>[4,5,1,6,8,3,2,7]=>0000000 [5,2,3,4,6,8,1,7]=>[7,1,8,6,4,3,2,5]=>0000000 [7,2,3,4,8,1,6,5]=>[5,6,1,8,4,3,2,7]=>0000000 [3,2,5,7,8,1,6,4]=>[4,6,1,8,7,5,2,3]=>0000000 [5,7,1,6,2,8,4,3]=>[3,4,8,2,6,1,7,5]=>0000000 [5,6,1,8,2,3,7,4]=>[4,7,3,2,8,1,6,5]=>0000000 [5,7,6,1,2,8,3,4]=>[4,3,8,2,1,6,7,5]=>0000000 [5,6,8,1,2,4,7,3]=>[3,7,4,2,1,8,6,5]=>0000000 [5,4,1,6,7,8,2,3]=>[3,2,8,7,6,1,4,5]=>0000000 [7,4,1,5,8,2,6,3]=>[3,6,2,8,5,1,4,7]=>0000000 [5,7,1,8,6,2,3,4]=>[4,3,2,6,8,1,7,5]=>0000000 [4,6,1,3,5,8,2,7]=>[7,2,8,5,3,1,6,4]=>0000000 [4,8,1,3,5,6,7,2]=>[2,7,6,5,3,1,8,4]=>0000000 [8,1,2,3,7,5,6,4]=>[4,6,5,7,3,2,1,8]=>0000001 [2,1,8,3,7,5,6,4]=>[4,6,5,7,3,8,1,2]=>0000000 [5,6,8,3,1,2,7,4]=>[4,7,2,1,3,8,6,5]=>0000000 [5,7,8,3,1,6,2,4]=>[4,2,6,1,3,8,7,5]=>0000000 [5,2,6,8,1,3,7,4]=>[4,7,3,1,8,6,2,5]=>0000000 [1,5,6,7,8,3,2,4]=>[4,2,3,8,7,6,5,1]=>0000000 [1,5,8,3,2,6,7,4]=>[4,7,6,2,3,8,5,1]=>0000000 [7,2,3,1,8,6,5,4]=>[4,5,6,8,1,3,2,7]=>0000000 [1,6,7,8,5,2,3,4]=>[4,3,2,5,8,7,6,1]=>0000000 [6,2,3,7,8,1,4,5]=>[5,4,1,8,7,3,2,6]=>0000000 [4,5,7,8,2,6,1,3]=>[3,1,6,2,8,7,5,4]=>0000000 [4,6,2,8,5,1,7,3]=>[3,7,1,5,8,2,6,4]=>0000000 [4,6,7,1,8,5,2,3]=>[3,2,5,8,1,7,6,4]=>0000000 [4,6,8,1,5,2,7,3]=>[3,7,2,5,1,8,6,4]=>0000000 [4,8,2,1,5,6,7,3]=>[3,7,6,5,1,2,8,4]=>0000000 [1,2,8,4,5,3,7,6]=>[6,7,3,5,4,8,2,1]=>0000000 [1,2,3,8,5,4,7,6]=>[6,7,4,5,8,3,2,1]=>0000000 [5,2,6,7,8,1,4,3]=>[3,4,1,8,7,6,2,5]=>0000000 [5,2,7,8,4,6,1,3]=>[3,1,6,4,8,7,2,5]=>0000000 [7,2,3,8,5,4,1,6]=>[6,1,4,5,8,3,2,7]=>0000000 [5,7,2,8,4,6,1,3]=>[3,1,6,4,8,2,7,5]=>0000000 [6,2,1,7,8,5,4,3]=>[3,4,5,8,7,1,2,6]=>0000000 [5,1,2,8,3,6,4,7]=>[7,4,6,3,8,2,1,5]=>0000000 [7,1,6,3,8,2,4,5]=>[5,4,2,8,3,6,1,7]=>0000000 [4,1,7,2,5,8,3,6]=>[6,3,8,5,2,7,1,4]=>0000000 [8,1,6,3,4,7,2,5]=>[5,2,7,4,3,6,1,8]=>0000001 [4,1,8,2,5,6,7,3]=>[3,7,6,5,2,8,1,4]=>0000000 [3,6,1,2,8,4,7,5]=>[5,7,4,8,2,1,6,3]=>0000000 [6,8,2,7,4,1,3,5]=>[5,3,1,4,7,2,8,6]=>0000000 [6,5,2,8,1,3,7,4]=>[4,7,3,1,8,2,5,6]=>0000000 [5,4,7,1,2,8,3,6]=>[6,3,8,2,1,7,4,5]=>0000000 [8,4,7,1,3,5,2,6]=>[6,2,5,3,1,7,4,8]=>0000001 [8,4,7,1,3,2,6,5]=>[5,6,2,3,1,7,4,8]=>0000001 [8,5,7,3,1,2,6,4]=>[4,6,2,1,3,7,5,8]=>0000001 [3,6,1,8,2,7,4,5]=>[5,4,7,2,8,1,6,3]=>0000000 [8,6,2,1,4,5,3,7]=>[7,3,5,4,1,2,6,8]=>0000001 [8,6,2,3,7,5,1,4]=>[4,1,5,7,3,2,6,8]=>0000001 [7,6,8,1,4,5,2,3]=>[3,2,5,4,1,8,6,7]=>0000100 [3,7,1,4,2,8,6,5]=>[5,6,8,2,4,1,7,3]=>0000000 [2,6,1,5,7,4,8,3]=>[3,8,4,7,5,1,6,2]=>0000000 [2,3,6,1,8,4,7,5]=>[5,7,4,8,1,6,3,2]=>0000000 [5,2,4,6,3,7,8,1]=>[1,8,7,3,6,4,2,5]=>1000000 [2,5,1,7,3,6,8,4]=>[4,8,6,3,7,1,5,2]=>0000000 [2,7,1,5,6,8,4,3]=>[3,4,8,6,5,1,7,2]=>0000000 [5,2,4,7,6,3,8,1]=>[1,8,3,6,7,4,2,5]=>1000000 [8,7,6,1,4,3,5,2]=>[2,5,3,4,1,6,7,8]=>0000111 [8,7,6,1,3,4,5,2]=>[2,5,4,3,1,6,7,8]=>0000111 [8,1,5,6,7,4,3,2]=>[2,3,4,7,6,5,1,8]=>0000001 [4,2,6,1,7,8,5,3]=>[3,5,8,7,1,6,2,4]=>0000000 [1,5,2,6,7,8,4,3]=>[3,4,8,7,6,2,5,1]=>0000000 [4,5,2,7,8,6,1,3]=>[3,1,6,8,7,2,5,4]=>0000000 [4,2,7,8,5,6,1,3]=>[3,1,6,5,8,7,2,4]=>0000000 [5,2,3,4,7,8,6,1]=>[1,6,8,7,4,3,2,5]=>1000000 [5,6,2,7,3,8,4,1]=>[1,4,8,3,7,2,6,5]=>1000000 [3,5,2,8,4,6,7,1]=>[1,7,6,4,8,2,5,3]=>1000000 [3,5,2,4,7,8,6,1]=>[1,6,8,7,4,2,5,3]=>1000000 [7,2,3,4,6,1,5,8]=>[8,5,1,6,4,3,2,7]=>0000000 [3,7,1,5,8,2,4,6]=>[6,4,2,8,5,1,7,3]=>0000000 [5,1,3,8,2,4,6,7]=>[7,6,4,2,8,3,1,5]=>0000000 [4,2,1,3,8,5,6,7]=>[7,6,5,8,3,1,2,4]=>0000000 [1,8,7,6,3,4,5,2]=>[2,5,4,3,6,7,8,1]=>0000000 [8,5,7,6,3,4,1,2]=>[2,1,4,3,6,7,5,8]=>0101001 [4,2,7,8,1,6,5,3]=>[3,5,6,1,8,7,2,4]=>0000000 [7,2,1,4,5,6,3,8]=>[8,3,6,5,4,1,2,7]=>0000000 [6,8,1,4,5,3,7,2]=>[2,7,3,5,4,1,8,6]=>0000000 [5,1,3,4,2,6,7,8]=>[8,7,6,2,4,3,1,5]=>0000000 [2,3,4,5,8,1,7,6]=>[6,7,1,8,5,4,3,2]=>0000000 [2,3,4,8,1,6,7,5]=>[5,7,6,1,8,4,3,2]=>0000000 [2,1,7,5,3,8,6,4]=>[4,6,8,3,5,7,1,2]=>0000000 [5,2,3,4,1,8,6,7]=>[7,6,8,1,4,3,2,5]=>0000000 [3,2,1,6,4,5,7,8]=>[8,7,5,4,6,1,2,3]=>0000000 [6,4,8,7,5,3,2,1]=>[1,2,3,5,7,8,4,6]=>1110000 [7,4,6,8,5,3,2,1]=>[1,2,3,5,8,6,4,7]=>1110000 [7,4,5,8,6,3,2,1]=>[1,2,3,6,8,5,4,7]=>1110000 [7,4,8,5,6,3,2,1]=>[1,2,3,6,5,8,4,7]=>1110000 [7,5,8,6,4,2,1,3]=>[3,1,2,4,6,8,5,7]=>0011000 [5,3,8,6,7,4,2,1]=>[1,2,4,7,6,8,3,5]=>1100000 [7,4,2,1,6,8,5,3]=>[3,5,8,6,1,2,4,7]=>0000000 [6,3,8,7,4,5,2,1]=>[1,2,5,4,7,8,3,6]=>1100000 [7,4,8,5,6,2,1,3]=>[3,1,2,6,5,8,4,7]=>0010000 [7,3,4,5,8,6,2,1]=>[1,2,6,8,5,4,3,7]=>1100000 [7,3,8,4,5,6,2,1]=>[1,2,6,5,4,8,3,7]=>1100000 [1,8,7,2,6,5,4,3]=>[3,4,5,6,2,7,8,1]=>0000000 [1,8,7,6,2,3,4,5]=>[5,4,3,2,6,7,8,1]=>0000000 [6,4,1,7,2,3,8,5]=>[5,8,3,2,7,1,4,6]=>0000000 [7,1,8,2,3,5,4,6]=>[6,4,5,3,2,8,1,7]=>0000000 [6,5,1,2,3,8,4,7]=>[7,4,8,3,2,1,5,6]=>0000000 [1,8,5,2,3,7,4,6]=>[6,4,7,3,2,5,8,1]=>0000000 [6,5,1,2,7,3,8,4]=>[4,8,3,7,2,1,5,6]=>0000000 [7,6,4,1,8,2,3,5]=>[5,3,2,8,1,4,6,7]=>0000000 [5,3,6,1,2,4,8,7]=>[7,8,4,2,1,6,3,5]=>0000000 [5,8,3,1,7,2,4,6]=>[6,4,2,7,1,3,8,5]=>0000000 [7,5,4,1,8,2,3,6]=>[6,3,2,8,1,4,5,7]=>0000000 [4,1,2,8,6,3,7,5]=>[5,7,3,6,8,2,1,4]=>0000000 [5,4,1,6,2,7,8,3]=>[3,8,7,2,6,1,4,5]=>0000000 [6,5,3,1,8,2,4,7]=>[7,4,2,8,1,3,5,6]=>0000000 [3,8,1,6,7,2,4,5]=>[5,4,2,7,6,1,8,3]=>0000000 [6,5,3,7,1,2,8,4]=>[4,8,2,1,7,3,5,6]=>0000000 [4,6,1,5,2,8,3,7]=>[7,3,8,2,5,1,6,4]=>0000000 [1,6,8,5,2,7,3,4]=>[4,3,7,2,5,8,6,1]=>0000000 [3,1,8,7,2,6,4,5]=>[5,4,6,2,7,8,1,3]=>0000000 [7,3,5,6,1,8,2,4]=>[4,2,8,1,6,5,3,7]=>0000000 [1,4,8,2,3,7,6,5]=>[5,6,7,3,2,8,4,1]=>0000000 [3,1,8,2,5,6,7,4]=>[4,7,6,5,2,8,1,3]=>0000000 [5,3,6,7,8,1,2,4]=>[4,2,1,8,7,6,3,5]=>0000000 [4,2,5,6,7,8,3,1]=>[1,3,8,7,6,5,2,4]=>1000000 [4,2,5,6,7,3,8,1]=>[1,8,3,7,6,5,2,4]=>1000000 [7,2,1,8,4,5,6,3]=>[3,6,5,4,8,1,2,7]=>0000000 [4,2,7,1,3,8,6,5]=>[5,6,8,3,1,7,2,4]=>0000000 [5,8,6,3,4,1,7,2]=>[2,7,1,4,3,6,8,5]=>0000000 [8,2,6,3,4,7,1,5]=>[5,1,7,4,3,6,2,8]=>0000001 [6,2,5,8,1,3,7,4]=>[4,7,3,1,8,5,2,6]=>0000000 [7,2,3,4,1,8,6,5]=>[5,6,8,1,4,3,2,7]=>0000000 [5,7,2,6,4,8,1,3]=>[3,1,8,4,6,2,7,5]=>0000000 [5,2,1,3,6,7,8,4]=>[4,8,7,6,3,1,2,5]=>0000000 [6,4,8,7,3,2,1,5]=>[5,1,2,3,7,8,4,6]=>0000000 [6,5,3,8,7,2,1,4]=>[4,1,2,7,8,3,5,6]=>0000000 [6,4,3,8,7,2,1,5]=>[5,1,2,7,8,3,4,6]=>0000000 [5,6,8,1,4,2,7,3]=>[3,7,2,4,1,8,6,5]=>0000000 [5,7,3,1,4,6,2,8]=>[8,2,6,4,1,3,7,5]=>0000000 [5,7,8,1,4,6,2,3]=>[3,2,6,4,1,8,7,5]=>0000000 [5,8,1,4,3,6,7,2]=>[2,7,6,3,4,1,8,5]=>0000000 [6,2,7,8,1,5,3,4]=>[4,3,5,1,8,7,2,6]=>0000000 [6,2,7,4,1,5,3,8]=>[8,3,5,1,4,7,2,6]=>0000000 [6,7,3,8,1,5,2,4]=>[4,2,5,1,8,3,7,6]=>0000000 [6,7,8,1,5,4,2,3]=>[3,2,4,5,1,8,7,6]=>0000100 [4,5,6,7,1,3,2,8]=>[8,2,3,1,7,6,5,4]=>0000000 [6,7,1,4,5,3,2,8]=>[8,2,3,5,4,1,7,6]=>0000000 [7,2,8,4,1,6,5,3]=>[3,5,6,1,4,8,2,7]=>0000000 [7,2,8,4,5,1,6,3]=>[3,6,1,5,4,8,2,7]=>0000000 [4,6,3,8,1,5,7,2]=>[2,7,5,1,8,3,6,4]=>0000000 [4,6,7,3,8,1,2,5]=>[5,2,1,8,3,7,6,4]=>0000000 [4,6,7,8,1,5,3,2]=>[2,3,5,1,8,7,6,4]=>0000000 [4,7,3,8,1,6,5,2]=>[2,5,6,1,8,3,7,4]=>0000000 [4,8,3,2,1,6,7,5]=>[5,7,6,1,2,3,8,4]=>0000000 [1,8,4,2,7,3,5,6]=>[6,5,3,7,2,4,8,1]=>0000000 [1,8,5,2,3,4,7,6]=>[6,7,4,3,2,5,8,1]=>0000000 [1,8,3,2,7,4,5,6]=>[6,5,4,7,2,3,8,1]=>0000000 [6,1,2,8,3,4,7,5]=>[5,7,4,3,8,2,1,6]=>0000000 [5,4,1,2,7,8,3,6]=>[6,3,8,7,2,1,4,5]=>0000000 [6,3,5,1,8,2,4,7]=>[7,4,2,8,1,5,3,6]=>0000000 [6,3,1,5,7,8,2,4]=>[4,2,8,7,5,1,3,6]=>0000000 [3,8,7,1,4,2,5,6]=>[6,5,2,4,1,7,8,3]=>0000000 [7,6,1,3,4,8,2,5]=>[5,2,8,4,3,1,6,7]=>0000000 [1,8,2,7,5,3,6,4]=>[4,6,3,5,7,2,8,1]=>0000000 [3,2,1,8,7,6,4,5]=>[5,4,6,7,8,1,2,3]=>0000000 [3,2,1,8,7,4,5,6]=>[6,5,4,7,8,1,2,3]=>0000000 [3,2,8,7,6,1,5,4]=>[4,5,1,6,7,8,2,3]=>0000000 [6,3,8,7,2,1,5,4]=>[4,5,1,2,7,8,3,6]=>0000000 [4,5,3,8,6,2,7,1]=>[1,7,2,6,8,3,5,4]=>1000000 [4,6,2,8,5,3,7,1]=>[1,7,3,5,8,2,6,4]=>1000000 [4,5,8,3,6,2,7,1]=>[1,7,2,6,3,8,5,4]=>1000000 [6,2,5,3,8,4,7,1]=>[1,7,4,8,3,5,2,6]=>1000000 [6,3,7,4,5,2,8,1]=>[1,8,2,5,4,7,3,6]=>1000000 [4,6,8,7,3,2,1,5]=>[5,1,2,3,7,8,6,4]=>0000000 [2,4,8,7,6,5,1,3]=>[3,1,5,6,7,8,4,2]=>0000000 [4,7,6,8,3,2,1,5]=>[5,1,2,3,8,6,7,4]=>0000000 [3,5,6,8,7,2,1,4]=>[4,1,2,7,8,6,5,3]=>0000000 [2,3,6,7,8,4,1,5]=>[5,1,4,8,7,6,3,2]=>0000000 [2,3,5,7,1,6,8,4]=>[4,8,6,1,7,5,3,2]=>0000000 [2,5,6,7,3,1,8,4]=>[4,8,1,3,7,6,5,2]=>0000000 [2,5,7,6,3,8,4,1]=>[1,4,8,3,6,7,5,2]=>1000000 [2,6,7,5,8,3,4,1]=>[1,4,3,8,5,7,6,2]=>1000000 [2,4,7,1,5,8,3,6]=>[6,3,8,5,1,7,4,2]=>0000000 [2,4,6,1,5,8,3,7]=>[7,3,8,5,1,6,4,2]=>0000000 [2,4,5,1,8,7,3,6]=>[6,3,7,8,1,5,4,2]=>0000000 [3,6,1,7,8,4,2,5]=>[5,2,4,8,7,1,6,3]=>0000000 [4,3,6,2,8,1,7,5]=>[5,7,1,8,2,6,3,4]=>0000000 [4,5,7,2,1,8,3,6]=>[6,3,8,1,2,7,5,4]=>0000000 [3,4,1,7,8,2,6,5]=>[5,6,2,8,7,1,4,3]=>0000000 [3,6,1,7,2,5,8,4]=>[4,8,5,2,7,1,6,3]=>0000000 [6,3,4,7,2,5,8,1]=>[1,8,5,2,7,4,3,6]=>1000000 [6,3,7,8,2,5,1,4]=>[4,1,5,2,8,7,3,6]=>0000000 [4,7,6,5,2,8,3,1]=>[1,3,8,2,5,6,7,4]=>1000000 [4,6,8,5,2,1,7,3]=>[3,7,1,2,5,8,6,4]=>0000000 [3,6,1,4,5,7,8,2]=>[2,8,7,5,4,1,6,3]=>0000000 [4,3,7,5,6,2,8,1]=>[1,8,2,6,5,7,3,4]=>1000000 [4,3,5,7,8,2,6,1]=>[1,6,2,8,7,5,3,4]=>1000000 [4,7,8,5,6,2,1,3]=>[3,1,2,6,5,8,7,4]=>0010000 [3,5,1,4,8,7,2,6]=>[6,2,7,8,4,1,5,3]=>0000000 [4,5,6,3,8,2,1,7]=>[7,1,2,8,3,6,5,4]=>0000000 [5,1,2,7,8,6,4,3]=>[3,4,6,8,7,2,1,5]=>0000000 [4,1,5,8,7,3,2,6]=>[6,2,3,7,8,5,1,4]=>0000000 [5,1,8,2,7,6,3,4]=>[4,3,6,7,2,8,1,5]=>0000000 [5,2,1,6,8,4,7,3]=>[3,7,4,8,6,1,2,5]=>0000000 [4,5,2,8,7,1,6,3]=>[3,6,1,7,8,2,5,4]=>0000000 [5,2,8,1,7,4,3,6]=>[6,3,4,7,1,8,2,5]=>0000000 [5,2,1,3,8,4,7,6]=>[6,7,4,8,3,1,2,5]=>0000000 [8,2,1,7,3,5,4,6]=>[6,4,5,3,7,1,2,8]=>0000001 [6,2,1,7,8,4,3,5]=>[5,3,4,8,7,1,2,6]=>0000000 [5,2,3,6,8,4,7,1]=>[1,7,4,8,6,3,2,5]=>1000000 [5,1,8,6,4,7,2,3]=>[3,2,7,4,6,8,1,5]=>0000000 [6,1,2,8,3,7,4,5]=>[5,4,7,3,8,2,1,6]=>0000000 [5,6,7,3,8,1,2,4]=>[4,2,1,8,3,7,6,5]=>0000000 [7,1,6,3,4,2,8,5]=>[5,8,2,4,3,6,1,7]=>0000000 [7,2,3,4,1,5,8,6]=>[6,8,5,1,4,3,2,7]=>0000000 [3,7,8,1,4,5,2,6]=>[6,2,5,4,1,8,7,3]=>0000000 [3,8,5,7,2,4,1,6]=>[6,1,4,2,7,5,8,3]=>0000000 [8,5,7,3,1,6,2,4]=>[4,2,6,1,3,7,5,8]=>0000001 [4,6,5,8,2,3,7,1]=>[1,7,3,2,8,5,6,4]=>1000000 [3,8,6,1,4,7,2,5]=>[5,2,7,4,1,6,8,3]=>0000000 [3,8,7,1,2,5,6,4]=>[4,6,5,2,1,7,8,3]=>0000000 [3,4,8,2,5,6,7,1]=>[1,7,6,5,2,8,4,3]=>1000000 [6,3,4,5,1,2,8,7]=>[7,8,2,1,5,4,3,6]=>0000000 [6,3,2,5,8,7,4,1]=>[1,4,7,8,5,2,3,6]=>1000000 [6,3,4,8,7,5,1,2]=>[2,1,5,7,8,4,3,6]=>0100000 [8,5,4,6,2,7,1,3]=>[3,1,7,2,6,4,5,8]=>0000001 [4,8,5,6,2,7,1,3]=>[3,1,7,2,6,5,8,4]=>0000000 [6,8,4,5,7,2,3,1]=>[1,3,2,7,5,4,8,6]=>1010000 [7,3,2,6,8,5,4,1]=>[1,4,5,8,6,2,3,7]=>1000000 [4,8,5,3,2,7,6,1]=>[1,6,7,2,3,5,8,4]=>1000000 [7,3,5,6,8,1,4,2]=>[2,4,1,8,6,5,3,7]=>0000000 [8,3,4,7,6,5,1,2]=>[2,1,5,6,7,4,3,8]=>0100001 [7,4,8,3,6,5,2,1]=>[1,2,5,6,3,8,4,7]=>1100000 [7,4,6,8,3,5,2,1]=>[1,2,5,3,8,6,4,7]=>1100000 [2,4,5,7,6,8,1,3]=>[3,1,8,6,7,5,4,2]=>0000000 [2,5,4,6,7,8,1,3]=>[3,1,8,7,6,4,5,2]=>0000000 [3,6,7,5,4,1,8,2]=>[2,8,1,4,5,7,6,3]=>0000000 [4,3,1,2,6,7,8,5]=>[5,8,7,6,2,1,3,4]=>0000000 [7,4,6,5,8,3,2,1]=>[1,2,3,8,5,6,4,7]=>1110000 [2,5,8,6,7,3,1,4]=>[4,1,3,7,6,8,5,2]=>0000000 [2,3,4,1,8,7,5,6]=>[6,5,7,8,1,4,3,2]=>0000000 [4,2,6,5,1,8,7,3]=>[3,7,8,1,5,6,2,4]=>0000000 [6,5,4,1,3,2,8,7]=>[7,8,2,3,1,4,5,6]=>0000000 [6,5,4,2,1,3,8,7]=>[7,8,3,1,2,4,5,6]=>0000000 [8,7,4,3,6,1,5,2]=>[2,5,1,6,3,4,7,8]=>0000011 [7,8,4,2,1,5,6,3]=>[3,6,5,1,2,4,8,7]=>0000010 [6,8,2,7,3,5,4,1]=>[1,4,5,3,7,2,8,6]=>1000000 [7,5,8,3,2,4,6,1]=>[1,6,4,2,3,8,5,7]=>1000000 [7,5,8,1,3,4,6,2]=>[2,6,4,3,1,8,5,7]=>0000000 [8,6,7,3,4,1,5,2]=>[2,5,1,4,3,7,6,8]=>0000101 [8,3,2,7,6,4,1,5]=>[5,1,4,6,7,2,3,8]=>0000001 [8,5,4,1,3,7,6,2]=>[2,6,7,3,1,4,5,8]=>0000001 [5,8,2,3,4,7,6,1]=>[1,6,7,4,3,2,8,5]=>1000000 [6,8,2,7,3,4,1,5]=>[5,1,4,3,7,2,8,6]=>0000000 [3,6,5,4,8,7,1,2]=>[2,1,7,8,4,5,6,3]=>0100000 [4,5,1,6,3,2,8,7]=>[7,8,2,3,6,1,5,4]=>0000000 [1,6,7,4,3,2,8,5]=>[5,8,2,3,4,7,6,1]=>0000000 [1,6,5,2,3,4,8,7]=>[7,8,4,3,2,5,6,1]=>0000000 [1,3,2,6,5,8,4,7]=>[7,4,8,5,6,2,3,1]=>0000000 [2,1,5,7,8,4,3,6]=>[6,3,4,8,7,5,1,2]=>0000000 [4,3,7,6,5,8,1,2]=>[2,1,8,5,6,7,3,4]=>0100000 [3,7,8,5,4,6,1,2]=>[2,1,6,4,5,8,7,3]=>0100000 [4,7,5,2,3,6,8,1]=>[1,8,6,3,2,5,7,4]=>1000000 [4,3,5,8,7,2,6,1]=>[1,6,2,7,8,5,3,4]=>1000000 [2,3,4,8,7,5,6,1]=>[1,6,5,7,8,4,3,2]=>1000000 [5,6,7,2,4,8,1,3]=>[3,1,8,4,2,7,6,5]=>0000000 [6,4,7,5,8,3,2,1]=>[1,2,3,8,5,7,4,6]=>1110000 [1,8,5,6,7,3,4,2]=>[2,4,3,7,6,5,8,1]=>0000000 [4,8,3,2,6,7,5,1]=>[1,5,7,6,2,3,8,4]=>1000000 [3,4,8,7,6,1,5,2]=>[2,5,1,6,7,8,4,3]=>0000000 [3,7,8,5,6,4,2,1]=>[1,2,4,6,5,8,7,3]=>1100000 [4,3,7,5,8,6,2,1]=>[1,2,6,8,5,7,3,4]=>1100000 [5,4,6,2,3,1,8,7]=>[7,8,1,3,2,6,4,5]=>0000000 [6,3,1,5,4,2,8,7]=>[7,8,2,4,5,1,3,6]=>0000000 [6,4,5,3,2,1,8,7]=>[7,8,1,2,3,5,4,6]=>0000000 [7,8,3,4,6,5,1,2]=>[2,1,5,6,4,3,8,7]=>0100010 [2,1,7,6,8,4,5,3]=>[3,5,4,8,6,7,1,2]=>0000000 [2,1,8,5,3,7,6,4]=>[4,6,7,3,5,8,1,2]=>0000000 [6,4,7,5,2,8,3,1]=>[1,3,8,2,5,7,4,6]=>1000000 [6,5,4,2,7,8,3,1]=>[1,3,8,7,2,4,5,6]=>1000000 [2,1,8,6,7,5,4,3]=>[3,4,5,7,6,8,1,2]=>0000000 [4,3,1,5,8,7,6,2]=>[2,6,7,8,5,1,3,4]=>0000000 [8,6,3,4,2,7,5,1]=>[1,5,7,2,4,3,6,8]=>1000001 [7,6,3,4,2,8,1,5]=>[5,1,8,2,4,3,6,7]=>0000000 [5,1,3,2,6,4,7,8]=>[8,7,4,6,2,3,1,5]=>0000000 [3,5,4,2,8,6,1,7]=>[7,1,6,8,2,4,5,3]=>0000000 [5,6,8,7,3,2,1,4]=>[4,1,2,3,7,8,6,5]=>0001000 [6,2,7,4,3,1,8,5]=>[5,8,1,3,4,7,2,6]=>0000000 [7,4,1,3,2,6,8,5]=>[5,8,6,2,3,1,4,7]=>0000000 [7,6,5,8,1,2,4,3]=>[3,4,2,1,8,5,6,7]=>0001000 [7,2,3,6,8,1,4,5]=>[5,4,1,8,6,3,2,7]=>0000000 [4,3,8,2,5,6,7,1]=>[1,7,6,5,2,8,3,4]=>1000000 [5,4,8,2,3,6,7,1]=>[1,7,6,3,2,8,4,5]=>1000000 [3,2,8,1,6,7,4,5]=>[5,4,7,6,1,8,2,3]=>0000000 [7,2,6,3,8,1,5,4]=>[4,5,1,8,3,6,2,7]=>0000000 [6,3,4,5,8,2,7,1]=>[1,7,2,8,5,4,3,6]=>1000000 [7,3,8,1,4,5,6,2]=>[2,6,5,4,1,8,3,7]=>0000000 [7,3,4,5,8,1,6,2]=>[2,6,1,8,5,4,3,7]=>0000000 [7,4,8,1,5,6,2,3]=>[3,2,6,5,1,8,4,7]=>0000000 [7,2,8,1,6,5,4,3]=>[3,4,5,6,1,8,2,7]=>0000000 [3,8,5,1,7,6,4,2]=>[2,4,6,7,1,5,8,3]=>0000000 [2,8,1,3,5,6,7,4]=>[4,7,6,5,3,1,8,2]=>0000000 [2,4,8,7,5,6,3,1]=>[1,3,6,5,7,8,4,2]=>1000000 [3,8,5,2,6,7,4,1]=>[1,4,7,6,2,5,8,3]=>1000000 [1,2,5,3,7,6,8,4]=>[4,8,6,7,3,5,2,1]=>0000000 [8,3,7,2,5,6,4,1]=>[1,4,6,5,2,7,3,8]=>1000001 [3,7,8,1,5,6,2,4]=>[4,2,6,5,1,8,7,3]=>0000000 [4,1,3,7,6,8,5,2]=>[2,5,8,6,7,3,1,4]=>0000000 [6,5,7,8,1,4,3,2]=>[2,3,4,1,8,7,5,6]=>0001000 [5,8,7,6,2,1,3,4]=>[4,3,1,2,6,7,8,5]=>0001000 [4,3,8,5,7,2,6,1]=>[1,6,2,7,5,8,3,4]=>1000000 [6,4,8,3,7,5,2,1]=>[1,2,5,7,3,8,4,6]=>1100000 [3,6,8,2,5,7,4,1]=>[1,4,7,5,2,8,6,3]=>1000000 [8,3,5,6,2,7,4,1]=>[1,4,7,2,6,5,3,8]=>1000001 [8,7,3,5,2,6,4,1]=>[1,4,6,2,5,3,7,8]=>1000011 [8,7,3,4,1,6,5,2]=>[2,5,6,1,4,3,7,8]=>0000011 [3,5,8,7,4,6,2,1]=>[1,2,6,4,7,8,5,3]=>1100000 [4,8,5,6,3,7,1,2]=>[2,1,7,3,6,5,8,4]=>0100000 [6,4,2,7,8,5,3,1]=>[1,3,5,8,7,2,4,6]=>1000000 [4,7,8,5,6,2,3,1]=>[1,3,2,6,5,8,7,4]=>1010000 [3,5,6,7,8,2,4,1]=>[1,4,2,8,7,6,5,3]=>1000000 [5,2,4,1,6,7,8,3]=>[3,8,7,6,1,4,2,5]=>0000000 [4,5,3,6,1,7,8,2]=>[2,8,7,1,6,3,5,4]=>0000000 [7,8,4,5,1,6,3,2]=>[2,3,6,1,5,4,8,7]=>0000010 [7,6,5,3,8,4,2,1]=>[1,2,4,8,3,5,6,7]=>1100000 [4,5,6,8,3,7,2,1]=>[1,2,7,3,8,6,5,4]=>1100000 [8,7,4,3,6,5,1,2]=>[2,1,5,6,3,4,7,8]=>0100011 [6,1,2,5,4,3,8,7]=>[7,8,3,4,5,2,1,6]=>0000000 [2,8,6,3,4,7,1,5]=>[5,1,7,4,3,6,8,2]=>0000000 [8,5,2,1,6,3,4,7]=>[7,4,3,6,1,2,5,8]=>0000001 [8,1,2,3,7,6,5,4]=>[4,5,6,7,3,2,1,8]=>0000001 [2,8,1,6,7,5,3,4]=>[4,3,5,7,6,1,8,2]=>0000000 [4,8,5,2,7,1,6,3]=>[3,6,1,7,2,5,8,4]=>0000000 [8,3,1,5,7,6,2,4]=>[4,2,6,7,5,1,3,8]=>0000001 [8,4,5,1,3,6,2,7]=>[7,2,6,3,1,5,4,8]=>0000001 [8,1,2,3,6,7,5,4]=>[4,5,7,6,3,2,1,8]=>0000001 [5,4,1,3,2,8,7,6]=>[6,7,8,2,3,1,4,5]=>0000000 [5,4,2,1,3,8,7,6]=>[6,7,8,3,1,2,4,5]=>0000000 [3,2,7,4,1,6,5,8]=>[8,5,6,1,4,7,2,3]=>0000000 [8,7,4,6,1,3,5,2]=>[2,5,3,1,6,4,7,8]=>0000011 [6,8,1,3,2,4,5,7]=>[7,5,4,2,3,1,8,6]=>0000000 [5,2,8,1,4,3,7,6]=>[6,7,3,4,1,8,2,5]=>0000000 [7,1,6,8,2,4,5,3]=>[3,5,4,2,8,6,1,7]=>0000000 [8,6,1,3,7,5,2,4]=>[4,2,5,7,3,1,6,8]=>0000001 [5,8,3,1,4,6,2,7]=>[7,2,6,4,1,3,8,5]=>0000000 [5,8,6,2,3,1,4,7]=>[7,4,1,3,2,6,8,5]=>0000000 [5,8,7,3,2,4,6,1]=>[1,6,4,2,3,7,8,5]=>1000000 [7,6,2,8,3,5,4,1]=>[1,4,5,3,8,2,6,7]=>1000000 [8,2,6,3,1,4,7,5]=>[5,7,4,1,3,6,2,8]=>0000001 [8,3,2,7,6,1,4,5]=>[5,4,1,6,7,2,3,8]=>0000001 [5,8,4,3,2,7,6,1]=>[1,6,7,2,3,4,8,5]=>1000000 [2,4,6,8,7,3,5,1]=>[1,5,3,7,8,6,4,2]=>1000000 [6,8,5,7,2,3,4,1]=>[1,4,3,2,7,5,8,6]=>1001000 [6,3,5,7,8,2,4,1]=>[1,4,2,8,7,5,3,6]=>1000000 [3,5,6,8,7,2,4,1]=>[1,4,2,7,8,6,5,3]=>1000000 [3,8,6,5,1,7,2,4]=>[4,2,7,1,5,6,8,3]=>0000000 [6,5,8,3,7,4,2,1]=>[1,2,4,7,3,8,5,6]=>1100000 [6,7,4,3,8,5,2,1]=>[1,2,5,8,3,4,7,6]=>1100000 [2,6,8,5,4,7,3,1]=>[1,3,7,4,5,8,6,2]=>1000000 [7,2,4,5,8,6,3,1]=>[1,3,6,8,5,4,2,7]=>1000000 [2,7,4,6,8,5,3,1]=>[1,3,5,8,6,4,7,2]=>1000000 [6,4,7,8,3,5,2,1]=>[1,2,5,3,8,7,4,6]=>1100000 [8,4,6,7,5,3,2,1]=>[1,2,3,5,7,6,4,8]=>1110001 [5,2,4,1,6,3,8,7]=>[7,8,3,6,1,4,2,5]=>0000000 [4,3,7,2,6,1,8,5]=>[5,8,1,6,2,7,3,4]=>0000000 [6,3,5,2,7,4,8,1]=>[1,8,4,7,2,5,3,6]=>1000000 [4,5,7,2,6,1,8,3]=>[3,8,1,6,2,7,5,4]=>0000000 [7,5,4,2,6,1,8,3]=>[3,8,1,6,2,4,5,7]=>0000000 [2,1,7,4,6,3,8,5]=>[5,8,3,6,4,7,1,2]=>0000000 [4,5,7,3,6,2,8,1]=>[1,8,2,6,3,7,5,4]=>1000000 [7,5,4,2,6,3,8,1]=>[1,8,3,6,2,4,5,7]=>1000000 [4,5,7,2,6,3,8,1]=>[1,8,3,6,2,7,5,4]=>1000000 [7,2,4,3,6,1,8,5]=>[5,8,1,6,3,4,2,7]=>0000000 [6,2,4,3,7,5,8,1]=>[1,8,5,7,3,4,2,6]=>1000000 [2,4,7,6,3,5,8,1]=>[1,8,5,3,6,7,4,2]=>1000000 [6,7,4,8,3,5,2,1]=>[1,2,5,3,8,4,7,6]=>1100000 [2,1,5,8,7,4,6,3]=>[3,6,4,7,8,5,1,2]=>0000000 [5,8,3,6,4,7,2,1]=>[1,2,7,4,6,3,8,5]=>1100000 [7,5,3,6,8,4,2,1]=>[1,2,4,8,6,3,5,7]=>1100000 [8,4,3,5,7,2,6,1]=>[1,6,2,7,5,3,4,8]=>1000001 [4,7,8,6,3,5,2,1]=>[1,2,5,3,6,8,7,4]=>1100000 [6,8,7,4,5,3,2,1]=>[1,2,3,5,4,7,8,6]=>1110100 [7,1,3,8,4,6,5,2]=>[2,5,6,4,8,3,1,7]=>0000000 [1,8,6,7,3,4,5,2]=>[2,5,4,3,7,6,8,1]=>0000000 [3,5,2,6,1,4,8,7]=>[7,8,4,1,6,2,5,3]=>0000000 [4,5,7,2,3,8,6,1]=>[1,6,8,3,2,7,5,4]=>1000000 [4,5,7,2,3,8,1,6]=>[6,1,8,3,2,7,5,4]=>0000000 [4,5,6,2,3,1,8,7]=>[7,8,1,3,2,6,5,4]=>0000000 [4,5,6,2,1,3,8,7]=>[7,8,3,1,2,6,5,4]=>0000000 [4,5,6,1,3,2,8,7]=>[7,8,2,3,1,6,5,4]=>0000000 [4,5,6,3,1,2,8,7]=>[7,8,2,1,3,6,5,4]=>0000000 [4,5,7,3,2,8,1,6]=>[6,1,8,2,3,7,5,4]=>0000000 [4,6,7,3,8,2,5,1]=>[1,5,2,8,3,7,6,4]=>1000000 [4,6,7,3,8,2,1,5]=>[5,1,2,8,3,7,6,4]=>0000000 [4,5,7,3,1,8,2,6]=>[6,2,8,1,3,7,5,4]=>0000000 [3,5,1,7,4,8,2,6]=>[6,2,8,4,7,1,5,3]=>0000000 [2,1,5,7,4,8,3,6]=>[6,3,8,4,7,5,1,2]=>0000000 [4,5,7,1,3,8,6,2]=>[2,6,8,3,1,7,5,4]=>0000000 [4,6,7,3,8,1,5,2]=>[2,5,1,8,3,7,6,4]=>0000000 [5,6,7,8,3,1,4,2]=>[2,4,1,3,8,7,6,5]=>0001000 [4,6,7,1,8,3,5,2]=>[2,5,3,8,1,7,6,4]=>0000000 [3,6,1,7,8,4,5,2]=>[2,5,4,8,7,1,6,3]=>0000000 [2,1,6,7,8,4,5,3]=>[3,5,4,8,7,6,1,2]=>0000000 [2,1,6,7,8,4,3,5]=>[5,3,4,8,7,6,1,2]=>0000000 [4,6,7,1,8,3,2,5]=>[5,2,3,8,1,7,6,4]=>0000000 [5,6,7,8,1,3,2,4]=>[4,2,3,1,8,7,6,5]=>0001000 [4,6,7,2,8,3,5,1]=>[1,5,3,8,2,7,6,4]=>1000000 [3,6,2,7,8,4,5,1]=>[1,5,4,8,7,2,6,3]=>1000000 [3,6,2,7,8,4,1,5]=>[5,1,4,8,7,2,6,3]=>0000000 [3,4,2,1,7,8,5,6]=>[6,5,8,7,1,2,4,3]=>0000000 [4,6,7,2,8,5,3,1]=>[1,3,5,8,2,7,6,4]=>1000000 [4,6,7,2,8,5,1,3]=>[3,1,5,8,2,7,6,4]=>0000000 [4,5,7,1,2,8,6,3]=>[3,6,8,2,1,7,5,4]=>0000000 [2,1,6,7,8,3,5,4]=>[4,5,3,8,7,6,1,2]=>0000000 [3,6,1,7,8,2,5,4]=>[4,5,2,8,7,1,6,3]=>0000000 [4,6,7,1,8,2,5,3]=>[3,5,2,8,1,7,6,4]=>0000000 [5,6,7,8,1,2,4,3]=>[3,4,2,1,8,7,6,5]=>0001000 [5,6,7,8,2,4,1,3]=>[3,1,4,2,8,7,6,5]=>0001000 [5,6,7,8,2,4,3,1]=>[1,3,4,2,8,7,6,5]=>1001000 [3,6,1,7,8,5,2,4]=>[4,2,5,8,7,1,6,3]=>0000000 [2,1,6,7,8,5,3,4]=>[4,3,5,8,7,6,1,2]=>0000000 [3,4,2,1,6,5,8,7,10,9]=>[9,10,7,8,5,6,1,2,4,3]=>000000000 [3,5,2,6,4,1,8,7,10,9]=>[9,10,7,8,1,4,6,2,5,3]=>000000000 [3,5,2,7,4,8,6,1,10,9]=>[9,10,1,6,8,4,7,2,5,3]=>000000000 [2,1,5,6,4,3,8,7,10,9]=>[9,10,7,8,3,4,6,5,1,2]=>000000000 [4,5,6,3,2,1,8,7,10,9]=>[9,10,7,8,1,2,3,6,5,4]=>000000000 [4,5,7,3,2,8,6,1,10,9]=>[9,10,1,6,8,2,3,7,5,4]=>000000000 [4,5,7,3,2,9,6,10,8,1]=>[1,8,10,6,9,2,3,7,5,4]=>100000000 [2,1,5,7,4,8,6,3,10,9]=>[9,10,3,6,8,4,7,5,1,2]=>000000000 [4,6,7,3,8,5,2,1,10,9]=>[9,10,1,2,5,8,3,7,6,4]=>000000000 [4,6,7,3,9,5,2,10,8,1]=>[1,8,10,2,5,9,3,7,6,4]=>100000000 [2,1,5,7,4,9,6,10,8,3]=>[3,8,10,6,9,4,7,5,1,2]=>000000000 [2,1,4,3,7,8,6,5,10,9]=>[9,10,5,6,8,7,3,4,1,2]=>000000000 [3,4,2,1,7,8,6,5,10,9]=>[9,10,5,6,8,7,1,2,4,3]=>000000000 [3,6,2,7,8,5,4,1,10,9]=>[9,10,1,4,5,8,7,2,6,3]=>000000000 [3,6,2,7,9,5,4,10,8,1]=>[1,8,10,4,5,9,7,2,6,3]=>100000000 [2,1,6,7,8,5,4,3,10,9]=>[9,10,3,4,5,8,7,6,1,2]=>000000000 [5,6,7,8,4,3,2,1,10,9]=>[9,10,1,2,3,4,8,7,6,5]=>000000000 [5,6,7,9,4,3,2,10,8,1]=>[1,8,10,2,3,4,9,7,6,5]=>100000000 [2,1,6,7,9,5,4,10,8,3]=>[3,8,10,4,5,9,7,6,1,2]=>000000000 [5,6,8,9,4,3,10,7,2,1]=>[1,2,7,10,3,4,9,8,6,5]=>110000000 [2,1,4,3,7,9,6,10,8,5]=>[5,8,10,6,9,7,3,4,1,2]=>000000000 [3,4,2,1,7,9,6,10,8,5]=>[5,8,10,6,9,7,1,2,4,3]=>000000000 [3,6,2,8,9,5,10,7,4,1]=>[1,4,7,10,5,9,8,2,6,3]=>100000000 [2,1,6,8,9,5,10,7,4,3]=>[3,4,7,10,5,9,8,6,1,2]=>000000000 [2,1,4,3,6,5,9,10,8,7]=>[7,8,10,9,5,6,3,4,1,2]=>000000000 [3,4,2,1,6,5,9,10,8,7]=>[7,8,10,9,5,6,1,2,4,3]=>000000000 [3,5,2,6,4,1,9,10,8,7]=>[7,8,10,9,1,4,6,2,5,3]=>000000000 [3,5,2,8,4,9,10,7,6,1]=>[1,6,7,10,9,4,8,2,5,3]=>100000000 [2,1,5,6,4,3,9,10,8,7]=>[7,8,10,9,3,4,6,5,1,2]=>000000000 [4,5,6,3,2,1,9,10,8,7]=>[7,8,10,9,1,2,3,6,5,4]=>000000000 [4,5,8,3,2,9,10,7,6,1]=>[1,6,7,10,9,2,3,8,5,4]=>100000000 [2,1,5,8,4,9,10,7,6,3]=>[3,6,7,10,9,4,8,5,1,2]=>000000000 [4,7,8,3,9,10,6,5,2,1]=>[1,2,5,6,10,9,3,8,7,4]=>110000000 [2,1,4,3,8,9,10,7,6,5]=>[5,6,7,10,9,8,3,4,1,2]=>000000000 [3,4,2,1,8,9,10,7,6,5]=>[5,6,7,10,9,8,1,2,4,3]=>000000000 [3,7,2,8,9,10,6,5,4,1]=>[1,4,5,6,10,9,8,2,7,3]=>100000000 [5,3,1,6,2,4,8,7]=>[7,8,4,2,6,1,3,5]=>0000000 [7,3,1,5,2,8,4,6]=>[6,4,8,2,5,1,3,7]=>0000000 [8,4,5,1,2,7,3,6]=>[6,3,7,2,1,5,4,8]=>0000001 [7,4,5,1,2,8,3,6]=>[6,3,8,2,1,5,4,7]=>0000000 [6,4,5,1,2,3,8,7]=>[7,8,3,2,1,5,4,6]=>0000000 [5,4,6,1,2,3,8,7]=>[7,8,3,2,1,6,4,5]=>0000000 [3,6,1,5,2,4,8,7]=>[7,8,4,2,5,1,6,3]=>0000000 [4,6,5,1,2,3,8,7]=>[7,8,3,2,1,5,6,4]=>0000000 [5,6,4,1,2,3,8,7]=>[7,8,3,2,1,4,6,5]=>0000000 [7,5,4,1,2,8,3,6]=>[6,3,8,2,1,4,5,7]=>0000000 [8,6,4,1,7,2,3,5]=>[5,3,2,7,1,4,6,8]=>0000001 [5,7,4,1,2,8,3,6]=>[6,3,8,2,1,4,7,5]=>0000000 [3,7,1,5,2,8,4,6]=>[6,4,8,2,5,1,7,3]=>0000000 [2,1,7,5,3,8,4,6]=>[6,4,8,3,5,7,1,2]=>0000000 [4,8,5,1,2,7,3,6]=>[6,3,7,2,1,5,8,4]=>0000000 [6,8,4,1,7,2,3,5]=>[5,3,2,7,1,4,8,6]=>0000000 [4,8,6,1,7,2,3,5]=>[5,3,2,7,1,6,8,4]=>0000000 [2,1,8,6,7,3,4,5]=>[5,4,3,7,6,8,1,2]=>0000000 [2,1,7,6,8,3,4,5]=>[5,4,3,8,6,7,1,2]=>0000000 [4,7,6,1,8,2,3,5]=>[5,3,2,8,1,6,7,4]=>0000000 [5,7,6,8,1,2,3,4]=>[4,3,2,1,8,6,7,5]=>0001000 [6,4,7,1,8,2,3,5]=>[5,3,2,8,1,7,4,6]=>0000000 [8,4,6,1,7,2,3,5]=>[5,3,2,7,1,6,4,8]=>0000001 [8,3,1,6,7,2,4,5]=>[5,4,2,7,6,1,3,8]=>0000001 [4,3,1,2,7,8,5,6]=>[6,5,8,7,2,1,3,4]=>0000000 [8,4,7,1,6,2,3,5]=>[5,3,2,6,1,7,4,8]=>0000001 [7,4,8,1,6,2,3,5]=>[5,3,2,6,1,8,4,7]=>0000000 [4,5,8,1,2,7,3,6]=>[6,3,7,2,1,8,5,4]=>0000000 [2,1,6,8,7,3,4,5]=>[5,4,3,7,8,6,1,2]=>0000000 [4,6,8,1,7,2,3,5]=>[5,3,2,7,1,8,6,4]=>0000000 [5,6,8,7,1,2,3,4]=>[4,3,2,1,7,8,6,5]=>0001000 [8,5,7,6,1,2,3,4]=>[4,3,2,1,6,7,5,8]=>0001001 [4,7,8,1,6,2,3,5]=>[5,3,2,6,1,8,7,4]=>0000000 [3,7,1,8,6,2,4,5]=>[5,4,2,6,8,1,7,3]=>0000000 [3,8,1,7,6,2,4,5]=>[5,4,2,6,7,1,8,3]=>0000000 [4,8,7,1,6,2,3,5]=>[5,3,2,6,1,7,8,4]=>0000000 [6,8,7,5,1,2,3,4]=>[4,3,2,1,5,7,8,6]=>0001100 [6,4,7,3,8,5,1,2]=>[2,1,5,8,3,7,4,6]=>0100000 [5,4,2,7,6,1,3,8]=>[8,3,1,6,7,2,4,5]=>0000000 [5,4,2,7,6,1,8,3]=>[3,8,1,6,7,2,4,5]=>0000000 [5,4,3,7,6,8,1,2]=>[2,1,8,6,7,3,4,5]=>0100000 [5,4,3,6,8,7,1,2]=>[2,1,7,8,6,3,4,5]=>0100000 [5,4,2,6,7,1,8,3]=>[3,8,1,7,6,2,4,5]=>0000000 [5,3,2,6,1,8,4,7]=>[7,4,8,1,6,2,3,5]=>0000000 [6,3,8,2,1,5,4,7]=>[7,4,5,1,2,8,3,6]=>0000000 [7,8,3,2,1,5,4,6]=>[6,4,5,1,2,3,8,7]=>0000010 [7,8,3,2,1,5,6,4]=>[4,6,5,1,2,3,8,7]=>0000010 [5,3,2,7,1,6,4,8]=>[8,4,6,1,7,2,3,5]=>0000000 [6,3,7,2,1,8,5,4]=>[4,5,8,1,2,7,3,6]=>0000000 [5,4,2,8,7,1,3,6]=>[6,3,1,7,8,2,4,5]=>0000000 [7,8,3,2,1,6,4,5]=>[5,4,6,1,2,3,8,7]=>0000010 [5,3,2,8,1,7,4,6]=>[6,4,7,1,8,2,3,5]=>0000000 [4,3,2,1,8,7,5,6]=>[6,5,7,8,1,2,3,4]=>0000000 [4,3,2,1,7,5,8,6]=>[6,8,5,7,1,2,3,4]=>0000000 [4,3,2,1,7,5,6,8]=>[8,6,5,7,1,2,3,4]=>0000000 [5,3,2,8,1,4,7,6]=>[6,7,4,1,8,2,3,5]=>0000000 [7,8,3,2,1,4,6,5]=>[5,6,4,1,2,3,8,7]=>0000010 [4,3,2,1,8,5,6,7]=>[7,6,5,8,1,2,3,4]=>0000000 [7,8,5,6,1,2,4,3]=>[3,4,2,1,6,5,8,7]=>0001010 [7,8,4,1,6,2,5,3]=>[3,5,2,6,1,4,8,7]=>0000010 [1,6,8,3,2,7,5,4]=>[4,5,7,2,3,8,6,1]=>0000000 [6,1,8,3,2,7,5,4]=>[4,5,7,2,3,8,1,6]=>0000000 [7,8,1,3,2,6,5,4]=>[4,5,6,2,3,1,8,7]=>0000010 [7,8,3,1,2,6,5,4]=>[4,5,6,2,1,3,8,7]=>0000010 [7,8,2,3,1,6,5,4]=>[4,5,6,1,3,2,8,7]=>0000010 [7,8,2,1,3,6,5,4]=>[4,5,6,3,1,2,8,7]=>0000010 [7,8,1,2,3,6,5,4]=>[4,5,6,3,2,1,8,7]=>0000010 [1,5,2,8,3,7,6,4]=>[4,6,7,3,8,2,5,1]=>0000000 [5,1,2,8,3,7,6,4]=>[4,6,7,3,8,2,1,5]=>0000000 [5,2,1,8,3,7,6,4]=>[4,6,7,3,8,1,2,5]=>0000000 [6,2,8,1,3,7,5,4]=>[4,5,7,3,1,8,2,6]=>0000000 [6,2,8,4,7,1,5,3]=>[3,5,1,7,4,8,2,6]=>0000000 [6,3,8,4,7,5,1,2]=>[2,1,5,7,4,8,3,6]=>0100000 [2,6,8,3,1,7,5,4]=>[4,5,7,1,3,8,6,2]=>0000000 [2,5,1,8,3,7,6,4]=>[4,6,7,3,8,1,5,2]=>0000000 [1,2,5,8,3,7,6,4]=>[4,6,7,3,8,5,2,1]=>0000000 [2,5,3,8,1,7,6,4]=>[4,6,7,1,8,3,5,2]=>0000000 [2,5,4,8,7,1,6,3]=>[3,6,1,7,8,4,5,2]=>0000000 [3,5,4,8,7,6,1,2]=>[2,1,6,7,8,4,5,3]=>0100000 [5,3,4,8,7,6,1,2]=>[2,1,6,7,8,4,3,5]=>0100000 [5,2,4,8,7,1,6,3]=>[3,6,1,7,8,4,2,5]=>0000000 [5,2,3,8,1,7,6,4]=>[4,6,7,1,8,3,2,5]=>0000000 [4,1,2,3,8,7,6,5]=>[5,6,7,8,3,2,1,4]=>0000000 [1,4,2,3,8,7,6,5]=>[5,6,7,8,3,2,4,1]=>0000000 [4,1,3,2,8,7,6,5]=>[5,6,7,8,2,3,1,4]=>0000000 [6,3,8,1,2,7,5,4]=>[4,5,7,2,1,8,3,6]=>0000000 [5,3,1,8,2,7,6,4]=>[4,6,7,2,8,1,3,5]=>0000000 [5,1,3,8,2,7,6,4]=>[4,6,7,2,8,3,1,5]=>0000000 [1,5,3,8,2,7,6,4]=>[4,6,7,2,8,3,5,1]=>0000000 [1,5,4,8,7,2,6,3]=>[3,6,2,7,8,4,5,1]=>0000000 [5,1,4,8,7,2,6,3]=>[3,6,2,7,8,4,1,5]=>0000000 [5,4,1,8,7,2,6,3]=>[3,6,2,7,8,1,4,5]=>0000000 [6,5,8,7,1,2,4,3]=>[3,4,2,1,7,8,5,6]=>0001000 [5,6,8,7,3,4,1,2]=>[2,1,4,3,7,8,6,5]=>0101000 [5,6,8,7,2,1,4,3]=>[3,4,1,2,7,8,6,5]=>0001000 [4,5,1,8,7,2,6,3]=>[3,6,2,7,8,1,5,4]=>0000000 [4,1,5,8,7,2,6,3]=>[3,6,2,7,8,5,1,4]=>0000000 [1,3,5,8,2,7,6,4]=>[4,6,7,2,8,5,3,1]=>0000000 [3,1,5,8,2,7,6,4]=>[4,6,7,2,8,5,1,3]=>0000000 [3,6,8,2,1,7,5,4]=>[4,5,7,1,2,8,6,3]=>0000000 [4,6,8,3,7,5,1,2]=>[2,1,5,7,3,8,6,4]=>0100000 [4,5,3,8,7,6,1,2]=>[2,1,6,7,8,3,5,4]=>0100000 [3,5,2,8,1,7,6,4]=>[4,6,7,1,8,2,5,3]=>0000000 [3,1,4,2,8,7,6,5]=>[5,6,7,8,2,4,1,3]=>0000000 [3,2,5,8,1,7,6,4]=>[4,6,7,1,8,5,2,3]=>0000000 [4,2,5,8,7,1,6,3]=>[3,6,1,7,8,5,2,4]=>0000000 [4,3,5,8,7,6,1,2]=>[2,1,6,7,8,5,3,4]=>0100000 [2,4,5,8,7,1,6,3]=>[3,6,1,7,8,5,4,2]=>0000000 [2,3,5,8,1,7,6,4]=>[4,6,7,1,8,5,3,2]=>0000000 [6,2,5,1,4,3,8,7]=>[7,8,3,4,1,5,2,6]=>0000000 [5,2,6,1,4,3,8,7]=>[7,8,3,4,1,6,2,5]=>0000000 [5,2,7,1,4,3,8,6]=>[6,8,3,4,1,7,2,5]=>0000000 [6,2,8,1,4,3,7,5]=>[5,7,3,4,1,8,2,6]=>0000000 [6,2,7,1,4,3,8,5]=>[5,8,3,4,1,7,2,6]=>0000000 [7,2,6,1,4,3,8,5]=>[5,8,3,4,1,6,2,7]=>0000000 [8,2,5,1,4,3,7,6]=>[6,7,3,4,1,5,2,8]=>0000001 [8,1,4,3,7,2,6,5]=>[5,6,2,7,3,4,1,8]=>0000001 [8,2,6,1,5,3,7,4]=>[4,7,3,5,1,6,2,8]=>0000001 [7,2,6,1,5,3,8,4]=>[4,8,3,5,1,6,2,7]=>0000000 [6,2,7,1,5,3,8,4]=>[4,8,3,5,1,7,2,6]=>0000000 [6,2,8,1,5,3,7,4]=>[4,7,3,5,1,8,2,6]=>0000000 [7,4,8,1,3,2,6,5]=>[5,6,2,3,1,8,4,7]=>0000000 [8,3,7,1,4,2,6,5]=>[5,6,2,4,1,7,3,8]=>0000001 [8,3,7,1,5,2,6,4]=>[4,6,2,5,1,7,3,8]=>0000001 [7,3,8,1,5,2,6,4]=>[4,6,2,5,1,8,3,7]=>0000000 [6,2,7,3,8,1,5,4]=>[4,5,1,8,3,7,2,6]=>0000000 [6,2,8,3,7,1,5,4]=>[4,5,1,7,3,8,2,6]=>0000000 [5,1,8,3,7,2,6,4]=>[4,6,2,7,3,8,1,5]=>0000000 [4,1,8,3,7,2,6,5]=>[5,6,2,7,3,8,1,4]=>0000000 [3,1,7,4,8,2,6,5]=>[5,6,2,8,4,7,1,3]=>0000000 [4,1,7,3,8,2,6,5]=>[5,6,2,8,3,7,1,4]=>0000000 [5,1,7,3,8,2,6,4]=>[4,6,2,8,3,7,1,5]=>0000000 [7,3,8,2,6,1,5,4]=>[4,5,1,6,2,8,3,7]=>0000000 [8,2,6,3,7,1,5,4]=>[4,5,1,7,3,6,2,8]=>0000001 [3,4,2,6,8,1,5,7]=>[7,5,1,8,6,2,4,3]=>0000000 [5,3,6,2,8,1,4,7]=>[7,4,1,8,2,6,3,5]=>0000000 [7,4,2,5,8,3,6,1]=>[1,6,3,8,5,2,4,7]=>1000000 [4,5,2,6,3,8,1,7]=>[7,1,8,3,6,2,5,4]=>0000000 [3,5,6,1,4,8,2,7]=>[7,2,8,4,1,6,5,3]=>0000000 [4,1,5,6,3,8,2,7]=>[7,2,8,3,6,5,1,4]=>0000000 [4,5,1,6,3,8,2,7]=>[7,2,8,3,6,1,5,4]=>0000000 [4,5,6,3,2,8,1,7]=>[7,1,8,2,3,6,5,4]=>0000000 [6,7,4,8,3,2,5,1]=>[1,5,2,3,8,4,7,6]=>1000000 [6,7,4,8,3,2,1,5]=>[5,1,2,3,8,4,7,6]=>0000000 [6,7,4,1,8,3,2,5]=>[5,2,3,8,1,4,7,6]=>0000000 [5,3,7,8,1,4,2,6]=>[6,2,4,1,8,7,3,5]=>0000000 [7,3,5,8,1,4,6,2]=>[2,6,4,1,8,5,3,7]=>0000000 [4,5,1,7,8,3,6,2]=>[2,6,3,8,7,1,5,4]=>0000000 [7,4,1,5,8,3,6,2]=>[2,6,3,8,5,1,4,7]=>0000000 [6,7,4,3,8,1,5,2]=>[2,5,1,8,3,4,7,6]=>0000000 [5,6,1,7,3,8,4,2]=>[2,4,8,3,7,1,6,5]=>0000000 [5,1,6,7,3,8,4,2]=>[2,4,8,3,7,6,1,5]=>0000000 [6,4,7,1,8,3,5,2]=>[2,5,3,8,1,7,4,6]=>0000000 [6,7,8,3,1,4,5,2]=>[2,5,4,1,3,8,7,6]=>0000100 [6,7,2,8,4,5,1,3]=>[3,1,5,4,8,2,7,6]=>0000000 [6,7,2,8,4,1,3,5]=>[5,3,1,4,8,2,7,6]=>0000000 [6,1,7,4,8,3,2,5]=>[5,2,3,8,4,7,1,6]=>0000000 [5,1,6,7,3,2,8,4]=>[4,8,2,3,7,6,1,5]=>0000000 [5,6,1,7,3,2,8,4]=>[4,8,2,3,7,1,6,5]=>0000000 [5,6,7,3,2,1,8,4]=>[4,8,1,2,3,7,6,5]=>0000000 [5,6,7,3,2,8,4,1]=>[1,4,8,2,3,7,6,5]=>1000000 [7,4,2,5,1,8,3,6]=>[6,3,8,1,5,2,4,7]=>0000000 [6,7,4,2,8,3,5,1]=>[1,5,3,8,2,4,7,6]=>1000000 [3,6,7,2,8,4,5,1]=>[1,5,4,8,2,7,6,3]=>1000000 [3,6,7,2,8,4,1,5]=>[5,1,4,8,2,7,6,3]=>0000000 [3,6,7,2,1,8,4,5]=>[5,4,8,1,2,7,6,3]=>0000000 [3,4,7,8,2,1,5,6]=>[6,5,1,2,8,7,4,3]=>0000000 [3,7,8,1,4,6,2,5]=>[5,2,6,4,1,8,7,3]=>0000000 [3,6,7,2,8,5,1,4]=>[4,1,5,8,2,7,6,3]=>0000000 [3,6,7,8,5,2,1,4]=>[4,1,2,5,8,7,6,3]=>0000000 [3,6,7,8,5,2,4,1]=>[1,4,2,5,8,7,6,3]=>1000000 [6,4,7,8,2,5,3,1]=>[1,3,5,2,8,7,4,6]=>1000000 [6,4,7,8,2,1,5,3]=>[3,5,1,2,8,7,4,6]=>0000000 [5,3,7,8,1,6,2,4]=>[4,2,6,1,8,7,3,5]=>0000000 [6,7,2,8,5,1,3,4]=>[4,3,1,5,8,2,7,6]=>0000000 [6,4,1,7,8,2,5,3]=>[3,5,2,8,7,1,4,6]=>0000000 [5,1,6,2,7,8,4,3]=>[3,4,8,7,2,6,1,5]=>0000000 [5,6,2,7,1,8,4,3]=>[3,4,8,1,7,2,6,5]=>0000000 [5,6,2,7,8,4,3,1]=>[1,3,4,8,7,2,6,5]=>1000000 [5,6,7,2,8,4,3,1]=>[1,3,4,8,2,7,6,5]=>1000000 [5,6,7,2,1,8,4,3]=>[3,4,8,1,2,7,6,5]=>0000000 [5,6,1,7,2,8,4,3]=>[3,4,8,2,7,1,6,5]=>0000000 [5,1,6,7,2,8,4,3]=>[3,4,8,2,7,6,1,5]=>0000000 [6,7,8,3,5,1,4,2]=>[2,4,1,5,3,8,7,6]=>0000100 [5,6,1,7,8,4,3,2]=>[2,3,4,8,7,1,6,5]=>0000000 [5,6,7,1,8,4,3,2]=>[2,3,4,8,1,7,6,5]=>0000000 [8,3,2,5,1,6,4,7]=>[7,4,6,1,5,2,3,8]=>0000001 [5,3,2,7,4,1,8,6]=>[6,8,1,4,7,2,3,5]=>0000000 [7,5,3,8,2,4,6,1]=>[1,6,4,2,8,3,5,7]=>1000000 [8,2,4,5,6,3,1,7]=>[7,1,3,6,5,4,2,8]=>0000001 [8,2,4,5,6,1,3,7]=>[7,3,1,6,5,4,2,8]=>0000001 [8,5,3,6,4,1,2,7]=>[7,2,1,4,6,3,5,8]=>0000001 [8,4,1,5,6,3,2,7]=>[7,2,3,6,5,1,4,8]=>0000001 [8,1,4,5,6,3,2,7]=>[7,2,3,6,5,4,1,8]=>0000001 [4,5,3,7,2,1,8,6]=>[6,8,1,2,7,3,5,4]=>0000000 [7,4,5,8,3,2,6,1]=>[1,6,2,3,8,5,4,7]=>1000000 [4,3,6,7,2,8,5,1]=>[1,5,8,2,7,6,3,4]=>1000000 [4,3,6,7,2,8,1,5]=>[5,1,8,2,7,6,3,4]=>0000000 [1,4,3,6,7,2,8,5]=>[5,8,2,7,6,3,4,1]=>0000000 [4,5,3,7,1,8,2,6]=>[6,2,8,1,7,3,5,4]=>0000000 [5,3,4,7,1,2,8,6]=>[6,8,2,1,7,4,3,5]=>0000000 [7,4,5,8,3,6,1,2]=>[2,1,6,3,8,5,4,7]=>0100000 [4,3,6,7,8,1,5,2]=>[2,5,1,8,7,6,3,4]=>0000000 [3,5,6,7,8,4,1,2]=>[2,1,4,8,7,6,5,3]=>0100000 [3,1,5,6,7,8,4,2]=>[2,4,8,7,6,5,1,3]=>0000000 [4,6,1,7,8,3,5,2]=>[2,5,3,8,7,1,6,4]=>0000000 [6,2,4,1,7,8,5,3]=>[3,5,8,7,1,4,2,6]=>0000000 [2,6,7,1,4,8,3,5]=>[5,3,8,4,1,7,6,2]=>0000000 [1,5,3,6,7,8,2,4]=>[4,2,8,7,6,3,5,1]=>0000000 [4,5,2,7,8,1,3,6]=>[6,3,1,8,7,2,5,4]=>0000000 [4,2,6,7,8,3,1,5]=>[5,1,3,8,7,6,2,4]=>0000000 [4,2,6,7,8,3,5,1]=>[1,5,3,8,7,6,2,4]=>1000000 [3,6,2,7,4,8,1,5]=>[5,1,8,4,7,2,6,3]=>0000000 [3,7,4,2,1,5,8,6]=>[6,8,5,1,2,4,7,3]=>0000000 [7,8,4,2,1,3,6,5]=>[5,6,3,1,2,4,8,7]=>0000010 [6,3,2,7,1,8,5,4]=>[4,5,8,1,7,2,3,6]=>0000000 [3,6,2,7,1,8,5,4]=>[4,5,8,1,7,2,6,3]=>0000000 [6,7,3,8,2,5,4,1]=>[1,4,5,2,8,3,7,6]=>1000000 [6,4,7,8,5,2,3,1]=>[1,3,2,5,8,7,4,6]=>1010000 [2,6,4,7,8,1,5,3]=>[3,5,1,8,7,4,6,2]=>0000000 [7,4,1,5,8,6,2,3]=>[3,2,6,8,5,1,4,7]=>0000000 [7,5,8,2,1,6,3,4]=>[4,3,6,1,2,8,5,7]=>0000000 [6,2,7,1,3,8,5,4]=>[4,5,8,3,1,7,2,6]=>0000000 [6,3,1,7,8,2,5,4]=>[4,5,2,8,7,1,3,6]=>0000000 [4,6,1,7,8,5,2,3]=>[3,2,5,8,7,1,6,4]=>0000000 [5,1,2,6,7,8,4,3]=>[3,4,8,7,6,2,1,5]=>0000000 [5,2,6,7,8,4,3,1]=>[1,3,4,8,7,6,2,5]=>1000000 [1,6,4,7,8,5,2,3]=>[3,2,5,8,7,4,6,1]=>0000000 [2,6,7,1,3,8,5,4]=>[4,5,8,3,1,7,6,2]=>0000000 [6,7,3,8,5,1,4,2]=>[2,4,1,5,8,3,7,6]=>0000000 [6,4,7,8,5,3,1,2]=>[2,1,3,5,8,7,4,6]=>0110000 [3,1,2,6,5,8,7,4]=>[4,7,8,5,6,2,1,3]=>0000000 [4,5,1,2,3,8,7,6]=>[6,7,8,3,2,1,5,4]=>0000000 [4,6,1,2,3,8,7,5]=>[5,7,8,3,2,1,6,4]=>0000000 [1,6,5,3,4,8,7,2]=>[2,7,8,4,3,5,6,1]=>0000000 [6,1,5,2,4,8,7,3]=>[3,7,8,4,2,5,1,6]=>0000000 [6,5,1,2,3,8,7,4]=>[4,7,8,3,2,1,5,6]=>0000000 [6,4,1,2,3,8,7,5]=>[5,7,8,3,2,1,4,6]=>0000000 [5,4,1,2,3,8,7,6]=>[6,7,8,3,2,1,4,5]=>0000000 [5,4,1,2,7,3,6,8]=>[8,6,3,7,2,1,4,5]=>0000000 [6,4,1,7,2,3,5,8]=>[8,5,3,2,7,1,4,6]=>0000000 [6,4,1,8,2,3,5,7]=>[7,5,3,2,8,1,4,6]=>0000000 [7,4,1,2,8,3,6,5]=>[5,6,3,8,2,1,4,7]=>0000000 [7,5,1,2,8,3,6,4]=>[4,6,3,8,2,1,5,7]=>0000000 [7,1,5,2,8,4,6,3]=>[3,6,4,8,2,5,1,7]=>0000000 [1,7,5,3,8,4,6,2]=>[2,6,4,8,3,5,7,1]=>0000000 [8,4,1,2,7,3,6,5]=>[5,6,3,7,2,1,4,8]=>0000001 [8,4,1,7,2,3,5,6]=>[6,5,3,2,7,1,4,8]=>0000001 [7,4,1,6,2,3,5,8]=>[8,5,3,2,6,1,4,7]=>0000000 [8,6,1,7,2,3,5,4]=>[4,5,3,2,7,1,6,8]=>0000001 [8,1,6,7,2,4,5,3]=>[3,5,4,2,7,6,1,8]=>0000001 [1,7,6,8,3,4,5,2]=>[2,5,4,3,8,6,7,1]=>0000000 [7,6,1,8,2,3,5,4]=>[4,5,3,2,8,1,6,7]=>0000000 [3,1,2,7,8,5,6,4]=>[4,6,5,8,7,2,1,3]=>0000000 [3,1,8,7,2,4,5,6]=>[6,5,4,2,7,8,1,3]=>0000000 [3,1,7,6,2,4,5,8]=>[8,5,4,2,6,7,1,3]=>0000000 [4,7,1,6,2,3,5,8]=>[8,5,3,2,6,1,7,4]=>0000000 [4,8,1,6,2,3,5,7]=>[7,5,3,2,6,1,8,4]=>0000000 [5,8,1,2,7,3,6,4]=>[4,6,3,7,2,1,8,5]=>0000000 [5,1,8,2,7,4,6,3]=>[3,6,4,7,2,8,1,5]=>0000000 [1,5,8,3,7,4,6,2]=>[2,6,4,7,3,8,5,1]=>0000000 [1,6,8,7,3,4,5,2]=>[2,5,4,3,7,8,6,1]=>0000000 [6,1,8,7,2,4,5,3]=>[3,5,4,2,7,8,1,6]=>0000000 [6,8,1,7,2,3,5,4]=>[4,5,3,2,7,1,8,6]=>0000000 [6,8,7,1,2,3,4,5]=>[5,4,3,2,1,7,8,6]=>0000100 [5,8,6,1,2,3,4,7]=>[7,4,3,2,1,6,8,5]=>0000000 [5,7,6,1,2,3,4,8]=>[8,4,3,2,1,6,7,5]=>0000000 [7,8,1,6,2,3,5,4]=>[4,5,3,2,6,1,8,7]=>0000010 [7,1,8,6,2,4,5,3]=>[3,5,4,2,6,8,1,7]=>0000000 [1,7,8,6,3,4,5,2]=>[2,5,4,3,6,8,7,1]=>0000000 [8,1,7,6,2,4,5,3]=>[3,5,4,2,6,7,1,8]=>0000001 [8,7,1,6,2,3,5,4]=>[4,5,3,2,6,1,7,8]=>0000011 [8,5,3,7,2,1,4,6]=>[6,4,1,2,7,3,5,8]=>0000001 [6,8,1,4,5,7,3,2]=>[2,3,7,5,4,1,8,6]=>0000000 [8,7,2,4,5,1,3,6]=>[6,3,1,5,4,2,7,8]=>0000011 [2,6,1,4,5,3,8,7]=>[7,8,3,5,4,1,6,2]=>0000000 [6,3,1,4,5,2,8,7]=>[7,8,2,5,4,1,3,6]=>0000000 [3,1,6,4,5,2,8,7]=>[7,8,2,5,4,6,1,3]=>0000000 [8,3,7,4,5,1,2,6]=>[6,2,1,5,4,7,3,8]=>0000001 [5,8,7,4,2,6,3,1]=>[1,3,6,2,4,7,8,5]=>1000000 [8,1,7,4,2,6,3,5]=>[5,3,6,2,4,7,1,8]=>0000001 [3,7,8,4,5,1,2,6]=>[6,2,1,5,4,8,7,3]=>0000000 [5,6,3,8,1,7,2,4]=>[4,2,7,1,8,3,6,5]=>0000000 [7,6,1,4,5,8,3,2]=>[2,3,8,5,4,1,6,7]=>0000000 [3,7,6,4,5,8,2,1]=>[1,2,8,5,4,6,7,3]=>1100000 [8,5,7,4,1,6,3,2]=>[2,3,6,1,4,7,5,8]=>0000001 [2,5,8,4,7,6,1,3]=>[3,1,6,7,4,8,5,2]=>0000000 [3,8,4,2,5,6,7,1]=>[1,7,6,5,2,4,8,3]=>1000000 [8,4,1,3,5,6,7,2]=>[2,7,6,5,3,1,4,8]=>0000001 [7,5,8,4,3,6,1,2]=>[2,1,6,3,4,8,5,7]=>0100000 [6,5,3,8,4,1,7,2]=>[2,7,1,4,8,3,5,6]=>0000000 [2,1,4,8,3,6,7,5]=>[5,7,6,3,8,4,1,2]=>0000000 [7,3,8,4,2,6,1,5]=>[5,1,6,2,4,8,3,7]=>0000000 [8,3,1,2,5,6,7,4]=>[4,7,6,5,2,1,3,8]=>0000001 [4,8,2,3,5,6,7,1]=>[1,7,6,5,3,2,8,4]=>1000000 [2,7,8,4,5,3,1,6]=>[6,1,3,5,4,8,7,2]=>0000000 [8,7,1,4,3,6,2,5]=>[5,2,6,3,4,1,7,8]=>0000011 [5,6,3,8,4,2,7,1]=>[1,7,2,4,8,3,6,5]=>1000000 [8,6,3,1,4,2,7,5]=>[5,7,2,4,1,3,6,8]=>0000001 [8,6,3,5,1,2,7,4]=>[4,7,2,1,5,3,6,8]=>0000001 [5,8,3,2,6,1,7,4]=>[4,7,1,6,2,3,8,5]=>0000000 [3,5,8,4,7,6,2,1]=>[1,2,6,7,4,8,5,3]=>1100000 [5,8,2,4,7,6,1,3]=>[3,1,6,7,4,2,8,5]=>0000000 [7,1,6,4,5,8,2,3]=>[3,2,8,5,4,6,1,7]=>0000000 [2,1,8,5,3,6,7,4]=>[4,7,6,3,5,8,1,2]=>0000000 [6,8,3,5,2,1,7,4]=>[4,7,1,2,5,3,8,6]=>0000000 [7,8,5,4,2,6,1,3]=>[3,1,6,2,4,5,8,7]=>0000010 [4,8,1,2,5,6,7,3]=>[3,7,6,5,2,1,8,4]=>0000000 [3,4,2,8,5,6,7,1]=>[1,7,6,5,8,2,4,3]=>1000000 [2,4,1,8,5,6,7,3]=>[3,7,6,5,8,1,4,2]=>0000000 [8,4,2,1,5,6,7,3]=>[3,7,6,5,1,2,4,8]=>0000001 [7,5,2,4,8,6,1,3]=>[3,1,6,8,4,2,5,7]=>0000000 [2,1,5,3,8,6,7,4]=>[4,7,6,8,3,5,1,2]=>0000000 [3,1,4,8,5,6,7,2]=>[2,7,6,5,8,4,1,3]=>0000000 [6,5,3,7,2,8,4,1]=>[1,4,8,2,7,3,5,6]=>1000000 [6,7,2,4,5,8,3,1]=>[1,3,8,5,4,2,7,6]=>1000000 [2,5,7,4,8,6,3,1]=>[1,3,6,8,4,7,5,2]=>1000000 [5,6,3,7,1,8,4,2]=>[2,4,8,1,7,3,6,5]=>0000000 [3,8,7,4,5,2,1,6]=>[6,1,2,5,4,7,8,3]=>0000000 [3,7,5,4,8,6,2,1]=>[1,2,6,8,4,5,7,3]=>1100000 [4,6,3,5,8,2,7,1]=>[1,7,2,8,5,3,6,4]=>1000000 [3,7,8,4,1,6,2,5]=>[5,2,6,1,4,8,7,3]=>0000000 [5,4,2,3,7,6,1,8]=>[8,1,6,7,3,2,4,5]=>0000000 [3,2,7,6,4,5,1,8]=>[8,1,5,4,6,7,2,3]=>0000000 [4,7,2,6,3,5,1,8]=>[8,1,5,3,6,2,7,4]=>0000000 [5,7,6,2,3,4,1,8]=>[8,1,4,3,2,6,7,5]=>0000000 [1,7,5,2,8,3,4,6]=>[6,4,3,8,2,5,7,1]=>0000000 [6,8,5,2,3,1,4,7]=>[7,4,1,3,2,5,8,6]=>0000000 [4,8,2,6,3,1,5,7]=>[7,5,1,3,6,2,8,4]=>0000000 [3,2,8,6,4,1,5,7]=>[7,5,1,4,6,8,2,3]=>0000000 [7,1,5,2,8,3,4,6]=>[6,4,3,8,2,5,1,7]=>0000000 [1,8,5,2,7,3,4,6]=>[6,4,3,7,2,5,8,1]=>0000000 [7,1,6,8,2,3,4,5]=>[5,4,3,2,8,6,1,7]=>0000000 [3,2,1,7,8,4,5,6]=>[6,5,4,8,7,1,2,3]=>0000000 [3,2,8,7,1,4,5,6]=>[6,5,4,1,7,8,2,3]=>0000000 [5,8,7,2,1,3,4,6]=>[6,4,3,1,2,7,8,5]=>0000000 [1,7,6,8,2,3,4,5]=>[5,4,3,2,8,6,7,1]=>0000000 [6,5,8,2,3,1,4,7]=>[7,4,1,3,2,8,5,6]=>0000000 [8,5,7,2,1,3,4,6]=>[6,4,3,1,2,7,5,8]=>0000001 [3,2,5,4,1,8,6,7]=>[7,6,8,1,4,5,2,3]=>0000000 [7,4,2,1,8,3,5,6]=>[6,5,3,8,1,2,4,7]=>0000000 [8,4,2,1,7,3,5,6]=>[6,5,3,7,1,2,4,8]=>0000001 [1,4,2,8,7,3,5,6]=>[6,5,3,7,8,2,4,1]=>0000000 [1,5,8,2,7,3,4,6]=>[6,4,3,7,2,8,5,1]=>0000000 [8,5,1,2,7,3,4,6]=>[6,4,3,7,2,1,5,8]=>0000001 [3,2,6,1,4,8,5,7]=>[7,5,8,4,1,6,2,3]=>0000000 [3,2,7,1,8,4,5,6]=>[6,5,4,8,1,7,2,3]=>0000000 [4,7,2,1,8,3,5,6]=>[6,5,3,8,1,2,7,4]=>0000000 [8,6,1,7,2,3,4,5]=>[5,4,3,2,7,1,6,8]=>0000001 [1,6,8,7,2,3,4,5]=>[5,4,3,2,7,8,6,1]=>0000000 [1,7,8,6,2,3,4,5]=>[5,4,3,2,6,8,7,1]=>0000000 [7,8,1,6,2,3,4,5]=>[5,4,3,2,6,1,8,7]=>0000010 [4,8,2,1,7,3,5,6]=>[6,5,3,7,1,2,8,4]=>0000000 [3,2,8,1,7,4,5,6]=>[6,5,4,7,1,8,2,3]=>0000000 [5,1,8,2,7,3,4,6]=>[6,4,3,7,2,8,1,5]=>0000000 [6,1,8,7,2,3,4,5]=>[5,4,3,2,7,8,1,6]=>0000000 [8,1,7,6,2,3,4,5]=>[5,4,3,2,6,7,1,8]=>0000001 [2,8,4,1,6,5,7,3]=>[3,7,5,6,1,4,8,2]=>0000000 [2,8,5,6,7,4,3,1]=>[1,3,4,7,6,5,8,2]=>1000000 [7,5,8,6,1,4,2,3]=>[3,2,4,1,6,8,5,7]=>0001000 [3,5,7,6,1,4,2,8]=>[8,2,4,1,6,7,5,3]=>0000000 [7,5,8,2,4,1,6,3]=>[3,6,1,4,2,8,5,7]=>0000000 [2,8,5,3,4,7,6,1]=>[1,6,7,4,3,5,8,2]=>1000000 [2,8,5,3,4,1,7,6]=>[6,7,1,4,3,5,8,2]=>0000000 [2,8,5,3,6,1,7,4]=>[4,7,1,6,3,5,8,2]=>0000000 [2,8,5,6,7,4,1,3]=>[3,1,4,7,6,5,8,2]=>0000000 [2,8,5,3,4,7,1,6]=>[6,1,7,4,3,5,8,2]=>0000000 [2,8,5,3,4,6,1,7]=>[7,1,6,4,3,5,8,2]=>0000000 [6,5,2,7,3,1,4,8]=>[8,4,1,3,7,2,5,6]=>0000000 [6,5,2,8,3,1,7,4]=>[4,7,1,3,8,2,5,6]=>0000000 [6,5,2,8,3,1,4,7]=>[7,4,1,3,8,2,5,6]=>0000000 [7,5,8,2,4,6,3,1]=>[1,3,6,4,2,8,5,7]=>1000000 [7,5,8,6,1,4,3,2]=>[2,3,4,1,6,8,5,7]=>0001000 [6,5,8,2,1,3,7,4]=>[4,7,3,1,2,8,5,6]=>0000000 [3,5,6,2,1,8,7,4]=>[4,7,8,1,2,6,5,3]=>0000000 [3,5,7,2,4,1,8,6]=>[6,8,1,4,2,7,5,3]=>0000000 [6,5,2,7,3,1,8,4]=>[4,8,1,3,7,2,5,6]=>0000000 [4,5,2,6,3,1,7,8]=>[8,7,1,3,6,2,5,4]=>0000000 [6,5,2,7,3,4,8,1]=>[1,8,4,3,7,2,5,6]=>1000000 [5,1,6,7,4,3,8,2]=>[2,8,3,4,7,6,1,5]=>0000000 [5,1,2,6,4,8,7,3]=>[3,7,8,4,6,2,1,5]=>0000000 [5,1,2,8,6,4,7,3]=>[3,7,4,6,8,2,1,5]=>0000000 [5,1,6,8,7,3,4,2]=>[2,4,3,7,8,6,1,5]=>0000000 [6,5,2,8,3,7,4,1]=>[1,4,7,3,8,2,5,6]=>1000000 [4,1,2,3,8,6,5,7]=>[7,5,6,8,3,2,1,4]=>0000000 [4,1,2,3,8,6,7,5]=>[5,7,6,8,3,2,1,4]=>0000000 [4,1,2,3,8,5,7,6]=>[6,7,5,8,3,2,1,4]=>0000000 [6,5,8,2,4,3,7,1]=>[1,7,3,4,2,8,5,6]=>1000000 [6,5,2,8,3,7,1,4]=>[4,1,7,3,8,2,5,6]=>0000000 [6,5,2,7,3,4,1,8]=>[8,1,4,3,7,2,5,6]=>0000000 [5,1,6,7,4,3,2,8]=>[8,2,3,4,7,6,1,5]=>0000000 [5,1,6,8,7,3,2,4]=>[4,2,3,7,8,6,1,5]=>0000000 [5,7,8,6,3,4,2,1]=>[1,2,4,3,6,8,7,5]=>1101000 [3,1,4,8,6,2,7,5]=>[5,7,2,6,8,4,1,3]=>0000000 [3,1,4,8,6,5,2,7]=>[7,2,5,6,8,4,1,3]=>0000000 [4,1,6,7,8,3,2,5]=>[5,2,3,8,7,6,1,4]=>0000000 [4,1,6,5,7,3,2,8]=>[8,2,3,7,5,6,1,4]=>0000000 [4,5,2,6,3,7,1,8]=>[8,1,7,3,6,2,5,4]=>0000000 [4,5,2,7,3,8,1,6]=>[6,1,8,3,7,2,5,4]=>0000000 [3,5,6,2,4,8,1,7]=>[7,1,8,4,2,6,5,3]=>0000000 [3,7,5,6,8,4,1,2]=>[2,1,4,8,6,5,7,3]=>0100000 [3,6,5,2,8,1,7,4]=>[4,7,1,8,2,5,6,3]=>0000000 [6,1,2,5,8,4,7,3]=>[3,7,4,8,5,2,1,6]=>0000000 [4,1,2,3,5,8,7,6]=>[6,7,8,5,3,2,1,4]=>0000000 [4,1,6,7,8,3,5,2]=>[2,5,3,8,7,6,1,4]=>0000000 [4,1,2,6,8,5,7,3]=>[3,7,5,8,6,2,1,4]=>0000000 [4,1,2,5,6,8,7,3]=>[3,7,8,6,5,2,1,4]=>0000000 [4,5,2,6,3,7,8,1]=>[1,8,7,3,6,2,5,4]=>1000000 [7,4,2,5,1,3,8,6]=>[6,8,3,1,5,2,4,7]=>0000000 [3,7,5,1,2,4,8,6]=>[6,8,4,2,1,5,7,3]=>0000000 [7,4,8,5,2,6,1,3]=>[3,1,6,2,5,8,4,7]=>0000000 [3,8,6,2,4,7,1,5]=>[5,1,7,4,2,6,8,3]=>0000000 [3,8,5,7,1,2,4,6]=>[6,4,2,1,7,5,8,3]=>0000000 [2,7,6,4,8,1,3,5]=>[5,3,1,8,4,6,7,2]=>0000000 [5,4,1,7,8,2,3,6]=>[6,3,2,8,7,1,4,5]=>0000000 [5,7,2,8,1,6,3,4]=>[4,3,6,1,8,2,7,5]=>0000000 [3,6,8,2,7,1,4,5]=>[5,4,1,7,2,8,6,3]=>0000000 [8,3,7,6,1,2,4,5]=>[5,4,2,1,6,7,3,8]=>0000001 [5,4,8,7,1,2,3,6]=>[6,3,2,1,7,8,4,5]=>0000000 [2,5,8,7,1,3,4,6]=>[6,4,3,1,7,8,5,2]=>0000000 [6,8,4,7,5,1,2,3]=>[3,2,1,5,7,4,8,6]=>0010000 [2,8,7,6,1,3,4,5]=>[5,4,3,1,6,7,8,2]=>0000000 [3,8,7,6,1,2,4,5]=>[5,4,2,1,6,7,8,3]=>0000000 [7,5,3,8,2,1,6,4]=>[4,6,1,2,8,3,5,7]=>0000000 [3,8,7,4,5,1,6,2]=>[2,6,1,5,4,7,8,3]=>0000000 [2,1,7,8,5,3,6,4]=>[4,6,3,5,8,7,1,2]=>0000000 [5,7,3,8,1,2,6,4]=>[4,6,2,1,8,3,7,5]=>0000000 [8,6,3,1,2,5,7,4]=>[4,7,5,2,1,3,6,8]=>0000001 [8,7,1,4,2,6,5,3]=>[3,5,6,2,4,1,7,8]=>0000011 [7,3,8,4,1,6,5,2]=>[2,5,6,1,4,8,3,7]=>0000000 [5,3,2,7,4,6,8,1]=>[1,8,6,4,7,2,3,5]=>1000000 [7,5,3,6,2,4,8,1]=>[1,8,4,2,6,3,5,7]=>1000000 [6,3,2,5,1,8,4,7]=>[7,4,8,1,5,2,3,6]=>0000000 [8,5,3,6,2,7,1,4]=>[4,1,7,2,6,3,5,8]=>0000001 [7,2,6,3,4,5,8,1]=>[1,8,5,4,3,6,2,7]=>1000000 [6,2,7,3,4,5,8,1]=>[1,8,5,4,3,7,2,6]=>1000000 [6,7,3,5,2,4,8,1]=>[1,8,4,2,5,3,7,6]=>1000000 [3,7,6,2,4,5,8,1]=>[1,8,5,4,2,6,7,3]=>1000000 [6,5,3,1,2,8,4,7]=>[7,4,8,2,1,3,5,6]=>0000000 [8,6,5,2,3,7,1,4]=>[4,1,7,3,2,5,6,8]=>0000001 [8,5,2,1,7,3,4,6]=>[6,4,3,7,1,2,5,8]=>0000001 [7,5,2,1,8,3,4,6]=>[6,4,3,8,1,2,5,7]=>0000000 [1,6,3,2,8,4,5,7]=>[7,5,4,8,2,3,6,1]=>0000000 [5,4,8,6,2,7,1,3]=>[3,1,7,2,6,8,4,5]=>0000000 [7,8,5,2,3,6,1,4]=>[4,1,6,3,2,5,8,7]=>0000010 [2,8,1,7,3,4,5,6]=>[6,5,4,3,7,1,8,2]=>0000000 [4,2,8,3,7,1,5,6]=>[6,5,1,7,3,8,2,4]=>0000000 [4,1,7,5,8,2,3,6]=>[6,3,2,8,5,7,1,4]=>0000000 [8,1,2,7,3,4,5,6]=>[6,5,4,3,7,2,1,8]=>0000001 [6,3,7,1,2,8,4,5]=>[5,4,8,2,1,7,3,6]=>0000000 [5,4,1,3,6,8,2,7]=>[7,2,8,6,3,1,4,5]=>0000000 [8,5,3,7,6,1,2,4]=>[4,2,1,6,7,3,5,8]=>0000001 [6,1,8,3,7,2,4,5]=>[5,4,2,7,3,8,1,6]=>0000000 [7,6,8,2,3,5,1,4]=>[4,1,5,3,2,8,6,7]=>0000100 [3,7,8,2,4,6,1,5]=>[5,1,6,4,2,8,7,3]=>0000000 [5,4,7,8,2,6,1,3]=>[3,1,6,2,8,7,4,5]=>0000000 [2,3,8,7,1,4,5,6]=>[6,5,4,1,7,8,3,2]=>0000000 [2,1,8,7,3,4,5,6]=>[6,5,4,3,7,8,1,2]=>0000000 [8,2,7,6,1,3,4,5]=>[5,4,3,1,6,7,2,8]=>0000001 [1,2,8,7,3,4,5,6]=>[6,5,4,3,7,8,2,1]=>0000000 [1,3,8,7,2,4,5,6]=>[6,5,4,2,7,8,3,1]=>0000000 [1,7,8,3,6,2,4,5]=>[5,4,2,6,3,8,7,1]=>0000000 [5,4,8,7,6,1,2,3]=>[3,2,1,6,7,8,4,5]=>0010000 [6,8,3,7,5,1,2,4]=>[4,2,1,5,7,3,8,6]=>0000000 [7,8,6,2,5,1,3,4]=>[4,3,1,5,2,6,8,7]=>0000110 [8,1,6,7,3,2,4,5]=>[5,4,2,3,7,6,1,8]=>0000001 [8,1,5,3,7,2,4,6]=>[6,4,2,7,3,5,1,8]=>0000001 [8,1,5,3,6,2,4,7]=>[7,4,2,6,3,5,1,8]=>0000001 [7,4,8,3,2,6,5,1]=>[1,5,6,2,3,8,4,7]=>1000000 [7,4,1,3,2,6,5,8]=>[8,5,6,2,3,1,4,7]=>0000000 [8,1,4,3,2,6,5,7]=>[7,5,6,2,3,4,1,8]=>0000001 [8,1,4,3,2,7,5,6]=>[6,5,7,2,3,4,1,8]=>0000001 [8,1,5,4,6,7,2,3]=>[3,2,7,6,4,5,1,8]=>0000001 [8,1,5,3,6,2,7,4]=>[4,7,2,6,3,5,1,8]=>0000001 [8,1,4,3,2,6,7,5]=>[5,7,6,2,3,4,1,8]=>0000001 [8,1,4,3,2,5,7,6]=>[6,7,5,2,3,4,1,8]=>0000001 [7,4,8,3,2,5,6,1]=>[1,6,5,2,3,8,4,7]=>1000000 [6,4,3,1,2,5,8,7]=>[7,8,5,2,1,3,4,6]=>0000000 [7,4,1,3,2,5,8,6]=>[6,8,5,2,3,1,4,7]=>0000000 [7,5,1,3,6,2,8,4]=>[4,8,2,6,3,1,5,7]=>0000000 [7,5,1,4,6,8,2,3]=>[3,2,8,6,4,1,5,7]=>0000000 [6,4,3,8,2,5,1,7]=>[7,1,5,2,8,3,4,6]=>0000000 [5,4,3,2,8,6,1,7]=>[7,1,6,8,2,3,4,5]=>0000000 [5,4,3,2,8,7,1,6]=>[6,1,7,8,2,3,4,5]=>0000000 [6,5,4,8,7,1,2,3]=>[3,2,1,7,8,4,5,6]=>0010000 [6,5,4,1,7,8,2,3]=>[3,2,8,7,1,4,5,6]=>0000000 [6,4,3,1,2,7,8,5]=>[5,8,7,2,1,3,4,6]=>0000000 [6,4,3,1,2,7,5,8]=>[8,5,7,2,1,3,4,6]=>0000000 [6,4,3,8,2,7,5,1]=>[1,5,7,2,8,3,4,6]=>1000000 [6,5,3,8,7,2,4,1]=>[1,4,2,7,8,3,5,6]=>1000000 [6,5,3,1,7,2,4,8]=>[8,4,2,7,1,3,5,6]=>0000000 [7,5,1,3,8,2,4,6]=>[6,4,2,8,3,1,5,7]=>0000000 [6,5,3,7,8,2,4,1]=>[1,4,2,8,7,3,5,6]=>1000000 [6,4,3,7,2,8,5,1]=>[1,5,8,2,7,3,4,6]=>1000000 [6,4,3,7,2,1,5,8]=>[8,5,1,2,7,3,4,6]=>0000000 [7,5,8,4,1,6,2,3]=>[3,2,6,1,4,8,5,7]=>0000000 [6,5,4,8,1,7,2,3]=>[3,2,7,1,8,4,5,6]=>0000000 [6,5,4,7,1,8,2,3]=>[3,2,8,1,7,4,5,6]=>0000000 [5,4,3,2,7,8,1,6]=>[6,1,8,7,2,3,4,5]=>0000000 [4,6,3,8,5,1,2,7]=>[7,2,1,5,8,3,6,4]=>0000000 [5,6,8,3,4,1,2,7]=>[7,2,1,4,3,8,6,5]=>0000000 [5,6,8,3,4,1,7,2]=>[2,7,1,4,3,8,6,5]=>0000000 [4,6,2,7,5,3,1,8]=>[8,1,3,5,7,2,6,4]=>0000000 [5,6,8,4,3,1,2,7]=>[7,2,1,3,4,8,6,5]=>0000000 [5,7,8,4,1,3,6,2]=>[2,6,3,1,4,8,7,5]=>0000000 [5,6,8,4,2,1,7,3]=>[3,7,1,2,4,8,6,5]=>0000000 [5,6,8,2,4,1,7,3]=>[3,7,1,4,2,8,6,5]=>0000000 [3,2,6,8,5,1,4,7]=>[7,4,1,5,8,6,2,3]=>0000000 [5,6,8,4,2,1,3,7]=>[7,3,1,2,4,8,6,5]=>0000000 [5,7,8,4,1,3,2,6]=>[6,2,3,1,4,8,7,5]=>0000000 [5,7,8,4,1,2,3,6]=>[6,3,2,1,4,8,7,5]=>0000000 [6,7,8,1,5,2,3,4]=>[4,3,2,5,1,8,7,6]=>0000100 [6,7,8,1,5,3,2,4]=>[4,2,3,5,1,8,7,6]=>0000100 [6,7,8,1,3,5,2,4]=>[4,2,5,3,1,8,7,6]=>0000100 [5,7,8,2,1,6,3,4]=>[4,3,6,1,2,8,7,5]=>0000000 [4,7,2,8,1,6,3,5]=>[5,3,6,1,8,2,7,4]=>0000000 [3,2,7,8,1,6,4,5]=>[5,4,6,1,8,7,2,3]=>0000000 [4,7,2,8,1,6,5,3]=>[3,5,6,1,8,2,7,4]=>0000000 [5,7,8,2,1,6,4,3]=>[3,4,6,1,2,8,7,5]=>0000000 [6,7,8,1,3,5,4,2]=>[2,4,5,3,1,8,7,6]=>0000100 [6,7,8,1,5,3,4,2]=>[2,4,3,5,1,8,7,6]=>0000100 [6,7,8,1,4,3,5,2]=>[2,5,3,4,1,8,7,6]=>0000100 [5,6,8,3,2,1,7,4]=>[4,7,1,2,3,8,6,5]=>0000000 [4,7,3,8,1,6,2,5]=>[5,2,6,1,8,3,7,4]=>0000000 [4,7,3,8,1,5,6,2]=>[2,6,5,1,8,3,7,4]=>0000000 [4,7,3,8,1,5,2,6]=>[6,2,5,1,8,3,7,4]=>0000000 [4,7,3,8,1,2,5,6]=>[6,5,2,1,8,3,7,4]=>0000000 [5,7,8,3,1,2,4,6]=>[6,4,2,1,3,8,7,5]=>0000000 [5,6,8,3,2,1,4,7]=>[7,4,1,2,3,8,6,5]=>0000000 [3,2,7,8,1,5,4,6]=>[6,4,5,1,8,7,2,3]=>0000000 [6,7,8,1,3,4,2,5]=>[5,2,4,3,1,8,7,6]=>0000100 [6,7,8,1,4,2,3,5]=>[5,3,2,4,1,8,7,6]=>0000100 [6,7,8,1,2,5,3,4]=>[4,3,5,2,1,8,7,6]=>0000100 [6,7,8,1,2,4,5,3]=>[3,5,4,2,1,8,7,6]=>0000100 [5,7,8,2,1,3,6,4]=>[4,6,3,1,2,8,7,5]=>0000000 [3,2,7,8,1,4,6,5]=>[5,6,4,1,8,7,2,3]=>0000000 [6,7,8,1,3,2,4,5]=>[5,4,2,3,1,8,7,6]=>0000100 [6,7,8,1,2,4,3,5]=>[5,3,4,2,1,8,7,6]=>0000100 [6,7,8,1,2,3,5,4]=>[4,5,3,2,1,8,7,6]=>0000100 [8,3,5,1,7,4,6,2]=>[2,6,4,7,1,5,3,8]=>0000001 [8,3,4,1,7,5,6,2]=>[2,6,5,7,1,4,3,8]=>0000001 [4,8,3,1,7,5,6,2]=>[2,6,5,7,1,3,8,4]=>0000000 [4,6,2,1,7,5,8,3]=>[3,8,5,7,1,2,6,4]=>0000000 [1,4,6,2,7,5,8,3]=>[3,8,5,7,2,6,4,1]=>0000000 [1,7,5,2,6,8,4,3]=>[3,4,8,6,2,5,7,1]=>0000000 [7,5,2,1,6,8,4,3]=>[3,4,8,6,1,2,5,7]=>0000000 [6,8,4,3,1,7,5,2]=>[2,5,7,1,3,4,8,6]=>0000000 [4,7,5,6,1,8,3,2]=>[2,3,8,1,6,5,7,4]=>0000000 [6,7,5,1,8,4,3,2]=>[2,3,4,8,1,5,7,6]=>0000000 [6,8,4,1,7,5,3,2]=>[2,3,5,7,1,4,8,6]=>0000000 [6,7,5,3,1,8,4,2]=>[2,4,8,1,3,5,7,6]=>0000000 [8,4,2,1,6,7,5,3]=>[3,5,7,6,1,2,4,8]=>0000001 [1,8,4,2,6,7,5,3]=>[3,5,7,6,2,4,8,1]=>0000000 [1,5,3,2,7,6,8,4]=>[4,8,6,7,2,3,5,1]=>0000000 [2,5,3,1,7,6,8,4]=>[4,8,6,7,1,3,5,2]=>0000000 [2,7,5,1,6,8,4,3]=>[3,4,8,6,1,5,7,2]=>0000000 [4,7,1,6,5,8,2,3]=>[3,2,8,5,6,1,7,4]=>0000000 [4,6,1,2,7,5,8,3]=>[3,8,5,7,2,1,6,4]=>0000000 [8,4,1,2,6,7,5,3]=>[3,5,7,6,2,1,4,8]=>0000001 [5,3,1,2,7,6,8,4]=>[4,8,6,7,2,1,3,5]=>0000000 [4,3,1,2,7,6,8,5]=>[5,8,6,7,2,1,3,4]=>0000000 [3,5,1,2,7,6,8,4]=>[4,8,6,7,2,1,5,3]=>0000000 [6,7,1,5,8,2,3,4]=>[4,3,2,8,5,1,7,6]=>0000000 [2,7,6,1,5,8,3,4]=>[4,3,8,5,1,6,7,2]=>0000000 [2,3,5,1,7,6,8,4]=>[4,8,6,7,1,5,3,2]=>0000000 [8,4,1,6,7,5,2,3]=>[3,2,5,7,6,1,4,8]=>0000001 [5,2,3,1,7,6,8,4]=>[4,8,6,7,1,3,2,5]=>0000000 [3,5,2,1,7,6,8,4]=>[4,8,6,7,1,2,5,3]=>0000000 [1,7,6,2,5,8,3,4]=>[4,3,8,5,2,6,7,1]=>0000000 [7,6,2,1,5,8,3,4]=>[4,3,8,5,1,2,6,7]=>0000000 [8,2,6,4,7,1,5,3]=>[3,5,1,7,4,6,2,8]=>0000001 [6,1,5,2,7,4,8,3]=>[3,8,4,7,2,5,1,6]=>0000000 [7,6,2,5,8,3,1,4]=>[4,1,3,8,5,2,6,7]=>0000000 [1,8,3,5,7,6,2,4]=>[4,2,6,7,5,3,8,1]=>0000000 [1,5,2,3,7,6,8,4]=>[4,8,6,7,3,2,5,1]=>0000000 [5,2,1,3,7,6,8,4]=>[4,8,6,7,3,1,2,5]=>0000000 [8,4,2,6,7,5,1,3]=>[3,1,5,7,6,2,4,8]=>0000001 [6,1,4,2,7,5,8,3]=>[3,8,5,7,2,4,1,6]=>0000000 [8,2,6,5,7,1,4,3]=>[3,4,1,7,5,6,2,8]=>0000001 [5,1,3,2,7,6,8,4]=>[4,8,6,7,2,3,1,5]=>0000000 [1,4,2,3,7,6,8,5]=>[5,8,6,7,3,2,4,1]=>0000000 [2,4,1,3,7,6,8,5]=>[5,8,6,7,3,1,4,2]=>0000000 [2,5,1,3,7,6,8,4]=>[4,8,6,7,3,1,5,2]=>0000000 [2,8,3,5,7,6,1,4]=>[4,1,6,7,5,3,8,2]=>0000000 [6,8,2,3,5,7,1,4]=>[4,1,7,5,3,2,8,6]=>0000000 [6,7,1,3,5,8,2,4]=>[4,2,8,5,3,1,7,6]=>0000000 [8,3,5,7,6,1,2,4]=>[4,2,1,6,7,5,3,8]=>0000001 [5,1,2,3,7,6,8,4]=>[4,8,6,7,3,2,1,5]=>0000000 [4,7,1,2,8,6,5,3]=>[3,5,6,8,2,1,7,4]=>0000000 [4,6,8,1,2,7,5,3]=>[3,5,7,2,1,8,6,4]=>0000000 [6,8,7,1,5,3,2,4]=>[4,2,3,5,1,7,8,6]=>0000100 [6,8,7,3,5,1,2,4]=>[4,2,1,5,3,7,8,6]=>0000100 [7,8,1,3,6,5,2,4]=>[4,2,5,6,3,1,8,7]=>0000010 [1,7,3,4,8,6,5,2]=>[2,5,6,8,4,3,7,1]=>0000000 [4,2,7,1,8,6,5,3]=>[3,5,6,8,1,7,2,4]=>0000000 [7,8,2,3,6,5,1,4]=>[4,1,5,6,3,2,8,7]=>0000010 [8,5,7,1,6,2,3,4]=>[4,3,2,6,1,7,5,8]=>0000001 [8,5,7,1,2,6,3,4]=>[4,3,6,2,1,7,5,8]=>0000001 [6,8,2,7,1,3,5,4]=>[4,5,3,1,7,2,8,6]=>0000000 [6,2,4,8,7,1,5,3]=>[3,5,1,7,8,4,2,6]=>0000000 [1,6,8,3,7,4,5,2]=>[2,5,4,7,3,8,6,1]=>0000000 [1,6,8,3,4,7,5,2]=>[2,5,7,4,3,8,6,1]=>0000000 [6,2,4,8,1,7,5,3]=>[3,5,7,1,8,4,2,6]=>0000000 [6,8,7,2,3,5,1,4]=>[4,1,5,3,2,7,8,6]=>0000100 [6,8,2,1,7,3,5,4]=>[4,5,3,7,1,2,8,6]=>0000000 [8,5,7,2,1,6,3,4]=>[4,3,6,1,2,7,5,8]=>0000001 [8,5,7,1,2,3,6,4]=>[4,6,3,2,1,7,5,8]=>0000001 [8,5,7,2,3,1,6,4]=>[4,6,1,3,2,7,5,8]=>0000001 [1,8,7,5,3,4,6,2]=>[2,6,4,3,5,7,8,1]=>0000000 [1,8,7,3,5,4,6,2]=>[2,6,4,5,3,7,8,1]=>0000000 [8,2,5,4,7,1,6,3]=>[3,6,1,7,4,5,2,8]=>0000001 [8,7,6,1,2,4,3,5]=>[5,3,4,2,1,6,7,8]=>0000111 [8,7,6,1,4,2,3,5]=>[5,3,2,4,1,6,7,8]=>0000111 [8,7,6,4,1,3,2,5]=>[5,2,3,1,4,6,7,8]=>0000111 [8,5,7,1,3,2,6,4]=>[4,6,2,3,1,7,5,8]=>0000001 [5,8,4,7,1,2,6,3]=>[3,6,2,1,7,4,8,5]=>0000000 [8,1,2,6,5,7,4,3]=>[3,4,7,5,6,2,1,8]=>0000001 [8,2,5,6,7,4,1,3]=>[3,1,4,7,6,5,2,8]=>0000001 [4,8,5,1,7,2,6,3]=>[3,6,2,7,1,5,8,4]=>0000000 [8,5,3,7,1,2,6,4]=>[4,6,2,1,7,3,5,8]=>0000001 [4,6,2,8,1,7,5,3]=>[3,5,7,1,8,2,6,4]=>0000000 [1,6,4,8,3,7,5,2]=>[2,5,7,3,8,4,6,1]=>0000000 [1,8,7,4,5,3,6,2]=>[2,6,3,5,4,7,8,1]=>0000000 [4,8,5,7,2,1,6,3]=>[3,6,1,2,7,5,8,4]=>0000000 [8,5,3,7,2,1,6,4]=>[4,6,1,2,7,3,5,8]=>0000001 [8,7,6,3,1,4,2,5]=>[5,2,4,1,3,6,7,8]=>0000111 [8,5,3,2,7,1,6,4]=>[4,6,1,7,2,3,5,8]=>0000001 [1,8,7,4,3,5,6,2]=>[2,6,5,3,4,7,8,1]=>0000000 [1,8,7,3,4,5,6,2]=>[2,6,5,4,3,7,8,1]=>0000000 [8,2,4,5,7,1,6,3]=>[3,6,1,7,5,4,2,8]=>0000001 [8,5,2,3,7,1,6,4]=>[4,6,1,7,3,2,5,8]=>0000001 [8,3,1,5,2,7,6,4]=>[4,6,7,2,5,1,3,8]=>0000001 [8,5,4,2,1,7,3,6]=>[6,3,7,1,2,4,5,8]=>0000001 [8,5,4,2,1,7,6,3]=>[3,6,7,1,2,4,5,8]=>0000001 [6,5,4,2,3,1,8,7]=>[7,8,1,3,2,4,5,6]=>0000000 [6,3,2,5,1,4,8,7]=>[7,8,4,1,5,2,3,6]=>0000000 [8,5,4,1,2,7,6,3]=>[3,6,7,2,1,4,5,8]=>0000001 [8,7,4,1,6,3,2,5]=>[5,2,3,6,1,4,7,8]=>0000011 [8,7,4,1,6,3,5,2]=>[2,5,3,6,1,4,7,8]=>0000011 [8,7,4,1,6,5,3,2]=>[2,3,5,6,1,4,7,8]=>0000011 [8,5,4,3,1,7,6,2]=>[2,6,7,1,3,4,5,8]=>0000001 [8,3,2,5,1,7,6,4]=>[4,6,7,1,5,2,3,8]=>0000001 [8,3,2,5,1,7,4,6]=>[6,4,7,1,5,2,3,8]=>0000001 [8,5,4,3,1,7,2,6]=>[6,2,7,1,3,4,5,8]=>0000001 [8,5,4,1,3,7,2,6]=>[6,2,7,3,1,4,5,8]=>0000001 [8,7,4,1,6,5,2,3]=>[3,2,5,6,1,4,7,8]=>0000011 [2,1,8,7,6,4,5,3]=>[3,5,4,6,7,8,1,2]=>0000000 [8,3,2,7,6,4,5,1]=>[1,5,4,6,7,2,3,8]=>1000001 [8,5,4,2,3,7,6,1]=>[1,6,7,3,2,4,5,8]=>1000001 [8,7,4,2,6,5,3,1]=>[1,3,5,6,2,4,7,8]=>1000011 [8,7,4,2,6,3,5,1]=>[1,5,3,6,2,4,7,8]=>1000011 [8,7,4,2,6,3,1,5]=>[5,1,3,6,2,4,7,8]=>0000011 [8,3,1,7,6,4,2,5]=>[5,2,4,6,7,1,3,8]=>0000001 [8,3,1,7,6,4,5,2]=>[2,5,4,6,7,1,3,8]=>0000001 [8,3,1,5,4,7,6,2]=>[2,6,7,4,5,1,3,8]=>0000001 [8,3,1,7,6,5,2,4]=>[4,2,5,6,7,1,3,8]=>0000001 [8,3,1,7,6,2,5,4]=>[4,5,2,6,7,1,3,8]=>0000001 [8,5,4,2,3,7,1,6]=>[6,1,7,3,2,4,5,8]=>0000001 [8,3,2,5,4,7,1,6]=>[6,1,7,4,5,2,3,8]=>0000001 [2,1,8,5,4,7,3,6]=>[6,3,7,4,5,8,1,2]=>0000000 [8,3,2,7,6,5,1,4]=>[4,1,5,6,7,2,3,8]=>0000001 [8,7,6,5,3,1,4,2]=>[2,4,1,3,5,6,7,8]=>0001111 [8,3,2,7,6,1,5,4]=>[4,5,1,6,7,2,3,8]=>0000001 [8,7,6,5,1,2,4,3]=>[3,4,2,1,5,6,7,8]=>0001111 [5,2,3,1,6,4,8,7]=>[7,8,4,6,1,3,2,5]=>0000000 [7,4,5,2,3,1,8,6]=>[6,8,1,3,2,5,4,7]=>0000000 [7,3,5,2,4,1,8,6]=>[6,8,1,4,2,5,3,7]=>0000000 [6,3,5,2,4,1,8,7]=>[7,8,1,4,2,5,3,6]=>0000000 [4,1,6,3,5,2,8,7]=>[7,8,2,5,3,6,1,4]=>0000000 [6,3,4,1,5,2,8,7]=>[7,8,2,5,1,4,3,6]=>0000000 [5,2,7,3,4,1,8,6]=>[6,8,1,4,3,7,2,5]=>0000000 [6,2,8,5,7,3,4,1]=>[1,4,3,7,5,8,2,6]=>1000000 [6,2,7,3,4,1,8,5]=>[5,8,1,4,3,7,2,6]=>0000000 [7,3,4,1,5,2,8,6]=>[6,8,2,5,1,4,3,7]=>0000000 [4,1,7,3,5,2,8,6]=>[6,8,2,5,3,7,1,4]=>0000000 [2,1,7,4,5,3,8,6]=>[6,8,3,5,4,7,1,2]=>0000000 [3,1,8,6,7,4,5,2]=>[2,5,4,7,6,8,1,3]=>0000000 [4,1,8,6,7,3,5,2]=>[2,5,3,7,6,8,1,4]=>0000000 [8,5,7,3,4,1,6,2]=>[2,6,1,4,3,7,5,8]=>0000001 [8,5,6,2,7,3,4,1]=>[1,4,3,7,2,6,5,8]=>1000001 [8,4,7,3,5,1,6,2]=>[2,6,1,5,3,7,4,8]=>0000001 [5,1,8,4,7,3,6,2]=>[2,6,3,7,4,8,1,5]=>0000000 [3,1,8,5,7,4,6,2]=>[2,6,4,7,5,8,1,3]=>0000000 [2,1,8,5,7,4,6,3]=>[3,6,4,7,5,8,1,2]=>0000000 [3,1,7,4,6,2,8,5]=>[5,8,2,6,4,7,1,3]=>0000000 [4,1,7,3,6,2,8,5]=>[5,8,2,6,3,7,1,4]=>0000000 [6,2,8,4,7,3,5,1]=>[1,5,3,7,4,8,2,6]=>1000000 [7,3,6,2,5,1,8,4]=>[4,8,1,5,2,6,3,7]=>0000000 [5,2,4,1,7,3,8,6]=>[6,8,3,7,1,4,2,5]=>0000000 [6,2,4,1,7,3,8,5]=>[5,8,3,7,1,4,2,6]=>0000000 [7,4,6,2,3,1,8,5]=>[5,8,1,3,2,6,4,7]=>0000000 [6,2,3,1,7,4,8,5]=>[5,8,4,7,1,3,2,6]=>0000000 [5,2,3,1,7,4,8,6]=>[6,8,4,7,1,3,2,5]=>0000000 [4,2,3,1,7,5,8,6]=>[6,8,5,7,1,3,2,4]=>0000000 [3,1,4,2,8,6,7,5]=>[5,7,6,8,2,4,1,3]=>0000000 [6,2,3,1,8,5,7,4]=>[4,7,5,8,1,3,2,6]=>0000000 [8,5,6,2,3,1,7,4]=>[4,7,1,3,2,6,5,8]=>0000001 [7,3,8,5,6,2,4,1]=>[1,4,2,6,5,8,3,7]=>1000000 [8,5,6,2,4,1,7,3]=>[3,7,1,4,2,6,5,8]=>0000001 [5,2,4,1,8,6,7,3]=>[3,7,6,8,1,4,2,5]=>0000000 [4,1,5,2,8,6,7,3]=>[3,7,6,8,2,5,1,4]=>0000000 [3,1,6,2,8,5,7,4]=>[4,7,5,8,2,6,1,3]=>0000000 [5,1,6,2,8,4,7,3]=>[3,7,4,8,2,6,1,5]=>0000000 [8,4,6,2,5,1,7,3]=>[3,7,1,5,2,6,4,8]=>0000001 [7,3,8,4,6,2,5,1]=>[1,5,2,6,4,8,3,7]=>1000000 [6,2,7,3,8,4,5,1]=>[1,5,4,8,3,7,2,6]=>1000000 [8,4,5,1,6,2,7,3]=>[3,7,2,6,1,5,4,8]=>0000001 [4,1,8,5,6,2,7,3]=>[3,7,2,6,5,8,1,4]=>0000000 [3,1,8,5,6,2,7,4]=>[4,7,2,6,5,8,1,3]=>0000000 [2,1,8,5,6,3,7,4]=>[4,7,3,6,5,8,1,2]=>0000000 [3,1,7,4,8,5,6,2]=>[2,6,5,8,4,7,1,3]=>0000000 [7,3,6,2,8,4,5,1]=>[1,5,4,8,2,6,3,7]=>1000000 [6,8,7,3,4,1,2,5]=>[5,2,1,4,3,7,8,6]=>0000100 [5,4,8,7,2,6,3,1]=>[1,3,6,2,7,8,4,5]=>1000000 [8,3,4,6,5,1,2,7]=>[7,2,1,5,6,4,3,8]=>0000001 [3,4,8,7,6,1,2,5]=>[5,2,1,6,7,8,4,3]=>0000000 [4,5,8,7,6,1,2,3]=>[3,2,1,6,7,8,5,4]=>0010000 [2,5,8,7,1,6,3,4]=>[4,3,6,1,7,8,5,2]=>0000000 [2,4,8,7,1,6,3,5]=>[5,3,6,1,7,8,4,2]=>0000000 [8,1,4,6,2,5,3,7]=>[7,3,5,2,6,4,1,8]=>0000001 [1,5,8,7,2,6,3,4]=>[4,3,6,2,7,8,5,1]=>0000000 [2,5,8,3,7,6,4,1]=>[1,4,6,7,3,8,5,2]=>1000000 [1,4,2,8,7,6,5,3]=>[3,5,6,7,8,2,4,1]=>0000000 [5,2,8,1,7,6,4,3]=>[3,4,6,7,1,8,2,5]=>0000000 [5,3,8,2,7,6,4,1]=>[1,4,6,7,2,8,3,5]=>1000000 [5,1,8,3,7,6,4,2]=>[2,4,6,7,3,8,1,5]=>0000000 [3,1,2,8,7,6,5,4]=>[4,5,6,7,8,2,1,3]=>0000000 [3,1,4,8,7,6,5,2]=>[2,5,6,7,8,4,1,3]=>0000000 [1,2,8,3,7,6,4,5]=>[5,4,6,7,3,8,2,1]=>0000000 [1,4,3,6,8,2,5,7]=>[7,5,2,8,6,3,4,1]=>0000000 [1,4,5,2,8,3,7,6]=>[6,7,3,8,2,5,4,1]=>0000000 [1,4,2,6,5,8,3,7]=>[7,3,8,5,6,2,4,1]=>0000000 [1,5,4,2,6,8,3,7]=>[7,3,8,6,2,4,5,1]=>0000000 [3,1,6,5,8,2,4,7]=>[7,4,2,8,5,6,1,3]=>0000000 [1,6,4,2,5,8,3,7]=>[7,3,8,5,2,4,6,1]=>0000000 [1,5,2,6,4,8,3,7]=>[7,3,8,4,6,2,5,1]=>0000000 [1,2,6,5,4,8,3,7]=>[7,3,8,4,5,6,2,1]=>0000000 [1,2,5,4,7,3,8,6]=>[6,8,3,7,4,5,2,1]=>0000000 [4,1,2,6,3,8,7,5]=>[5,7,8,3,6,2,1,4]=>0000000 [7,1,5,4,2,8,3,6]=>[6,3,8,2,4,5,1,7]=>0000000 [1,4,7,5,2,8,3,6]=>[6,3,8,2,5,7,4,1]=>0000000 [7,1,3,5,2,8,4,6]=>[6,4,8,2,5,3,1,7]=>0000000 [1,4,5,2,8,7,3,6]=>[6,3,7,8,2,5,4,1]=>0000000 [1,6,4,2,8,3,7,5]=>[5,7,3,8,2,4,6,1]=>0000000 [1,4,2,8,3,7,6,5]=>[5,6,7,3,8,2,4,1]=>0000000 [1,2,8,6,5,3,7,4]=>[4,7,3,5,6,8,2,1]=>0000000 [6,2,1,8,7,3,4,5]=>[5,4,3,7,8,1,2,6]=>0000000 [7,6,2,1,8,3,4,5]=>[5,4,3,8,1,2,6,7]=>0000000 [7,3,1,6,2,8,4,5]=>[5,4,8,2,6,1,3,7]=>0000000 [1,7,6,4,2,8,3,5]=>[5,3,8,2,4,6,7,1]=>0000000 [1,7,5,2,6,3,8,4]=>[4,8,3,6,2,5,7,1]=>0000000 [1,6,2,7,5,3,8,4]=>[4,8,3,5,7,2,6,1]=>0000000 [1,2,7,6,5,3,8,4]=>[4,8,3,5,6,7,2,1]=>0000000 [1,2,6,5,3,8,7,4]=>[4,7,8,3,5,6,2,1]=>0000000 [1,5,2,7,6,3,8,4]=>[4,8,3,6,7,2,5,1]=>0000000 [1,6,5,2,7,3,8,4]=>[4,8,3,7,2,5,6,1]=>0000000 [1,5,7,4,2,8,3,6]=>[6,3,8,2,4,7,5,1]=>0000000 [3,1,8,6,2,4,7,5]=>[5,7,4,2,6,8,1,3]=>0000000 [4,3,7,1,8,2,5,6]=>[6,5,2,8,1,7,3,4]=>0000000 [8,3,1,6,2,4,7,5]=>[5,7,4,2,6,1,3,8]=>0000001 [7,1,8,3,2,4,6,5]=>[5,6,4,2,3,8,1,7]=>0000000 [1,4,2,8,7,3,6,5]=>[5,6,3,7,8,2,4,1]=>0000000 [1,7,4,2,8,3,6,5]=>[5,6,3,8,2,4,7,1]=>0000000 [8,1,5,4,2,7,3,6]=>[6,3,7,2,4,5,1,8]=>0000001 [1,4,8,5,2,7,3,6]=>[6,3,7,2,5,8,4,1]=>0000000 [8,5,3,1,7,2,4,6]=>[6,4,2,7,1,3,5,8]=>0000001 [8,6,2,1,7,3,4,5]=>[5,4,3,7,1,2,6,8]=>0000001 [1,8,6,4,2,7,3,5]=>[5,3,7,2,4,6,8,1]=>0000000 [1,5,2,7,3,8,6,4]=>[4,6,8,3,7,2,5,1]=>0000000 [1,2,8,5,3,7,6,4]=>[4,6,7,3,5,8,2,1]=>0000000 [1,2,6,3,8,7,5,4]=>[4,5,7,8,3,6,2,1]=>0000000 [1,2,7,6,3,8,5,4]=>[4,5,8,3,6,7,2,1]=>0000000 [1,6,2,7,3,8,5,4]=>[4,5,8,3,7,2,6,1]=>0000000 [1,7,4,2,8,6,3,5]=>[5,3,6,8,2,4,7,1]=>0000000 [7,1,8,3,2,6,4,5]=>[5,4,6,2,3,8,1,7]=>0000000 [7,2,1,8,6,3,4,5]=>[5,4,3,6,8,1,2,7]=>0000000 [1,8,7,3,2,6,4,5]=>[5,4,6,2,3,7,8,1]=>0000000 [1,4,2,8,7,6,3,5]=>[5,3,6,7,8,2,4,1]=>0000000 [1,2,8,7,5,3,6,4]=>[4,6,3,5,7,8,2,1]=>0000000 [5,1,8,7,6,2,4,3]=>[3,4,2,6,7,8,1,5]=>0000000 [8,1,7,6,3,4,5,2]=>[2,5,4,3,6,7,1,8]=>0000001 [5,7,8,6,2,4,1,3]=>[3,1,4,2,6,8,7,5]=>0001000 [5,7,1,6,2,4,3,8]=>[8,3,4,2,6,1,7,5]=>0000000 [6,4,1,5,2,7,3,8]=>[8,3,7,2,5,1,4,6]=>0000000 [8,1,4,5,3,7,6,2]=>[2,6,7,3,5,4,1,8]=>0000001 [6,1,4,5,3,8,7,2]=>[2,7,8,3,5,4,1,6]=>0000000 [7,1,4,5,3,8,6,2]=>[2,6,8,3,5,4,1,7]=>0000000 [7,1,4,5,3,6,8,2]=>[2,8,6,3,5,4,1,7]=>0000000 [7,4,1,5,2,6,3,8]=>[8,3,6,2,5,1,4,7]=>0000000 [6,3,5,7,2,1,4,8]=>[8,4,1,2,7,5,3,6]=>0000000 [6,3,5,8,2,1,7,4]=>[4,7,1,2,8,5,3,6]=>0000000 [6,3,5,7,2,1,8,4]=>[4,8,1,2,7,5,3,6]=>0000000 [8,4,5,7,3,6,1,2]=>[2,1,6,3,7,5,4,8]=>0100001 [6,4,5,8,3,7,2,1]=>[1,2,7,3,8,5,4,6]=>1100000 [5,4,8,6,3,1,7,2]=>[2,7,1,3,6,8,4,5]=>0000000 [5,4,1,8,2,3,7,6]=>[6,7,3,2,8,1,4,5]=>0000000 [8,4,1,5,2,6,3,7]=>[7,3,6,2,5,1,4,8]=>0000001 [6,3,5,8,2,1,4,7]=>[7,4,1,2,8,5,3,6]=>0000000 [2,3,8,5,1,4,7,6]=>[6,7,4,1,5,8,3,2]=>0000000 [2,3,8,6,1,5,7,4]=>[4,7,5,1,6,8,3,2]=>0000000 [2,8,6,7,1,3,5,4]=>[4,5,3,1,7,6,8,2]=>0000000 [8,3,5,7,2,1,6,4]=>[4,6,1,2,7,5,3,8]=>0000001 [8,4,5,6,3,1,7,2]=>[2,7,1,3,6,5,4,8]=>0000001 [7,3,5,6,2,8,1,4]=>[4,1,8,2,6,5,3,7]=>0000000 [7,3,5,8,2,1,6,4]=>[4,6,1,2,8,5,3,7]=>0000000 [7,3,5,6,2,1,4,8]=>[8,4,1,2,6,5,3,7]=>0000000 [2,7,6,5,1,3,4,8]=>[8,4,3,1,5,6,7,2]=>0000000 [2,7,6,8,1,3,5,4]=>[4,5,3,1,8,6,7,2]=>0000000 [8,7,5,6,1,4,2,3]=>[3,2,4,1,6,5,7,8]=>0001011 [2,7,1,3,6,5,8,4]=>[4,8,5,6,3,1,7,2]=>0000000 [2,7,6,1,8,3,4,5]=>[5,4,3,8,1,6,7,2]=>0000000 [2,7,6,1,4,3,5,8]=>[8,5,3,4,1,6,7,2]=>0000000 [7,3,5,1,2,8,4,6]=>[6,4,8,2,1,5,3,7]=>0000000 [2,3,8,6,4,1,7,5]=>[5,7,1,4,6,8,3,2]=>0000000 [2,8,6,1,7,3,4,5]=>[5,4,3,7,1,6,8,2]=>0000000 [2,3,8,1,6,4,7,5]=>[5,7,4,6,1,8,3,2]=>0000000 [2,3,8,1,4,5,7,6]=>[6,7,5,4,1,8,3,2]=>0000000 [5,6,2,1,3,8,7,4]=>[4,7,8,3,1,2,6,5]=>0000000 [5,1,6,4,2,8,7,3]=>[3,7,8,2,4,6,1,5]=>0000000 [5,6,3,1,2,8,7,4]=>[4,7,8,2,1,3,6,5]=>0000000 [5,1,7,4,8,2,6,3]=>[3,6,2,8,4,7,1,5]=>0000000 [5,1,7,4,8,6,2,3]=>[3,2,6,8,4,7,1,5]=>0000000 [5,7,3,1,8,6,2,4]=>[4,2,6,8,1,3,7,5]=>0000000 [6,7,1,8,3,5,2,4]=>[4,2,5,3,8,1,7,6]=>0000000 [6,1,7,8,4,5,2,3]=>[3,2,5,4,8,7,1,6]=>0000000 [1,6,7,8,4,5,3,2]=>[2,3,5,4,8,7,6,1]=>0000000 [1,6,7,8,4,3,5,2]=>[2,5,3,4,8,7,6,1]=>0000000 [6,2,7,8,4,1,5,3]=>[3,5,1,4,8,7,2,6]=>0000000 [4,1,2,7,8,6,5,3]=>[3,5,6,8,7,2,1,4]=>0000000 [1,6,7,8,3,5,4,2]=>[2,4,5,3,8,7,6,1]=>0000000 [6,7,8,2,4,1,3,5]=>[5,3,1,4,2,8,7,6]=>0000100 [6,7,1,8,5,2,3,4]=>[4,3,2,5,8,1,7,6]=>0000000 [6,1,7,8,5,4,2,3]=>[3,2,4,5,8,7,1,6]=>0000000 [3,7,4,8,5,6,1,2]=>[2,1,6,5,8,4,7,3]=>0100000 [2,7,3,8,5,6,1,4]=>[4,1,6,5,8,3,7,2]=>0000000 [3,7,1,8,4,6,2,5]=>[5,2,6,4,8,1,7,3]=>0000000 [2,6,1,8,4,7,3,5]=>[5,3,7,4,8,1,6,2]=>0000000 [4,8,1,6,2,7,3,5]=>[5,3,7,2,6,1,8,4]=>0000000 [5,8,2,6,1,7,3,4]=>[4,3,7,1,6,2,8,5]=>0000000 [4,8,2,6,1,7,3,5]=>[5,3,7,1,6,2,8,4]=>0000000 [8,6,1,4,3,2,5,7]=>[7,5,2,3,4,1,6,8]=>0000001 [3,7,5,1,8,2,4,6]=>[6,4,2,8,1,5,7,3]=>0000000 [4,1,5,2,8,7,3,6]=>[6,3,7,8,2,5,1,4]=>0000000 [8,1,2,4,6,5,3,7]=>[7,3,5,6,4,2,1,8]=>0000001 [8,2,6,5,1,3,4,7]=>[7,4,3,1,5,6,2,8]=>0000001 [8,3,1,6,2,5,4,7]=>[7,4,5,2,6,1,3,8]=>0000001 [8,1,2,6,4,5,3,7]=>[7,3,5,4,6,2,1,8]=>0000001 [8,1,2,5,6,4,3,7]=>[7,3,4,6,5,2,1,8]=>0000001 [1,7,5,4,2,8,3,6]=>[6,3,8,2,4,5,7,1]=>0000000 [1,4,6,8,2,7,3,5]=>[5,3,7,2,8,6,4,1]=>0000000 [1,4,7,6,2,8,3,5]=>[5,3,8,2,6,7,4,1]=>0000000 [5,1,4,7,2,8,3,6]=>[6,3,8,2,7,4,1,5]=>0000000 [3,7,5,1,2,8,4,6]=>[6,4,8,2,1,5,7,3]=>0000000 [4,1,5,8,2,7,3,6]=>[6,3,7,2,8,5,1,4]=>0000000 [1,4,6,2,8,7,3,5]=>[5,3,7,8,2,6,4,1]=>0000000 [1,4,2,8,6,7,3,5]=>[5,3,7,6,8,2,4,1]=>0000000 [3,1,2,6,4,8,7,5]=>[5,7,8,4,6,2,1,3]=>0000000 [2,1,7,6,3,4,8,5]=>[5,8,4,3,6,7,1,2]=>0000000 [3,1,2,7,4,6,8,5]=>[5,8,6,4,7,2,1,3]=>0000000 [1,2,3,6,8,5,7,4]=>[4,7,5,8,6,3,2,1]=>0000000 [5,1,4,2,7,8,3,6]=>[6,3,8,7,2,4,1,5]=>0000000 [1,4,2,7,6,8,3,5]=>[5,3,8,6,7,2,4,1]=>0000000 [1,4,2,6,8,7,3,5]=>[5,3,7,8,6,2,4,1]=>0000000 [5,3,7,1,8,2,4,6]=>[6,4,2,8,1,7,3,5]=>0000000 [1,7,4,3,2,5,8,6]=>[6,8,5,2,3,4,7,1]=>0000000 [4,8,7,2,1,3,5,6]=>[6,5,3,1,2,7,8,4]=>0000000 [1,8,7,3,4,2,5,6]=>[6,5,2,4,3,7,8,1]=>0000000 [3,1,7,8,2,6,4,5]=>[5,4,6,2,8,7,1,3]=>0000000 [1,4,2,7,8,3,6,5]=>[5,6,3,8,7,2,4,1]=>0000000 [2,1,8,6,3,4,7,5]=>[5,7,4,3,6,8,1,2]=>0000000 [1,4,2,6,8,3,7,5]=>[5,7,3,8,6,2,4,1]=>0000000 [1,2,3,7,8,5,6,4]=>[4,6,5,8,7,3,2,1]=>0000000 [1,2,3,7,5,8,6,4]=>[4,6,8,5,7,3,2,1]=>0000000 [3,1,7,2,8,6,4,5]=>[5,4,6,8,2,7,1,3]=>0000000 [1,2,3,8,7,5,6,4]=>[4,6,5,7,8,3,2,1]=>0000000 [5,7,8,4,2,6,1,3]=>[3,1,6,2,4,8,7,5]=>0000000 [6,7,8,4,2,5,1,3]=>[3,1,5,2,4,8,7,6]=>0000100 [8,6,3,7,2,1,5,4]=>[4,5,1,2,7,3,6,8]=>0000001 [6,7,8,3,2,1,5,4]=>[4,5,1,2,3,8,7,6]=>0000100 [5,7,8,3,2,1,6,4]=>[4,6,1,2,3,8,7,5]=>0000000 [2,7,8,4,3,5,6,1]=>[1,6,5,3,4,8,7,2]=>1000000 [3,7,8,4,2,5,1,6]=>[6,1,5,2,4,8,7,3]=>0000000 [7,6,3,8,2,1,4,5]=>[5,4,1,2,8,3,6,7]=>0000000 [8,6,3,7,2,1,4,5]=>[5,4,1,2,7,3,6,8]=>0000001 [5,6,3,8,2,1,4,7]=>[7,4,1,2,8,3,6,5]=>0000000 [3,6,4,8,2,5,1,7]=>[7,1,5,2,8,4,6,3]=>0000000 [2,6,4,8,3,5,7,1]=>[1,7,5,3,8,4,6,2]=>1000000 [2,6,4,7,3,5,8,1]=>[1,8,5,3,7,4,6,2]=>1000000 [5,6,3,7,2,1,4,8]=>[8,4,1,2,7,3,6,5]=>0000000 [8,4,3,2,1,6,5,7]=>[7,5,6,1,2,3,4,8]=>0000001 [6,4,3,2,1,7,5,8]=>[8,5,7,1,2,3,4,6]=>0000000 [4,5,3,2,7,1,6,8]=>[8,6,1,7,2,3,5,4]=>0000000 [7,4,3,2,1,8,5,6]=>[6,5,8,1,2,3,4,7]=>0000000 [8,4,3,2,1,7,5,6]=>[6,5,7,1,2,3,4,8]=>0000001 [7,4,3,2,1,8,6,5]=>[5,6,8,1,2,3,4,7]=>0000000 [5,6,3,8,2,1,7,4]=>[4,7,1,2,8,3,6,5]=>0000000 [7,5,3,2,8,1,6,4]=>[4,6,1,8,2,3,5,7]=>0000000 [8,5,4,2,7,6,1,3]=>[3,1,6,7,2,4,5,8]=>0000001 [7,5,4,2,8,6,1,3]=>[3,1,6,8,2,4,5,7]=>0000000 [6,5,4,2,7,8,1,3]=>[3,1,8,7,2,4,5,6]=>0000000 [8,5,4,2,6,7,1,3]=>[3,1,7,6,2,4,5,8]=>0000001 [5,6,3,7,2,1,8,4]=>[4,8,1,2,7,3,6,5]=>0000000 [4,6,3,7,2,1,8,5]=>[5,8,1,2,7,3,6,4]=>0000000 [3,6,4,7,2,8,1,5]=>[5,1,8,2,7,4,6,3]=>0000000 [2,6,4,7,3,8,5,1]=>[1,5,8,3,7,4,6,2]=>1000000 [3,5,4,2,7,8,1,6]=>[6,1,8,7,2,4,5,3]=>0000000 [7,4,3,2,1,6,8,5]=>[5,8,6,1,2,3,4,7]=>0000000 [8,4,3,2,1,6,7,5]=>[5,7,6,1,2,3,4,8]=>0000001 [8,4,3,2,1,5,7,6]=>[6,7,5,1,2,3,4,8]=>0000001 [7,4,3,2,1,5,8,6]=>[6,8,5,1,2,3,4,7]=>0000000 [6,4,3,2,1,5,8,7]=>[7,8,5,1,2,3,4,6]=>0000000 [3,5,4,2,6,8,1,7]=>[7,1,8,6,2,4,5,3]=>0000000 [3,2,6,4,8,5,1,7]=>[7,1,5,8,4,6,2,3]=>0000000 [3,2,5,8,4,6,1,7]=>[7,1,6,4,8,5,2,3]=>0000000 [4,2,1,5,7,3,6,8]=>[8,6,3,7,5,1,2,4]=>0000000 [4,5,2,3,7,1,6,8]=>[8,6,1,7,3,2,5,4]=>0000000 [4,2,5,3,8,1,6,7]=>[7,6,1,8,3,5,2,4]=>0000000 [4,2,5,8,3,1,6,7]=>[7,6,1,3,8,5,2,4]=>0000000 [4,1,5,3,8,2,6,7]=>[7,6,2,8,3,5,1,4]=>0000000 [4,3,2,7,5,1,6,8]=>[8,6,1,5,7,2,3,4]=>0000000 [4,3,6,2,5,1,7,8]=>[8,7,1,5,2,6,3,4]=>0000000 [4,6,7,1,3,2,5,8]=>[8,5,2,3,1,7,6,4]=>0000000 [4,5,1,7,3,2,6,8]=>[8,6,2,3,7,1,5,4]=>0000000 [4,5,1,3,7,2,6,8]=>[8,6,2,7,3,1,5,4]=>0000000 [3,5,1,4,2,7,6,8]=>[8,6,7,2,4,1,5,3]=>0000000 [2,5,1,4,3,7,8,6]=>[6,8,7,3,4,1,5,2]=>0000000 [5,2,1,4,3,7,8,6]=>[6,8,7,3,4,1,2,5]=>0000000 [5,3,1,4,2,7,6,8]=>[8,6,7,2,4,1,3,5]=>0000000 [4,3,1,7,5,2,6,8]=>[8,6,2,5,7,1,3,4]=>0000000 [5,3,6,4,1,2,7,8]=>[8,7,2,1,4,6,3,5]=>0000000 [4,3,6,1,7,2,5,8]=>[8,5,2,7,1,6,3,4]=>0000000 [6,2,4,1,3,7,8,5]=>[5,8,7,3,1,4,2,6]=>0000000 [3,6,4,1,2,7,5,8]=>[8,5,7,2,1,4,6,3]=>0000000 [4,6,3,1,7,2,5,8]=>[8,5,2,7,1,3,6,4]=>0000000 [5,3,6,2,1,4,7,8]=>[8,7,4,1,2,6,3,5]=>0000000 [4,5,2,7,3,1,6,8]=>[8,6,1,3,7,2,5,4]=>0000000 [4,6,2,1,7,3,5,8]=>[8,5,3,7,1,2,6,4]=>0000000 [3,2,6,1,4,7,5,8]=>[8,5,7,4,1,6,2,3]=>0000000 [3,6,7,2,4,5,1,8]=>[8,1,5,4,2,7,6,3]=>0000000 [7,2,1,4,6,3,8,5]=>[5,8,3,6,4,1,2,7]=>0000000 [7,3,1,4,6,8,2,5]=>[5,2,8,6,4,1,3,7]=>0000000 [3,6,2,1,5,7,4,8]=>[8,4,7,5,1,2,6,3]=>0000000 [7,4,1,5,6,2,3,8]=>[8,3,2,6,5,1,4,7]=>0000000 [7,3,1,5,2,6,4,8]=>[8,4,6,2,5,1,3,7]=>0000000 [7,2,1,5,3,6,8,4]=>[4,8,6,3,5,1,2,7]=>0000000 [6,2,5,1,3,7,8,4]=>[4,8,7,3,1,5,2,6]=>0000000 [6,3,5,1,2,7,4,8]=>[8,4,7,2,1,5,3,6]=>0000000 [6,4,5,1,7,2,3,8]=>[8,3,2,7,1,5,4,6]=>0000000 [4,6,5,1,7,2,3,8]=>[8,3,2,7,1,5,6,4]=>0000000 [3,6,5,1,2,7,4,8]=>[8,4,7,2,1,5,6,3]=>0000000 [2,4,1,5,3,8,7,6]=>[6,7,8,3,5,1,4,2]=>0000000 [3,4,5,1,2,8,7,6]=>[6,7,8,2,1,5,4,3]=>0000000 [1,8,4,5,3,2,7,6]=>[6,7,2,3,5,4,8,1]=>0000000 [2,4,8,5,3,1,7,6]=>[6,7,1,3,5,8,4,2]=>0000000 [3,4,5,2,8,1,7,6]=>[6,7,1,8,2,5,4,3]=>0000000 [3,4,6,2,1,7,8,5]=>[5,8,7,1,2,6,4,3]=>0000000 [3,4,6,2,1,7,5,8]=>[8,5,7,1,2,6,4,3]=>0000000 [3,5,6,2,7,1,8,4]=>[4,8,1,7,2,6,5,3]=>0000000 [3,4,6,2,8,7,1,5]=>[5,1,7,8,2,6,4,3]=>0000000 [3,4,6,8,2,7,1,5]=>[5,1,7,2,8,6,4,3]=>0000000 [2,4,8,6,3,7,1,5]=>[5,1,7,3,6,8,4,2]=>0000000 [1,8,4,6,3,7,2,5]=>[5,2,7,3,6,4,8,1]=>0000000 [1,8,4,6,3,7,5,2]=>[2,5,7,3,6,4,8,1]=>0000000 [3,4,6,8,2,7,5,1]=>[1,5,7,2,8,6,4,3]=>1000000 [3,4,6,2,8,7,5,1]=>[1,5,7,8,2,6,4,3]=>1000000 [3,5,6,2,7,8,4,1]=>[1,4,8,7,2,6,5,3]=>1000000 [3,5,6,2,7,4,1,8]=>[8,1,4,7,2,6,5,3]=>0000000 [4,5,6,7,2,8,3,1]=>[1,3,8,2,7,6,5,4]=>1000000 [2,5,8,6,7,3,4,1]=>[1,4,3,7,6,8,5,2]=>1000000 [1,8,5,6,7,3,2,4]=>[4,2,3,7,6,5,8,1]=>0000000 [4,5,6,7,2,1,8,3]=>[3,8,1,2,7,6,5,4]=>0000000 [3,4,6,1,8,7,2,5]=>[5,2,7,8,1,6,4,3]=>0000000 [2,4,1,6,8,7,3,5]=>[5,3,7,8,6,1,4,2]=>0000000 [2,5,1,6,7,8,4,3]=>[3,4,8,7,6,1,5,2]=>0000000 [2,5,1,6,7,4,3,8]=>[8,3,4,7,6,1,5,2]=>0000000 [3,5,6,1,7,4,2,8]=>[8,2,4,7,1,6,5,3]=>0000000 [3,5,6,1,7,4,8,2]=>[2,8,4,7,1,6,5,3]=>0000000 [3,4,6,1,8,7,5,2]=>[2,5,7,8,1,6,4,3]=>0000000 [2,4,8,6,1,7,5,3]=>[3,5,7,1,6,8,4,2]=>0000000 [1,8,4,6,2,7,5,3]=>[3,5,7,2,6,4,8,1]=>0000000 [1,8,5,6,7,2,4,3]=>[3,4,2,7,6,5,8,1]=>0000000 [2,5,8,6,7,1,4,3]=>[3,4,1,7,6,8,5,2]=>0000000 [4,5,6,7,1,3,8,2]=>[2,8,3,1,7,6,5,4]=>0000000 [3,5,6,8,7,4,1,2]=>[2,1,4,7,8,6,5,3]=>0100000 [2,5,8,6,7,4,1,3]=>[3,1,4,7,6,8,5,2]=>0000000 [1,8,5,6,7,4,2,3]=>[3,2,4,7,6,5,8,1]=>0000000 [1,8,5,6,7,4,3,2]=>[2,3,4,7,6,5,8,1]=>0000000 [2,5,8,6,7,4,3,1]=>[1,3,4,7,6,8,5,2]=>1000000 [8,2,4,3,7,1,6,5]=>[5,6,1,7,3,4,2,8]=>0000001 [5,8,2,4,3,7,1,6]=>[6,1,7,3,4,2,8,5]=>0000000 [4,2,5,6,1,8,3,7]=>[7,3,8,1,6,5,2,4]=>0000000 [4,2,5,6,1,7,3,8]=>[8,3,7,1,6,5,2,4]=>0000000 [6,1,5,7,3,2,4,8]=>[8,4,2,3,7,5,1,6]=>0000000 [6,1,5,8,3,2,4,7]=>[7,4,2,3,8,5,1,6]=>0000000 [3,8,2,4,7,1,5,6]=>[6,5,1,7,4,2,8,3]=>0000000 [3,6,8,2,4,7,1,5]=>[5,1,7,4,2,8,6,3]=>0000000 [7,3,2,4,6,1,5,8]=>[8,5,1,6,4,2,3,7]=>0000000 [3,2,5,1,8,4,6,7]=>[7,6,4,8,1,5,2,3]=>0000000 [7,8,3,2,4,6,1,5]=>[5,1,6,4,2,3,8,7]=>0000010 [6,1,5,7,8,3,2,4]=>[4,2,3,8,7,5,1,6]=>0000000 [4,2,5,6,1,7,8,3]=>[3,8,7,1,6,5,2,4]=>0000000 [5,7,6,1,8,3,4,2]=>[2,4,3,8,1,6,7,5]=>0000000 [5,8,6,1,7,3,4,2]=>[2,4,3,7,1,6,8,5]=>0000000 [6,1,5,8,7,3,2,4]=>[4,2,3,7,8,5,1,6]=>0000000 [8,7,3,2,4,6,1,5]=>[5,1,6,4,2,3,7,8]=>0000011 [3,2,5,1,8,7,4,6]=>[6,4,7,8,1,5,2,3]=>0000000 [3,2,5,1,6,4,7,8]=>[8,7,4,6,1,5,2,3]=>0000000 [3,2,4,1,8,7,5,6]=>[6,5,7,8,1,4,2,3]=>0000000 [3,2,5,1,6,8,7,4]=>[4,7,8,6,1,5,2,3]=>0000000 [3,8,6,5,1,7,4,2]=>[2,4,7,1,5,6,8,3]=>0000000 [3,7,6,5,1,8,4,2]=>[2,4,8,1,5,6,7,3]=>0000000 [6,5,1,7,8,4,2,3]=>[3,2,4,8,7,1,5,6]=>0000000 [3,2,5,1,6,7,8,4]=>[4,8,7,6,1,5,2,3]=>0000000 [3,2,4,1,7,5,6,8]=>[8,6,5,7,1,4,2,3]=>0000000 [3,2,4,1,6,8,5,7]=>[7,5,8,6,1,4,2,3]=>0000000 [8,3,2,4,7,6,1,5]=>[5,1,6,7,4,2,3,8]=>0000001 [3,2,5,1,8,4,7,6]=>[6,7,4,8,1,5,2,3]=>0000000 [3,2,5,1,6,7,4,8]=>[8,4,7,6,1,5,2,3]=>0000000 [6,5,1,7,4,2,3,8]=>[8,3,2,4,7,1,5,6]=>0000000 [6,5,1,8,4,2,3,7]=>[7,3,2,4,8,1,5,6]=>0000000 [8,4,2,3,7,5,1,6]=>[6,1,5,7,3,2,4,8]=>0000001 [5,2,6,1,8,3,7,4]=>[4,7,3,8,1,6,2,5]=>0000000 [5,2,6,1,8,4,7,3]=>[3,7,4,8,1,6,2,5]=>0000000 [7,4,2,3,8,5,1,6]=>[6,1,5,8,3,2,4,7]=>0000000 [8,5,1,6,4,2,3,7]=>[7,3,2,4,6,1,5,8]=>0000001 [3,2,5,1,7,6,4,8]=>[8,4,6,7,1,5,2,3]=>0000000 [3,2,5,1,8,6,4,7]=>[7,4,6,8,1,5,2,3]=>0000000 [8,6,1,5,7,3,2,4]=>[4,2,3,7,5,1,6,8]=>0000001 [8,5,6,1,7,3,4,2]=>[2,4,3,7,1,6,5,8]=>0000001 [3,6,8,5,1,7,4,2]=>[2,4,7,1,5,8,6,3]=>0000000 [8,5,1,6,7,4,2,3]=>[3,2,4,7,6,1,5,8]=>0000001 [3,2,5,1,8,6,7,4]=>[4,7,6,8,1,5,2,3]=>0000000 [3,2,4,1,5,8,6,7]=>[7,6,8,5,1,4,2,3]=>0000000 [3,2,5,1,7,8,6,4]=>[4,6,8,7,1,5,2,3]=>0000000 [8,7,5,1,6,4,2,3]=>[3,2,4,6,1,5,7,8]=>0000011 [3,2,5,1,8,7,6,4]=>[4,6,7,8,1,5,2,3]=>0000000 [4,6,3,7,1,8,5,2]=>[2,5,8,1,7,3,6,4]=>0000000 [4,6,3,7,5,1,8,2]=>[2,8,1,5,7,3,6,4]=>0000000 [4,2,6,1,7,5,3,8]=>[8,3,5,7,1,6,2,4]=>0000000 [4,3,7,5,1,8,6,2]=>[2,6,8,1,5,7,3,4]=>0000000 [6,4,3,8,5,1,7,2]=>[2,7,1,5,8,3,4,6]=>0000000 [2,5,4,6,1,7,3,8]=>[8,3,7,1,6,4,5,2]=>0000000 [4,6,2,1,8,5,7,3]=>[3,7,5,8,1,2,6,4]=>0000000 [2,4,1,7,5,8,6,3]=>[3,6,8,5,7,1,4,2]=>0000000 [2,4,1,7,5,3,8,6]=>[6,8,3,5,7,1,4,2]=>0000000 [2,6,4,1,8,5,3,7]=>[7,3,5,8,1,4,6,2]=>0000000 [5,4,8,2,1,6,3,7]=>[7,3,6,1,2,8,4,5]=>0000000 [4,8,3,2,6,1,5,7]=>[7,5,1,6,2,3,8,4]=>0000000 [3,2,7,1,5,4,8,6]=>[6,8,4,5,1,7,2,3]=>0000000 [4,3,2,6,7,8,1,5]=>[5,1,8,7,6,2,3,4]=>0000000 [4,3,7,8,2,6,1,5]=>[5,1,6,2,8,7,3,4]=>0000000 [3,2,5,7,1,6,8,4]=>[4,8,6,1,7,5,2,3]=>0000000 [6,3,2,7,1,5,4,8]=>[8,4,5,1,7,2,3,6]=>0000000 [6,3,2,7,8,1,5,4]=>[4,5,1,8,7,2,3,6]=>0000000 [6,5,2,1,7,8,4,3]=>[3,4,8,7,1,2,5,6]=>0000000 [6,2,1,8,5,3,7,4]=>[4,7,3,5,8,1,2,6]=>0000000 [6,3,2,1,4,7,8,5]=>[5,8,7,4,1,2,3,6]=>0000000 [6,3,2,1,4,7,5,8]=>[8,5,7,4,1,2,3,6]=>0000000 [4,6,2,1,8,3,7,5]=>[5,7,3,8,1,2,6,4]=>0000000 [3,5,8,2,1,7,4,6]=>[6,4,7,1,2,8,5,3]=>0000000 [4,8,3,7,2,1,5,6]=>[6,5,1,2,7,3,8,4]=>0000000 [4,3,7,2,8,1,5,6]=>[6,5,1,8,2,7,3,4]=>0000000 [4,8,3,2,7,1,5,6]=>[6,5,1,7,2,3,8,4]=>0000000 [3,2,1,4,7,5,8,6]=>[6,8,5,7,4,1,2,3]=>0000000 [4,8,3,2,1,5,6,7]=>[7,6,5,1,2,3,8,4]=>0000000 [4,3,8,2,1,5,6,7]=>[7,6,5,1,2,8,3,4]=>0000000 [6,2,3,1,5,4,8,7]=>[7,8,4,5,1,3,2,6]=>0000000 [8,4,5,2,3,1,7,6]=>[6,7,1,3,2,5,4,8]=>0000001 [8,2,5,3,4,1,7,6]=>[6,7,1,4,3,5,2,8]=>0000001 [6,2,5,3,4,1,8,7]=>[7,8,1,4,3,5,2,6]=>0000000 [6,4,5,1,3,2,8,7]=>[7,8,2,3,1,5,4,6]=>0000000 [6,1,5,3,4,2,8,7]=>[7,8,2,4,3,5,1,6]=>0000000 [8,3,7,2,4,1,6,5]=>[5,6,1,4,2,7,3,8]=>0000001 [8,3,5,1,4,2,7,6]=>[6,7,2,4,1,5,3,8]=>0000001 [8,4,5,1,3,2,7,6]=>[6,7,2,3,1,5,4,8]=>0000001 [2,1,8,4,5,3,7,6]=>[6,7,3,5,4,8,1,2]=>0000000 [8,1,7,3,4,2,6,5]=>[5,6,2,4,3,7,1,8]=>0000001 [8,2,7,1,4,3,6,5]=>[5,6,3,4,1,7,2,8]=>0000001 [8,2,7,3,4,1,6,5]=>[5,6,1,4,3,7,2,8]=>0000001 [8,4,7,2,3,1,6,5]=>[5,6,1,3,2,7,4,8]=>0000001 [8,2,3,1,5,4,7,6]=>[6,7,4,5,1,3,2,8]=>0000001 [4,2,3,1,8,5,7,6]=>[6,7,5,8,1,3,2,4]=>0000000 [8,2,3,1,7,5,6,4]=>[4,6,5,7,1,3,2,8]=>0000001 [8,6,7,1,3,2,5,4]=>[4,5,2,3,1,7,6,8]=>0000101 [8,1,3,2,7,5,6,4]=>[4,6,5,7,2,3,1,8]=>0000001 [2,1,8,5,7,3,6,4]=>[4,6,3,7,5,8,1,2]=>0000000 [4,5,8,6,3,2,7,1]=>[1,7,2,3,6,8,5,4]=>1000000 [1,5,8,7,3,6,2,4]=>[4,2,6,3,7,8,5,1]=>0000000 [1,7,2,8,4,6,5,3]=>[3,5,6,4,8,2,7,1]=>0000000 [6,7,2,8,4,1,5,3]=>[3,5,1,4,8,2,7,6]=>0000000 [3,6,2,8,4,5,7,1]=>[1,7,5,4,8,2,6,3]=>1000000 [2,6,1,8,4,5,7,3]=>[3,7,5,4,8,1,6,2]=>0000000 [2,8,4,6,1,5,7,3]=>[3,7,5,1,6,4,8,2]=>0000000 [6,3,1,8,4,5,7,2]=>[2,7,5,4,8,1,3,6]=>0000000 [2,3,6,8,4,5,7,1]=>[1,7,5,4,8,6,3,2]=>1000000 [6,3,7,8,4,1,5,2]=>[2,5,1,4,8,7,3,6]=>0000000 [1,3,7,8,4,6,5,2]=>[2,5,6,4,8,7,3,1]=>0000000 [3,6,7,8,4,2,5,1]=>[1,5,2,4,8,7,6,3]=>1000000 [7,6,1,8,4,2,5,3]=>[3,5,2,4,8,1,6,7]=>0000000 [2,8,3,7,1,6,5,4]=>[4,5,6,1,7,3,8,2]=>0000000 [5,2,8,7,3,6,1,4]=>[4,1,6,3,7,8,2,5]=>0000000 [7,2,1,8,4,6,5,3]=>[3,5,6,4,8,1,2,7]=>0000000 [3,2,7,8,4,6,5,1]=>[1,5,6,4,8,7,2,3]=>1000000 [5,2,7,8,1,4,6,3]=>[3,6,4,1,8,7,2,5]=>0000000 [1,2,7,8,5,4,6,3]=>[3,6,4,5,8,7,2,1]=>0000000 [7,2,5,8,3,4,6,1]=>[1,6,4,3,8,5,2,7]=>1000000 [6,2,8,5,4,3,1,7]=>[7,1,3,4,5,8,2,6]=>0000000 [2,8,3,5,4,1,6,7]=>[7,6,1,4,5,3,8,2]=>0000000 [2,8,4,5,3,1,6,7]=>[7,6,1,3,5,4,8,2]=>0000000 [7,3,5,8,2,4,6,1]=>[1,6,4,2,8,5,3,7]=>1000000 [4,3,1,2,8,5,6,7]=>[7,6,5,8,2,1,3,4]=>0000000 [2,7,6,8,4,3,5,1]=>[1,5,3,4,8,6,7,2]=>1000000 [1,7,5,8,3,4,6,2]=>[2,6,4,3,8,5,7,1]=>0000000 [4,6,8,5,1,3,2,7]=>[7,2,3,1,5,8,6,4]=>0000000 [2,4,8,3,6,5,1,7]=>[7,1,5,6,3,8,4,2]=>0000000 [4,1,8,3,5,6,2,7]=>[7,2,6,5,3,8,1,4]=>0000000 [5,6,8,4,1,3,2,7]=>[7,2,3,1,4,8,6,5]=>0000000 [4,6,8,1,5,3,2,7]=>[7,2,3,5,1,8,6,4]=>0000000 [1,6,8,4,5,3,2,7]=>[7,2,3,5,4,8,6,1]=>0000000 [1,7,3,8,5,4,6,2]=>[2,6,4,5,8,3,7,1]=>0000000 [3,7,1,8,5,4,6,2]=>[2,6,4,5,8,1,7,3]=>0000000 [2,7,3,8,4,6,5,1]=>[1,5,6,4,8,3,7,2]=>1000000 [2,8,7,4,1,6,5,3]=>[3,5,6,1,4,7,8,2]=>0000000 [2,8,5,4,3,1,6,7]=>[7,6,1,3,4,5,8,2]=>0000000 [1,4,3,2,8,5,6,7]=>[7,6,5,8,2,3,4,1]=>0000000 [7,3,2,8,5,4,6,1]=>[1,6,4,5,8,2,3,7]=>1000000 [6,4,8,2,5,3,1,7]=>[7,1,3,5,2,8,4,6]=>0000000 [2,8,4,3,5,1,6,7]=>[7,6,1,5,3,4,8,2]=>0000000 [6,2,8,4,5,3,1,7]=>[7,1,3,5,4,8,2,6]=>0000000 [7,2,3,8,5,4,6,1]=>[1,6,4,5,8,3,2,7]=>1000000 [4,2,3,1,8,5,6,7]=>[7,6,5,8,1,3,2,4]=>0000000 [5,1,3,2,4,8,6,7]=>[7,6,8,4,2,3,1,5]=>0000000 [2,8,1,5,3,4,7,6]=>[6,7,4,3,5,1,8,2]=>0000000 [1,4,2,8,5,3,6,7]=>[7,6,3,5,8,2,4,1]=>0000000 [3,5,1,4,8,2,6,7]=>[7,6,2,8,4,1,5,3]=>0000000 [1,5,2,8,4,3,6,7]=>[7,6,3,4,8,2,5,1]=>0000000 [1,2,5,4,3,8,6,7]=>[7,6,8,3,4,5,2,1]=>0000000 [1,2,4,8,5,3,7,6]=>[6,7,3,5,8,4,2,1]=>0000000 [1,5,2,7,8,4,3,6]=>[6,3,4,8,7,2,5,1]=>0000000 [5,1,2,7,4,8,3,6]=>[6,3,8,4,7,2,1,5]=>0000000 [8,3,5,1,4,7,2,6]=>[6,2,7,4,1,5,3,8]=>0000001 [1,2,8,5,7,4,3,6]=>[6,3,4,7,5,8,2,1]=>0000000 [1,2,4,8,7,5,3,6]=>[6,3,5,7,8,4,2,1]=>0000000 [2,8,1,4,3,7,6,5]=>[5,6,7,3,4,1,8,2]=>0000000 [7,6,1,4,2,8,3,5]=>[5,3,8,2,4,1,6,7]=>0000000 [7,1,6,2,8,4,3,5]=>[5,3,4,8,2,6,1,7]=>0000000 [1,4,2,7,8,5,3,6]=>[6,3,5,8,7,2,4,1]=>0000000 [6,1,2,8,4,3,7,5]=>[5,7,3,4,8,2,1,6]=>0000000 [6,4,1,2,8,3,7,5]=>[5,7,3,8,2,1,4,6]=>0000000 [7,6,1,3,2,4,8,5]=>[5,8,4,2,3,1,6,7]=>0000000 [6,7,1,3,2,4,8,5]=>[5,8,4,2,3,1,7,6]=>0000000 [1,2,7,3,5,8,4,6]=>[6,4,8,5,3,7,2,1]=>0000000 [5,8,1,3,7,2,4,6]=>[6,4,2,7,3,1,8,5]=>0000000 [1,2,5,8,7,3,4,6]=>[6,4,3,7,8,5,2,1]=>0000000 [8,6,1,3,2,4,7,5]=>[5,7,4,2,3,1,6,8]=>0000001 [4,2,8,1,7,3,6,5]=>[5,6,3,7,1,8,2,4]=>0000000 [7,1,2,8,4,3,6,5]=>[5,6,3,4,8,2,1,7]=>0000000 [1,2,8,4,7,5,3,6]=>[6,3,5,7,4,8,2,1]=>0000000 [1,2,8,7,4,5,3,6]=>[6,3,5,4,7,8,2,1]=>0000000 [2,8,1,7,5,3,4,6]=>[6,4,3,5,7,1,8,2]=>0000000 [8,3,7,1,5,2,4,6]=>[6,4,2,5,1,7,3,8]=>0000001 [8,6,1,4,2,7,3,5]=>[5,3,7,2,4,1,6,8]=>0000001 [7,1,2,8,6,4,3,5]=>[5,3,4,6,8,2,1,7]=>0000000 [3,7,4,8,1,6,2,5]=>[5,2,6,1,8,4,7,3]=>0000000 [3,4,8,7,1,6,2,5]=>[5,2,6,1,7,8,4,3]=>0000000 [4,2,8,1,7,6,3,5]=>[5,3,6,7,1,8,2,4]=>0000000 [2,8,1,7,6,4,3,5]=>[5,3,4,6,7,1,8,2]=>0000000 [6,8,3,4,1,7,2,5]=>[5,2,7,1,4,3,8,6]=>0000000 [5,7,3,4,1,8,2,6]=>[6,2,8,1,4,3,7,5]=>0000000 [5,8,3,4,1,7,2,6]=>[6,2,7,1,4,3,8,5]=>0000000 [4,8,3,5,1,7,2,6]=>[6,2,7,1,5,3,8,4]=>0000000 [5,6,2,3,1,7,4,8]=>[8,4,7,1,3,2,6,5]=>0000000 [5,6,2,4,1,8,3,7]=>[7,3,8,1,4,2,6,5]=>0000000 [5,6,2,4,1,7,3,8]=>[8,3,7,1,4,2,6,5]=>0000000 [4,5,1,8,3,7,2,6]=>[6,2,7,3,8,1,5,4]=>0000000 [4,6,2,7,3,8,1,5]=>[5,1,8,3,7,2,6,4]=>0000000 [5,6,2,7,3,8,1,4]=>[4,1,8,3,7,2,6,5]=>0000000 [5,6,2,8,4,7,1,3]=>[3,1,7,4,8,2,6,5]=>0000000 [4,6,2,8,3,7,1,5]=>[5,1,7,3,8,2,6,4]=>0000000 [4,5,1,8,3,6,2,7]=>[7,2,6,3,8,1,5,4]=>0000000 [6,5,3,2,1,4,8,7]=>[7,8,4,1,2,3,5,6]=>0000000 [8,7,3,5,2,4,1,6]=>[6,1,4,2,5,3,7,8]=>0000011 [6,8,2,4,5,7,3,1]=>[1,3,7,5,4,2,8,6]=>1000000 [3,6,1,4,5,2,8,7]=>[7,8,2,5,4,1,6,3]=>0000000 [8,3,7,4,5,2,1,6]=>[6,1,2,5,4,7,3,8]=>0000001 [6,3,8,4,5,7,2,1]=>[1,2,7,5,4,8,3,6]=>1100000 [8,1,7,4,3,6,2,5]=>[5,2,6,3,4,7,1,8]=>0000001 [8,7,3,5,1,4,2,6]=>[6,2,4,1,5,3,7,8]=>0000011 [2,1,6,8,5,7,4,3]=>[3,4,7,5,8,6,1,2]=>0000000 [6,8,3,5,1,7,4,2]=>[2,4,7,1,5,3,8,6]=>0000000 [2,5,8,4,7,6,3,1]=>[1,3,6,7,4,8,5,2]=>1000000 [4,3,8,1,5,6,7,2]=>[2,7,6,5,1,8,3,4]=>0000000 [4,8,3,6,1,2,7,5]=>[5,7,2,1,6,3,8,4]=>0000000 [3,8,7,4,1,6,2,5]=>[5,2,6,1,4,7,8,3]=>0000000 [3,8,1,2,5,6,7,4]=>[4,7,6,5,2,1,8,3]=>0000000 [2,8,7,4,5,1,3,6]=>[6,3,1,5,4,7,8,2]=>0000000 [8,7,2,4,1,6,3,5]=>[5,3,6,1,4,2,7,8]=>0000011 [5,8,3,6,2,4,7,1]=>[1,7,4,2,6,3,8,5]=>1000000 [8,6,3,2,1,4,7,5]=>[5,7,4,1,2,3,6,8]=>0000001 [8,7,3,5,2,1,4,6]=>[6,4,1,2,5,3,7,8]=>0000011 [5,8,3,6,2,1,7,4]=>[4,7,1,2,6,3,8,5]=>0000000 [6,1,8,4,5,7,2,3]=>[3,2,7,5,4,8,1,6]=>0000000 [6,8,3,5,1,7,2,4]=>[4,2,7,1,5,3,8,6]=>0000000 [5,8,3,6,1,2,7,4]=>[4,7,2,1,6,3,8,5]=>0000000 [5,8,1,4,7,6,2,3]=>[3,2,6,7,4,1,8,5]=>0000000 [4,5,3,8,6,1,7,2]=>[2,7,1,6,8,3,5,4]=>0000000 [4,5,7,6,2,3,8,1]=>[1,8,3,2,6,7,5,4]=>1000000 [5,2,7,3,6,4,8,1]=>[1,8,4,6,3,7,2,5]=>1000000 [5,1,7,3,6,8,4,2]=>[2,4,8,6,3,7,1,5]=>0000000 [6,7,1,2,8,5,4,3]=>[3,4,5,8,2,1,7,6]=>0000000 [3,5,7,1,6,8,4,2]=>[2,4,8,6,1,7,5,3]=>0000000 [6,7,4,5,8,1,3,2]=>[2,3,1,8,5,4,7,6]=>0010000 [4,2,8,7,1,6,5,3]=>[3,5,6,1,7,8,2,4]=>0000000 [1,3,8,2,7,6,5,4]=>[4,5,6,7,2,8,3,1]=>0000000 [2,1,8,3,7,6,5,4]=>[4,5,6,7,3,8,1,2]=>0000000 [6,7,1,8,2,5,4,3]=>[3,4,5,2,8,1,7,6]=>0000000 [3,8,1,2,7,6,5,4]=>[4,5,6,7,2,1,8,3]=>0000000 [1,8,2,3,7,6,5,4]=>[4,5,6,7,3,2,8,1]=>0000000 [3,7,1,5,8,2,6,4]=>[4,6,2,8,5,1,7,3]=>0000000 [2,6,5,1,8,3,7,4]=>[4,7,3,8,1,5,6,2]=>0000000 [5,6,4,1,8,7,2,3]=>[3,2,7,8,1,4,6,5]=>0000000 [8,1,4,5,7,6,2,3]=>[3,2,6,7,5,4,1,8]=>0000001 [6,4,5,1,8,7,2,3]=>[3,2,7,8,1,5,4,6]=>0000000 [5,4,6,1,8,7,2,3]=>[3,2,7,8,1,6,4,5]=>0000000 [3,5,6,1,8,2,7,4]=>[4,7,2,8,1,6,5,3]=>0000000 [2,5,6,1,8,3,7,4]=>[4,7,3,8,1,6,5,2]=>0000000 [2,4,6,1,3,8,7,5]=>[5,7,8,3,1,6,4,2]=>0000000 [3,4,6,1,2,8,7,5]=>[5,7,8,2,1,6,4,3]=>0000000 [5,3,6,1,8,2,7,4]=>[4,7,2,8,1,6,3,5]=>0000000 [7,3,1,5,8,2,6,4]=>[4,6,2,8,5,1,3,7]=>0000000 [8,1,3,5,7,2,6,4]=>[4,6,2,7,5,3,1,8]=>0000001 [8,1,2,5,7,3,6,4]=>[4,6,3,7,5,2,1,8]=>0000001 [7,2,1,5,8,3,6,4]=>[4,6,3,8,5,1,2,7]=>0000000 [6,2,5,1,8,3,7,4]=>[4,7,3,8,1,5,2,6]=>0000000 [4,2,6,1,3,8,7,5]=>[5,7,8,3,1,6,2,4]=>0000000 [4,2,5,3,1,8,7,6]=>[6,7,8,1,3,5,2,4]=>0000000 [6,2,4,1,3,8,7,5]=>[5,7,8,3,1,4,2,6]=>0000000 [7,2,1,4,3,8,6,5]=>[5,6,8,3,4,1,2,7]=>0000000 [8,1,2,4,3,7,6,5]=>[5,6,7,3,4,2,1,8]=>0000001 [8,1,3,4,2,7,6,5]=>[5,6,7,2,4,3,1,8]=>0000001 [4,6,3,1,2,8,7,5]=>[5,7,8,2,1,3,6,4]=>0000000 [2,6,4,1,3,8,7,5]=>[5,7,8,3,1,4,6,2]=>0000000 [2,7,1,4,3,8,6,5]=>[5,6,8,3,4,1,7,2]=>0000000 [8,1,6,7,2,3,5,4]=>[4,5,3,2,7,6,1,8]=>0000001 [4,7,1,2,3,8,6,5]=>[5,6,8,3,2,1,7,4]=>0000000 [3,7,1,2,4,8,6,5]=>[5,6,8,4,2,1,7,3]=>0000000 [2,6,3,1,4,8,7,5]=>[5,7,8,4,1,3,6,2]=>0000000 [3,6,2,1,4,8,7,5]=>[5,7,8,4,1,2,6,3]=>0000000 [5,6,2,1,8,3,7,4]=>[4,7,3,8,1,2,6,5]=>0000000 [6,5,2,1,8,3,7,4]=>[4,7,3,8,1,2,5,6]=>0000000 [8,1,4,2,3,7,6,5]=>[5,6,7,3,2,4,1,8]=>0000001 [5,4,2,3,1,8,7,6]=>[6,7,8,1,3,2,4,5]=>0000000 [3,5,2,4,1,8,7,6]=>[6,7,8,1,4,2,5,3]=>0000000 [7,3,1,2,4,8,6,5]=>[5,6,8,4,2,1,3,7]=>0000000 [8,1,3,2,4,7,6,5]=>[5,6,7,4,2,3,1,8]=>0000001 [7,2,1,3,4,8,6,5]=>[5,6,8,4,3,1,2,7]=>0000000 [2,4,3,6,5,8,1,7]=>[7,1,8,5,6,3,4,2]=>0000000 [2,4,6,3,5,8,7,1]=>[1,7,8,5,3,6,4,2]=>1000000 [2,4,1,6,5,3,8,7]=>[7,8,3,5,6,1,4,2]=>0000000 [4,2,6,5,8,1,7,3]=>[3,7,1,8,5,6,2,4]=>0000000 [4,2,6,5,8,1,3,7]=>[7,3,1,8,5,6,2,4]=>0000000 [2,4,1,6,5,8,7,3]=>[3,7,8,5,6,1,4,2]=>0000000 [2,4,6,8,1,5,7,3]=>[3,7,5,1,8,6,4,2]=>0000000 [2,4,6,1,8,5,3,7]=>[7,3,5,8,1,6,4,2]=>0000000 [2,4,6,8,1,5,3,7]=>[7,3,5,1,8,6,4,2]=>0000000 [2,4,6,8,3,5,7,1]=>[1,7,5,3,8,6,4,2]=>1000000 [2,4,6,8,3,1,5,7]=>[7,5,1,3,8,6,4,2]=>0000000 [2,4,6,3,8,5,7,1]=>[1,7,5,8,3,6,4,2]=>1000000 [2,4,3,6,8,5,7,1]=>[1,7,5,8,6,3,4,2]=>1000000 [2,4,3,6,8,5,1,7]=>[7,1,5,8,6,3,4,2]=>0000000 [2,4,3,6,8,1,5,7]=>[7,5,1,8,6,3,4,2]=>0000000 [2,4,3,6,1,8,5,7]=>[7,5,8,1,6,3,4,2]=>0000000 [2,4,3,1,6,8,5,7]=>[7,5,8,6,1,3,4,2]=>0000000 [2,4,1,3,6,8,7,5]=>[5,7,8,6,3,1,4,2]=>0000000 [2,4,3,6,8,1,7,5]=>[5,7,1,8,6,3,4,2]=>0000000 [4,6,2,5,8,7,3,1]=>[1,3,7,8,5,2,6,4]=>1000000 [2,4,1,6,8,3,7,5]=>[5,7,3,8,6,1,4,2]=>0000000 [2,4,6,8,1,3,7,5]=>[5,7,3,1,8,6,4,2]=>0000000 [4,6,2,8,5,7,3,1]=>[1,3,7,5,8,2,6,4]=>1000000 [4,6,2,8,5,7,1,3]=>[3,1,7,5,8,2,6,4]=>0000000 [2,6,4,8,1,7,5,3]=>[3,5,7,1,8,4,6,2]=>0000000 [1,3,7,4,5,8,2,6]=>[6,2,8,5,4,7,3,1]=>0000000 [1,7,6,3,4,8,2,5]=>[5,2,8,4,3,6,7,1]=>0000000 [8,1,6,3,7,2,4,5]=>[5,4,2,7,3,6,1,8]=>0000001 [1,2,7,4,8,3,5,6]=>[6,5,3,8,4,7,2,1]=>0000000 [6,1,7,3,4,8,2,5]=>[5,2,8,4,3,7,1,6]=>0000000 [2,1,7,4,5,8,3,6]=>[6,3,8,5,4,7,1,2]=>0000000 [5,1,4,7,3,8,2,6]=>[6,2,8,3,7,4,1,5]=>0000000 [4,3,1,7,5,8,2,6]=>[6,2,8,5,7,1,3,4]=>0000000 [2,8,6,3,7,1,4,5]=>[5,4,1,7,3,6,8,2]=>0000000 [6,8,1,3,7,2,4,5]=>[5,4,2,7,3,1,8,6]=>0000000 [5,8,2,1,7,3,4,6]=>[6,4,3,7,1,2,8,5]=>0000000 [5,7,2,1,8,3,4,6]=>[6,4,3,8,1,2,7,5]=>0000000 [6,7,1,3,8,2,4,5]=>[5,4,2,8,3,1,7,6]=>0000000 [8,5,1,3,7,2,4,6]=>[6,4,2,7,3,1,5,8]=>0000001 [1,5,3,2,8,4,6,7]=>[7,6,4,8,2,3,5,1]=>0000000 [2,6,4,8,7,1,3,5]=>[5,3,1,7,8,4,6,2]=>0000000 [1,6,4,8,7,2,3,5]=>[5,3,2,7,8,4,6,1]=>0000000 [4,3,2,8,7,1,5,6]=>[6,5,1,7,8,2,3,4]=>0000000 [5,2,4,8,7,1,3,6]=>[6,3,1,7,8,4,2,5]=>0000000 [6,2,8,3,7,1,4,5]=>[5,4,1,7,3,8,2,6]=>0000000 [5,1,4,8,7,2,3,6]=>[6,3,2,7,8,4,1,5]=>0000000 [8,4,2,5,1,6,3,7]=>[7,3,6,1,5,2,4,8]=>0000001 [3,2,8,1,6,4,7,5]=>[5,7,4,6,1,8,2,3]=>0000000 [4,2,8,6,1,3,7,5]=>[5,7,3,1,6,8,2,4]=>0000000 [4,2,6,8,1,3,7,5]=>[5,7,3,1,8,6,2,4]=>0000000 [4,7,3,8,5,1,2,6]=>[6,2,1,5,8,3,7,4]=>0000000 [3,1,8,5,4,2,6,7]=>[7,6,2,4,5,8,1,3]=>0000000 [1,8,2,5,7,3,6,4]=>[4,6,3,7,5,2,8,1]=>0000000 [6,2,1,5,4,8,7,3]=>[3,7,8,4,5,1,2,6]=>0000000 [4,3,6,1,8,2,7,5]=>[5,7,2,8,1,6,3,4]=>0000000 [6,1,2,5,7,3,8,4]=>[4,8,3,7,5,2,1,6]=>0000000 [1,3,6,8,5,7,2,4]=>[4,2,7,5,8,6,3,1]=>0000000 [4,1,6,7,3,8,2,5]=>[5,2,8,3,7,6,1,4]=>0000000 [5,4,6,1,3,7,2,8]=>[8,2,7,3,1,6,4,5]=>0000000 [2,8,3,5,4,1,7,6]=>[6,7,1,4,5,3,8,2]=>0000000 [5,1,8,7,4,3,2,6]=>[6,2,3,4,7,8,1,5]=>0000000 [6,5,1,8,4,3,2,7]=>[7,2,3,4,8,1,5,6]=>0000000 [6,1,2,5,4,7,8,3]=>[3,8,7,4,5,2,1,6]=>0000000 [6,2,4,5,1,3,7,8]=>[8,7,3,1,5,4,2,6]=>0000000 [4,3,6,8,1,7,2,5]=>[5,2,7,1,8,6,3,4]=>0000000 [5,3,6,4,1,7,2,8]=>[8,2,7,1,4,6,3,5]=>0000000 [4,6,7,2,5,8,1,3]=>[3,1,8,5,2,7,6,4]=>0000000 [6,3,7,2,5,1,8,4]=>[4,8,1,5,2,7,3,6]=>0000000 [6,7,8,3,5,2,1,4]=>[4,1,2,5,3,8,7,6]=>0000100 [2,1,5,7,8,6,3,4]=>[4,3,6,8,7,5,1,2]=>0000000 [3,2,6,1,7,4,5,8]=>[8,5,4,7,1,6,2,3]=>0000000 [8,3,5,2,1,4,7,6]=>[6,7,4,1,2,5,3,8]=>0000001 [2,7,6,5,1,8,3,4]=>[4,3,8,1,5,6,7,2]=>0000000 [2,7,6,5,1,8,4,3]=>[3,4,8,1,5,6,7,2]=>0000000 [2,3,6,5,1,4,8,7]=>[7,8,4,1,5,6,3,2]=>0000000 [2,3,6,4,1,5,8,7]=>[7,8,5,1,4,6,3,2]=>0000000 [2,7,6,1,4,8,5,3]=>[3,5,8,4,1,6,7,2]=>0000000 [7,3,5,1,8,4,2,6]=>[6,2,4,8,1,5,3,7]=>0000000 [2,7,6,1,5,8,4,3]=>[3,4,8,5,1,6,7,2]=>0000000 [2,7,6,4,1,8,5,3]=>[3,5,8,1,4,6,7,2]=>0000000 [2,7,6,4,1,8,3,5]=>[5,3,8,1,4,6,7,2]=>0000000 [7,3,5,1,8,6,2,4]=>[4,2,6,8,1,5,3,7]=>0000000 [2,3,4,8,7,6,1,5]=>[5,1,6,7,8,4,3,2]=>0000000 [2,3,4,8,5,7,1,6]=>[6,1,7,5,8,4,3,2]=>0000000 [7,3,5,4,8,1,2,6]=>[6,2,1,8,4,5,3,7]=>0000000 [6,4,3,5,8,7,2,1]=>[1,2,7,8,5,3,4,6]=>1100000 [2,1,4,5,8,7,3,6]=>[6,3,7,8,5,4,1,2]=>0000000 [6,4,3,5,8,7,1,2]=>[2,1,7,8,5,3,4,6]=>0100000 [2,3,4,8,7,5,1,6]=>[6,1,5,7,8,4,3,2]=>0000000 [2,7,6,5,4,8,1,3]=>[3,1,8,4,5,6,7,2]=>0000000 [7,3,5,6,8,1,2,4]=>[4,2,1,8,6,5,3,7]=>0000000 [6,4,1,5,8,7,2,3]=>[3,2,7,8,5,1,4,6]=>0000000 [6,4,1,5,8,7,3,2]=>[2,3,7,8,5,1,4,6]=>0000000 [6,4,1,5,8,3,7,2]=>[2,7,3,8,5,1,4,6]=>0000000 [5,7,1,6,3,8,2,4]=>[4,2,8,3,6,1,7,5]=>0000000 [6,4,1,5,8,3,2,7]=>[7,2,3,8,5,1,4,6]=>0000000 [6,3,5,7,8,2,1,4]=>[4,1,2,8,7,5,3,6]=>0000000 [5,7,3,6,1,8,4,2]=>[2,4,8,1,6,3,7,5]=>0000000 [7,3,5,4,8,6,2,1]=>[1,2,6,8,4,5,3,7]=>1100000 [2,3,4,8,5,6,1,7]=>[7,1,6,5,8,4,3,2]=>0000000 [2,3,4,8,7,1,6,5]=>[5,6,1,7,8,4,3,2]=>0000000 [2,3,4,8,5,1,7,6]=>[6,7,1,5,8,4,3,2]=>0000000 [7,4,3,5,8,2,1,6]=>[6,1,2,8,5,3,4,7]=>0000000 [7,4,3,5,8,2,6,1]=>[1,6,2,8,5,3,4,7]=>1000000 [6,3,5,4,8,2,1,7]=>[7,1,2,8,4,5,3,6]=>0000000 [2,3,4,8,5,1,6,7]=>[7,6,1,5,8,4,3,2]=>0000000 [6,1,4,2,8,5,7,3]=>[3,7,5,8,2,4,1,6]=>0000000 [4,8,6,5,3,2,7,1]=>[1,7,2,3,5,6,8,4]=>1000000 [8,6,5,1,2,4,7,3]=>[3,7,4,2,1,5,6,8]=>0000001 [1,7,5,8,2,6,4,3]=>[3,4,6,2,8,5,7,1]=>0000000 [1,3,8,5,7,6,2,4]=>[4,2,6,7,5,8,3,1]=>0000000 [6,3,8,5,7,1,2,4]=>[4,2,1,7,5,8,3,6]=>0000000 [6,8,5,2,1,4,7,3]=>[3,7,4,1,2,5,8,6]=>0000000 [3,8,2,5,6,1,7,4]=>[4,7,1,6,5,2,8,3]=>0000000 [8,1,2,5,6,3,7,4]=>[4,7,3,6,5,2,1,8]=>0000001 [8,6,1,5,7,2,3,4]=>[4,3,2,7,5,1,6,8]=>0000001 [3,8,6,5,7,1,2,4]=>[4,2,1,7,5,6,8,3]=>0000000 [5,1,7,6,8,4,2,3]=>[3,2,4,8,6,7,1,5]=>0000000 [5,1,3,7,8,6,2,4]=>[4,2,6,8,7,3,1,5]=>0000000 [7,2,5,8,1,6,4,3]=>[3,4,6,1,8,5,2,7]=>0000000 [3,2,8,5,7,6,1,4]=>[4,1,6,7,5,8,2,3]=>0000000 [8,2,1,5,7,6,3,4]=>[4,3,6,7,5,1,2,8]=>0000001 [5,2,8,6,1,7,3,4]=>[4,3,7,1,6,8,2,5]=>0000000 [1,2,8,6,5,7,3,4]=>[4,3,7,5,6,8,2,1]=>0000000 [8,2,5,6,3,7,1,4]=>[4,1,7,3,6,5,2,8]=>0000001 [7,2,6,5,4,1,8,3]=>[3,8,1,4,5,6,2,7]=>0000000 [6,1,3,5,4,7,8,2]=>[2,8,7,4,5,3,1,6]=>0000000 [6,1,5,3,4,7,8,2]=>[2,8,7,4,3,5,1,6]=>0000000 [7,5,6,2,4,1,8,3]=>[3,8,1,4,2,6,5,7]=>0000000 [8,5,2,6,3,7,1,4]=>[4,1,7,3,6,2,5,8]=>0000001 [8,1,6,5,7,3,2,4]=>[4,2,3,7,5,6,1,8]=>0000001 [3,5,8,6,2,7,1,4]=>[4,1,7,2,6,8,5,3]=>0000000 [1,8,5,6,3,7,2,4]=>[4,2,7,3,6,5,8,1]=>0000000 [1,7,6,5,4,2,8,3]=>[3,8,2,4,5,6,7,1]=>0000000 [5,7,6,1,4,2,8,3]=>[3,8,2,4,1,6,7,5]=>0000000 [7,1,4,2,6,5,8,3]=>[3,8,5,6,2,4,1,7]=>0000000 [2,7,4,1,5,6,8,3]=>[3,8,6,5,1,4,7,2]=>0000000 [5,7,6,4,1,2,8,3]=>[3,8,2,1,4,6,7,5]=>0000000 [4,7,6,1,5,2,8,3]=>[3,8,2,5,1,6,7,4]=>0000000 [1,7,6,4,5,2,8,3]=>[3,8,2,5,4,6,7,1]=>0000000 [3,8,1,6,5,7,2,4]=>[4,2,7,5,6,1,8,3]=>0000000 [8,1,3,5,7,6,2,4]=>[4,2,6,7,5,3,1,8]=>0000001 [7,8,5,4,1,6,2,3]=>[3,2,6,1,4,5,8,7]=>0000010 [6,1,5,4,3,7,8,2]=>[2,8,7,3,4,5,1,6]=>0000000 [7,5,6,4,2,1,8,3]=>[3,8,1,2,4,6,5,7]=>0000000 [8,3,2,6,5,7,1,4]=>[4,1,7,5,6,2,3,8]=>0000001 [7,4,6,2,5,1,8,3]=>[3,8,1,5,2,6,4,7]=>0000000 [6,1,4,3,5,7,8,2]=>[2,8,7,5,3,4,1,6]=>0000000 [6,1,3,4,5,7,8,2]=>[2,8,7,5,4,3,1,6]=>0000000 [7,2,6,4,5,1,8,3]=>[3,8,1,5,4,6,2,7]=>0000000 [8,2,3,6,5,7,1,4]=>[4,1,7,5,6,3,2,8]=>0000001 [2,1,4,3,6,5,8,7,11,12,10,9]=>[9,10,12,11,7,8,5,6,3,4,1,2]=>00000000000 [2,1,4,3,6,5,9,10,8,7,12,11]=>[11,12,7,8,10,9,5,6,3,4,1,2]=>00000000000 [2,1,4,3,6,5,9,11,8,12,10,7]=>[7,10,12,8,11,9,5,6,3,4,1,2]=>00000000000 [2,1,4,3,6,5,10,11,12,9,8,7]=>[7,8,9,12,11,10,5,6,3,4,1,2]=>00000000000 [2,1,4,3,7,8,6,5,10,9,12,11]=>[11,12,9,10,5,6,8,7,3,4,1,2]=>00000000000 [2,1,4,3,7,8,6,5,11,12,10,9]=>[9,10,12,11,5,6,8,7,3,4,1,2]=>00000000000 [2,1,4,3,7,9,6,10,8,5,12,11]=>[11,12,5,8,10,6,9,7,3,4,1,2]=>00000000000 [2,1,4,3,7,9,6,11,8,12,10,5]=>[5,10,12,8,11,6,9,7,3,4,1,2]=>00000000000 [2,1,4,3,7,10,6,11,12,9,8,5]=>[5,8,9,12,11,6,10,7,3,4,1,2]=>00000000000 [2,1,4,3,8,9,10,7,6,5,12,11]=>[11,12,5,6,7,10,9,8,3,4,1,2]=>00000000000 [2,1,4,3,8,9,11,7,6,12,10,5]=>[5,10,12,6,7,11,9,8,3,4,1,2]=>00000000000 [2,1,4,3,8,10,11,7,12,9,6,5]=>[5,6,9,12,7,11,10,8,3,4,1,2]=>00000000000 [2,1,4,3,9,10,11,12,8,7,6,5]=>[5,6,7,8,12,11,10,9,3,4,1,2]=>00000000000 [2,1,5,6,4,3,8,7,10,9,12,11]=>[11,12,9,10,7,8,3,4,6,5,1,2]=>00000000000 [2,1,5,6,4,3,8,7,11,12,10,9]=>[9,10,12,11,7,8,3,4,6,5,1,2]=>00000000000 [2,1,5,6,4,3,9,10,8,7,12,11]=>[11,12,7,8,10,9,3,4,6,5,1,2]=>00000000000 [2,1,5,6,4,3,9,11,8,12,10,7]=>[7,10,12,8,11,9,3,4,6,5,1,2]=>00000000000 [2,1,5,6,4,3,10,11,12,9,8,7]=>[7,8,9,12,11,10,3,4,6,5,1,2]=>00000000000 [2,1,5,7,4,8,6,3,10,9,12,11]=>[11,12,9,10,3,6,8,4,7,5,1,2]=>00000000000 [2,1,5,7,4,8,6,3,11,12,10,9]=>[9,10,12,11,3,6,8,4,7,5,1,2]=>00000000000 [2,1,5,7,4,9,6,10,8,3,12,11]=>[11,12,3,8,10,6,9,4,7,5,1,2]=>00000000000 [2,1,5,7,4,9,6,11,8,12,10,3]=>[3,10,12,8,11,6,9,4,7,5,1,2]=>00000000000 [2,1,5,7,4,10,6,11,12,9,8,3]=>[3,8,9,12,11,6,10,4,7,5,1,2]=>00000000000 [2,1,5,8,4,9,10,7,6,3,12,11]=>[11,12,3,6,7,10,9,4,8,5,1,2]=>00000000000 [2,1,5,8,4,9,11,7,6,12,10,3]=>[3,10,12,6,7,11,9,4,8,5,1,2]=>00000000000 [2,1,5,8,4,10,11,7,12,9,6,3]=>[3,6,9,12,7,11,10,4,8,5,1,2]=>00000000000 [2,1,5,9,4,10,11,12,8,7,6,3]=>[3,6,7,8,12,11,10,4,9,5,1,2]=>00000000000 [2,1,6,7,8,5,4,3,10,9,12,11]=>[11,12,9,10,3,4,5,8,7,6,1,2]=>00000000000 [2,1,6,7,8,5,4,3,11,12,10,9]=>[9,10,12,11,3,4,5,8,7,6,1,2]=>00000000000 [2,1,6,7,9,5,4,10,8,3,12,11]=>[11,12,3,8,10,4,5,9,7,6,1,2]=>00000000000 [2,1,6,7,9,5,4,11,8,12,10,3]=>[3,10,12,8,11,4,5,9,7,6,1,2]=>00000000000 [2,1,6,7,10,5,4,11,12,9,8,3]=>[3,8,9,12,11,4,5,10,7,6,1,2]=>00000000000 [2,1,6,8,9,5,10,7,4,3,12,11]=>[11,12,3,4,7,10,5,9,8,6,1,2]=>00000000000 [2,1,6,8,9,5,11,7,4,12,10,3]=>[3,10,12,4,7,11,5,9,8,6,1,2]=>00000000000 [2,1,6,8,10,5,11,7,12,9,4,3]=>[3,4,9,12,7,11,5,10,8,6,1,2]=>00000000000 [2,1,6,9,10,5,11,12,8,7,4,3]=>[3,4,7,8,12,11,5,10,9,6,1,2]=>00000000000 [2,1,7,8,9,10,6,5,4,3,12,11]=>[11,12,3,4,5,6,10,9,8,7,1,2]=>00000000000 [2,1,7,8,9,11,6,5,4,12,10,3]=>[3,10,12,4,5,6,11,9,8,7,1,2]=>00000000000 [2,1,7,8,10,11,6,5,12,9,4,3]=>[3,4,9,12,5,6,11,10,8,7,1,2]=>00000000000 [2,1,7,9,10,11,6,12,8,5,4,3]=>[3,4,5,8,12,6,11,10,9,7,1,2]=>00000000000 [2,1,8,9,10,11,12,7,6,5,4,3]=>[3,4,5,6,7,12,11,10,9,8,1,2]=>00000000000 [3,4,2,1,6,5,8,7,10,9,12,11]=>[11,12,9,10,7,8,5,6,1,2,4,3]=>00000000000 [3,4,2,1,6,5,8,7,11,12,10,9]=>[9,10,12,11,7,8,5,6,1,2,4,3]=>00000000000 [3,4,2,1,6,5,9,10,8,7,12,11]=>[11,12,7,8,10,9,5,6,1,2,4,3]=>00000000000 [3,4,2,1,6,5,9,11,8,12,10,7]=>[7,10,12,8,11,9,5,6,1,2,4,3]=>00000000000 [3,4,2,1,6,5,10,11,12,9,8,7]=>[7,8,9,12,11,10,5,6,1,2,4,3]=>00000000000 [3,4,2,1,7,8,6,5,10,9,12,11]=>[11,12,9,10,5,6,8,7,1,2,4,3]=>00000000000 [3,4,2,1,7,8,6,5,11,12,10,9]=>[9,10,12,11,5,6,8,7,1,2,4,3]=>00000000000 [3,4,2,1,7,9,6,10,8,5,12,11]=>[11,12,5,8,10,6,9,7,1,2,4,3]=>00000000000 [3,4,2,1,7,9,6,11,8,12,10,5]=>[5,10,12,8,11,6,9,7,1,2,4,3]=>00000000000 [3,4,2,1,7,10,6,11,12,9,8,5]=>[5,8,9,12,11,6,10,7,1,2,4,3]=>00000000000 [3,4,2,1,8,9,10,7,6,5,12,11]=>[11,12,5,6,7,10,9,8,1,2,4,3]=>00000000000 [3,4,2,1,8,9,11,7,6,12,10,5]=>[5,10,12,6,7,11,9,8,1,2,4,3]=>00000000000 [3,4,2,1,8,10,11,7,12,9,6,5]=>[5,6,9,12,7,11,10,8,1,2,4,3]=>00000000000 [3,4,2,1,9,10,11,12,8,7,6,5]=>[5,6,7,8,12,11,10,9,1,2,4,3]=>00000000000 [3,5,2,6,4,1,8,7,10,9,12,11]=>[11,12,9,10,7,8,1,4,6,2,5,3]=>00000000000 [3,5,2,6,4,1,8,7,11,12,10,9]=>[9,10,12,11,7,8,1,4,6,2,5,3]=>00000000000 [3,5,2,6,4,1,9,10,8,7,12,11]=>[11,12,7,8,10,9,1,4,6,2,5,3]=>00000000000 [3,5,2,6,4,1,9,11,8,12,10,7]=>[7,10,12,8,11,9,1,4,6,2,5,3]=>00000000000 [3,5,2,6,4,1,10,11,12,9,8,7]=>[7,8,9,12,11,10,1,4,6,2,5,3]=>00000000000 [3,5,2,7,4,8,6,1,10,9,12,11]=>[11,12,9,10,1,6,8,4,7,2,5,3]=>00000000000 [3,5,2,7,4,8,6,1,11,12,10,9]=>[9,10,12,11,1,6,8,4,7,2,5,3]=>00000000000 [3,5,2,7,4,9,6,10,8,1,12,11]=>[11,12,1,8,10,6,9,4,7,2,5,3]=>00000000000 [3,5,2,7,4,9,6,11,8,12,10,1]=>[1,10,12,8,11,6,9,4,7,2,5,3]=>10000000000 [3,5,2,7,4,10,6,11,12,9,8,1]=>[1,8,9,12,11,6,10,4,7,2,5,3]=>10000000000 [3,5,2,8,4,9,10,7,6,1,12,11]=>[11,12,1,6,7,10,9,4,8,2,5,3]=>00000000000 [3,5,2,8,4,9,11,7,6,12,10,1]=>[1,10,12,6,7,11,9,4,8,2,5,3]=>10000000000 [3,5,2,8,4,10,11,7,12,9,6,1]=>[1,6,9,12,7,11,10,4,8,2,5,3]=>10000000000 [3,5,2,9,4,10,11,12,8,7,6,1]=>[1,6,7,8,12,11,10,4,9,2,5,3]=>10000000000 [3,6,2,7,8,5,4,1,10,9,12,11]=>[11,12,9,10,1,4,5,8,7,2,6,3]=>00000000000 [3,6,2,7,8,5,4,1,11,12,10,9]=>[9,10,12,11,1,4,5,8,7,2,6,3]=>00000000000 [3,6,2,7,9,5,4,10,8,1,12,11]=>[11,12,1,8,10,4,5,9,7,2,6,3]=>00000000000 [3,6,2,7,9,5,4,11,8,12,10,1]=>[1,10,12,8,11,4,5,9,7,2,6,3]=>10000000000 [3,6,2,7,10,5,4,11,12,9,8,1]=>[1,8,9,12,11,4,5,10,7,2,6,3]=>10000000000 [3,6,2,8,9,5,10,7,4,1,12,11]=>[11,12,1,4,7,10,5,9,8,2,6,3]=>00000000000 [3,6,2,8,9,5,11,7,4,12,10,1]=>[1,10,12,4,7,11,5,9,8,2,6,3]=>10000000000 [3,6,2,8,10,5,11,7,12,9,4,1]=>[1,4,9,12,7,11,5,10,8,2,6,3]=>10000000000 [3,6,2,9,10,5,11,12,8,7,4,1]=>[1,4,7,8,12,11,5,10,9,2,6,3]=>10000000000 [3,7,2,8,9,10,6,5,4,1,12,11]=>[11,12,1,4,5,6,10,9,8,2,7,3]=>00000000000 [3,7,2,8,9,11,6,5,4,12,10,1]=>[1,10,12,4,5,6,11,9,8,2,7,3]=>10000000000 [3,7,2,8,10,11,6,5,12,9,4,1]=>[1,4,9,12,5,6,11,10,8,2,7,3]=>10000000000 [3,7,2,9,10,11,6,12,8,5,4,1]=>[1,4,5,8,12,6,11,10,9,2,7,3]=>10000000000 [3,8,2,9,10,11,12,7,6,5,4,1]=>[1,4,5,6,7,12,11,10,9,2,8,3]=>10000000000 [4,5,6,3,2,1,8,7,10,9,12,11]=>[11,12,9,10,7,8,1,2,3,6,5,4]=>00000000000 [4,5,6,3,2,1,8,7,11,12,10,9]=>[9,10,12,11,7,8,1,2,3,6,5,4]=>00000000000 [4,5,6,3,2,1,9,10,8,7,12,11]=>[11,12,7,8,10,9,1,2,3,6,5,4]=>00000000000 [4,5,6,3,2,1,9,11,8,12,10,7]=>[7,10,12,8,11,9,1,2,3,6,5,4]=>00000000000 [4,5,6,3,2,1,10,11,12,9,8,7]=>[7,8,9,12,11,10,1,2,3,6,5,4]=>00000000000 [4,5,7,3,2,8,6,1,10,9,12,11]=>[11,12,9,10,1,6,8,2,3,7,5,4]=>00000000000 [4,5,7,3,2,8,6,1,11,12,10,9]=>[9,10,12,11,1,6,8,2,3,7,5,4]=>00000000000 [4,5,7,3,2,9,6,10,8,1,12,11]=>[11,12,1,8,10,6,9,2,3,7,5,4]=>00000000000 [4,5,7,3,2,9,6,11,8,12,10,1]=>[1,10,12,8,11,6,9,2,3,7,5,4]=>10000000000 [4,5,7,3,2,10,6,11,12,9,8,1]=>[1,8,9,12,11,6,10,2,3,7,5,4]=>10000000000 [4,5,8,3,2,9,10,7,6,1,12,11]=>[11,12,1,6,7,10,9,2,3,8,5,4]=>00000000000 [4,5,8,3,2,9,11,7,6,12,10,1]=>[1,10,12,6,7,11,9,2,3,8,5,4]=>10000000000 [4,5,8,3,2,10,11,7,12,9,6,1]=>[1,6,9,12,7,11,10,2,3,8,5,4]=>10000000000 [4,5,9,3,2,10,11,12,8,7,6,1]=>[1,6,7,8,12,11,10,2,3,9,5,4]=>10000000000 [4,6,7,3,8,5,2,1,10,9,12,11]=>[11,12,9,10,1,2,5,8,3,7,6,4]=>00000000000 [4,6,7,3,8,5,2,1,11,12,10,9]=>[9,10,12,11,1,2,5,8,3,7,6,4]=>00000000000 [4,6,7,3,9,5,2,10,8,1,12,11]=>[11,12,1,8,10,2,5,9,3,7,6,4]=>00000000000 [4,6,7,3,9,5,2,11,8,12,10,1]=>[1,10,12,8,11,2,5,9,3,7,6,4]=>10000000000 [4,6,7,3,10,5,2,11,12,9,8,1]=>[1,8,9,12,11,2,5,10,3,7,6,4]=>10000000000 [4,6,8,3,9,5,10,7,2,1,12,11]=>[11,12,1,2,7,10,5,9,3,8,6,4]=>00000000000 [4,6,8,3,9,5,11,7,2,12,10,1]=>[1,10,12,2,7,11,5,9,3,8,6,4]=>10000000000 [4,6,8,3,10,5,11,7,12,9,2,1]=>[1,2,9,12,7,11,5,10,3,8,6,4]=>11000000000 [4,6,9,3,10,5,11,12,8,7,2,1]=>[1,2,7,8,12,11,5,10,3,9,6,4]=>11000000000 [4,7,8,3,9,10,6,5,2,1,12,11]=>[11,12,1,2,5,6,10,9,3,8,7,4]=>00000000000 [4,7,8,3,9,11,6,5,2,12,10,1]=>[1,10,12,2,5,6,11,9,3,8,7,4]=>10000000000 [4,7,8,3,10,11,6,5,12,9,2,1]=>[1,2,9,12,5,6,11,10,3,8,7,4]=>11000000000 [4,7,9,3,10,11,6,12,8,5,2,1]=>[1,2,5,8,12,6,11,10,3,9,7,4]=>11000000000 [4,8,9,3,10,11,12,7,6,5,2,1]=>[1,2,5,6,7,12,11,10,3,9,8,4]=>11000000000 [5,6,7,8,4,3,2,1,10,9,12,11]=>[11,12,9,10,1,2,3,4,8,7,6,5]=>00000000000 [5,6,7,8,4,3,2,1,11,12,10,9]=>[9,10,12,11,1,2,3,4,8,7,6,5]=>00000000000 [5,6,7,9,4,3,2,10,8,1,12,11]=>[11,12,1,8,10,2,3,4,9,7,6,5]=>00000000000 [5,6,7,9,4,3,2,11,8,12,10,1]=>[1,10,12,8,11,2,3,4,9,7,6,5]=>10000000000 [5,6,7,10,4,3,2,11,12,9,8,1]=>[1,8,9,12,11,2,3,4,10,7,6,5]=>10000000000 [5,6,8,9,4,3,10,7,2,1,12,11]=>[11,12,1,2,7,10,3,4,9,8,6,5]=>00000000000 [5,6,8,9,4,3,11,7,2,12,10,1]=>[1,10,12,2,7,11,3,4,9,8,6,5]=>10000000000 [5,6,8,10,4,3,11,7,12,9,2,1]=>[1,2,9,12,7,11,3,4,10,8,6,5]=>11000000000 [5,6,9,10,4,3,11,12,8,7,2,1]=>[1,2,7,8,12,11,3,4,10,9,6,5]=>11000000000 [5,7,8,9,4,10,6,3,2,1,12,11]=>[11,12,1,2,3,6,10,4,9,8,7,5]=>00000000000 [5,7,8,9,4,11,6,3,2,12,10,1]=>[1,10,12,2,3,6,11,4,9,8,7,5]=>10000000000 [5,7,8,10,4,11,6,3,12,9,2,1]=>[1,2,9,12,3,6,11,4,10,8,7,5]=>11000000000 [5,7,9,10,4,11,6,12,8,3,2,1]=>[1,2,3,8,12,6,11,4,10,9,7,5]=>11100000000 [5,8,9,10,4,11,12,7,6,3,2,1]=>[1,2,3,6,7,12,11,4,10,9,8,5]=>11100000000 [6,7,8,9,10,5,4,3,2,1,12,11]=>[11,12,1,2,3,4,5,10,9,8,7,6]=>00000000000 [6,7,8,9,11,5,4,3,2,12,10,1]=>[1,10,12,2,3,4,5,11,9,8,7,6]=>10000000000 [6,7,8,10,11,5,4,3,12,9,2,1]=>[1,2,9,12,3,4,5,11,10,8,7,6]=>11000000000 [6,7,9,10,11,5,4,12,8,3,2,1]=>[1,2,3,8,12,4,5,11,10,9,7,6]=>11100000000 [6,8,9,10,11,5,12,7,4,3,2,1]=>[1,2,3,4,7,12,5,11,10,9,8,6]=>11110000000 [7,8,9,10,11,12,6,5,4,3,2,1]=>[1,2,3,4,5,6,12,11,10,9,8,7]=>11111100000 [3,8,2,7,6,1,5,4]=>[4,5,1,6,7,2,8,3]=>0000000 [4,8,7,3,1,6,5,2]=>[2,5,6,1,3,7,8,4]=>0000000 [4,8,7,3,2,6,5,1]=>[1,5,6,2,3,7,8,4]=>1000000 [4,8,7,3,6,2,5,1]=>[1,5,2,6,3,7,8,4]=>1000000 [5,8,7,6,3,4,2,1]=>[1,2,4,3,6,7,8,5]=>1101000 [5,8,7,6,4,2,1,3]=>[3,1,2,4,6,7,8,5]=>0011000 [5,8,7,6,4,3,1,2]=>[2,1,3,4,6,7,8,5]=>0111000 [7,3,4,2,1,6,5,8]=>[8,5,6,1,2,4,3,7]=>0000000 [7,3,5,2,6,1,4,8]=>[8,4,1,6,2,5,3,7]=>0000000 [7,3,5,2,6,4,1,8]=>[8,1,4,6,2,5,3,7]=>0000000 [7,2,1,5,6,4,3,8]=>[8,3,4,6,5,1,2,7]=>0000000 [7,3,5,1,6,4,2,8]=>[8,2,4,6,1,5,3,7]=>0000000 [7,4,5,6,1,3,2,8]=>[8,2,3,1,6,5,4,7]=>0000000 [1,4,5,7,3,2,8,6]=>[6,8,2,3,7,5,4,1]=>0000000 [6,4,5,7,3,1,8,2]=>[2,8,1,3,7,5,4,6]=>0000000 [6,3,5,1,7,4,8,2]=>[2,8,4,7,1,5,3,6]=>0000000 [6,2,1,5,7,4,8,3]=>[3,8,4,7,5,1,2,6]=>0000000 [3,2,1,5,7,4,8,6]=>[6,8,4,7,5,1,2,3]=>0000000 [2,4,6,7,3,8,1,5]=>[5,1,8,3,7,6,4,2]=>0000000 [1,4,6,7,3,8,5,2]=>[2,5,8,3,7,6,4,1]=>0000000 [2,5,6,7,8,3,1,4]=>[4,1,3,8,7,6,5,2]=>0000000 [3,2,1,6,7,8,4,5]=>[5,4,8,7,6,1,2,3]=>0000000 [5,2,1,6,7,8,4,3]=>[3,4,8,7,6,1,2,5]=>0000000 [5,3,6,1,7,8,4,2]=>[2,4,8,7,1,6,3,5]=>0000000 [5,4,6,7,1,8,3,2]=>[2,3,8,1,7,6,4,5]=>0000000 [6,4,5,7,2,1,8,3]=>[3,8,1,2,7,5,4,6]=>0000000 [5,4,6,7,2,8,3,1]=>[1,3,8,2,7,6,4,5]=>1000000 [5,3,6,2,7,8,4,1]=>[1,4,8,7,2,6,3,5]=>1000000 [5,3,6,2,7,8,1,4]=>[4,1,8,7,2,6,3,5]=>0000000 [6,3,5,2,7,1,8,4]=>[4,8,1,7,2,5,3,6]=>0000000 [5,3,4,1,2,7,8,6]=>[6,8,7,2,1,4,3,5]=>0000000 [4,3,6,2,7,8,1,5]=>[5,1,8,7,2,6,3,4]=>0000000 [4,3,6,2,7,8,5,1]=>[1,5,8,7,2,6,3,4]=>1000000 [1,3,6,2,7,8,5,4]=>[4,5,8,7,2,6,3,1]=>0000000 [1,4,6,7,2,8,5,3]=>[3,5,8,2,7,6,4,1]=>0000000 [3,4,6,7,2,8,5,1]=>[1,5,8,2,7,6,4,3]=>1000000 [3,4,5,7,2,1,8,6]=>[6,8,1,2,7,5,4,3]=>0000000 [4,2,1,5,7,3,8,6]=>[6,8,3,7,5,1,2,4]=>0000000 [4,2,1,6,7,8,3,5]=>[5,3,8,7,6,1,2,4]=>0000000 [4,3,6,1,7,8,2,5]=>[5,2,8,7,1,6,3,4]=>0000000 [1,5,6,7,8,2,4,3]=>[3,4,2,8,7,6,5,1]=>0000000 [1,5,6,7,8,4,2,3]=>[3,2,4,8,7,6,5,1]=>0000000 [4,3,6,1,7,8,5,2]=>[2,5,8,7,1,6,3,4]=>0000000 [4,2,1,6,7,8,5,3]=>[3,5,8,7,6,1,2,4]=>0000000 [2,4,6,7,1,8,5,3]=>[3,5,8,1,7,6,4,2]=>0000000 [2,5,6,7,8,1,4,3]=>[3,4,1,8,7,6,5,2]=>0000000 [6,8,2,4,5,7,1,3]=>[3,1,7,5,4,2,8,6]=>0000000 [3,7,8,4,5,2,6,1]=>[1,6,2,5,4,8,7,3]=>1000000 [7,8,1,4,5,3,6,2]=>[2,6,3,5,4,1,8,7]=>0000010 [5,8,1,4,7,6,3,2]=>[2,3,6,7,4,1,8,5]=>0000000 [7,5,1,8,6,2,4,3]=>[3,4,2,6,8,1,5,7]=>0000000 [7,4,1,8,2,6,3,5]=>[5,3,6,2,8,1,4,7]=>0000000 [7,1,8,4,2,6,3,5]=>[5,3,6,2,4,8,1,7]=>0000000 [7,3,1,8,4,2,6,5]=>[5,6,2,4,8,1,3,7]=>0000000 [7,2,8,3,6,5,1,4]=>[4,1,5,6,3,8,2,7]=>0000000 [7,2,8,3,6,1,5,4]=>[4,5,1,6,3,8,2,7]=>0000000 [6,1,2,8,3,5,4,7]=>[7,4,5,3,8,2,1,6]=>0000000 [5,2,3,8,1,4,7,6]=>[6,7,4,1,8,3,2,5]=>0000000 [6,2,4,1,8,7,3,5]=>[5,3,7,8,1,4,2,6]=>0000000 [3,1,6,4,2,8,5,7]=>[7,5,8,2,4,6,1,3]=>0000000 [2,6,3,8,7,1,5,4]=>[4,5,1,7,8,3,6,2]=>0000000 [2,6,3,8,5,1,4,7]=>[7,4,1,5,8,3,6,2]=>0000000 [2,5,1,8,3,4,7,6]=>[6,7,4,3,8,1,5,2]=>0000000 [1,2,5,3,8,4,7,6]=>[6,7,4,8,3,5,2,1]=>0000000 [1,2,4,8,3,7,6,5]=>[5,6,7,3,8,4,2,1]=>0000000 [2,4,8,3,7,1,6,5]=>[5,6,1,7,3,8,4,2]=>0000000 [2,4,8,3,7,6,1,5]=>[5,1,6,7,3,8,4,2]=>0000000 [2,5,3,8,1,7,4,6]=>[6,4,7,1,8,3,5,2]=>0000000 [2,5,4,1,3,8,7,6]=>[6,7,8,3,1,4,5,2]=>0000000 [3,1,5,4,8,2,7,6]=>[6,7,2,8,4,5,1,3]=>0000000 [5,2,3,8,4,7,1,6]=>[6,1,7,4,8,3,2,5]=>0000000 [4,8,2,3,7,6,1,5]=>[5,1,6,7,3,2,8,4]=>0000000 [4,8,2,3,7,1,6,5]=>[5,6,1,7,3,2,8,4]=>0000000 [4,8,1,2,3,7,6,5]=>[5,6,7,3,2,1,8,4]=>0000000 [1,4,8,3,7,2,6,5]=>[5,6,2,7,3,8,4,1]=>0000000 [6,3,8,1,5,2,4,7]=>[7,4,2,5,1,8,3,6]=>0000000 [5,3,8,1,2,4,7,6]=>[6,7,4,2,1,8,3,5]=>0000000 [5,1,3,8,2,4,7,6]=>[6,7,4,2,8,3,1,5]=>0000000 [1,5,3,8,2,4,7,6]=>[6,7,4,2,8,3,5,1]=>0000000 [1,5,4,8,2,7,6,3]=>[3,6,7,2,8,4,5,1]=>0000000 [5,1,4,8,2,7,6,3]=>[3,6,7,2,8,4,1,5]=>0000000 [5,4,8,1,2,7,6,3]=>[3,6,7,2,1,8,4,5]=>0000000 [6,5,1,2,8,7,4,3]=>[3,4,7,8,2,1,5,6]=>0000000 [4,1,5,8,2,7,6,3]=>[3,6,7,2,8,5,1,4]=>0000000 [4,1,2,5,8,7,6,3]=>[3,6,7,8,5,2,1,4]=>0000000 [1,4,2,5,8,7,6,3]=>[3,6,7,8,5,2,4,1]=>0000000 [1,3,5,2,8,7,4,6]=>[6,4,7,8,2,5,3,1]=>0000000 [3,5,1,2,8,7,4,6]=>[6,4,7,8,2,1,5,3]=>0000000 [4,2,6,1,8,7,3,5]=>[5,3,7,8,1,6,2,4]=>0000000 [4,3,1,5,8,2,7,6]=>[6,7,2,8,5,1,3,4]=>0000000 [3,5,2,8,7,1,4,6]=>[6,4,1,7,8,2,5,3]=>0000000 [3,4,8,1,7,2,6,5]=>[5,6,2,7,1,8,4,3]=>0000000 [1,3,4,8,7,2,6,5]=>[5,6,2,7,8,4,3,1]=>0000000 [1,3,4,8,2,7,6,5]=>[5,6,7,2,8,4,3,1]=>0000000 [3,4,8,1,2,7,6,5]=>[5,6,7,2,1,8,4,3]=>0000000 [3,4,8,2,7,6,1,5]=>[5,1,6,7,2,8,4,3]=>0000000 [4,2,5,8,1,7,6,3]=>[3,6,7,1,8,5,2,4]=>0000000 [4,3,1,2,5,8,7,6]=>[6,7,8,5,2,1,3,4]=>0000000 [3,1,4,2,5,8,7,6]=>[6,7,8,5,2,4,1,3]=>0000000 [6,4,1,2,7,3,5,8]=>[8,5,3,7,2,1,4,6]=>0000000 [7,8,2,5,4,6,1,3]=>[3,1,6,4,5,2,8,7]=>0000010 [3,7,6,4,8,5,1,2]=>[2,1,5,8,4,6,7,3]=>0100000 [5,1,6,2,4,8,3,7]=>[7,3,8,4,2,6,1,5]=>0000000 [1,7,2,4,8,3,6,5]=>[5,6,3,8,4,2,7,1]=>0000000 [4,7,2,1,5,3,6,8]=>[8,6,3,5,1,2,7,4]=>0000000 [3,7,6,5,2,4,1,8]=>[8,1,4,2,5,6,7,3]=>0000000 [1,7,6,5,8,2,4,3]=>[3,4,2,8,5,6,7,1]=>0000000 [3,7,6,5,1,2,4,8]=>[8,4,2,1,5,6,7,3]=>0000000 [2,7,6,5,8,1,3,4]=>[4,3,1,8,5,6,7,2]=>0000000 [3,7,5,8,2,4,1,6]=>[6,1,4,2,8,5,7,3]=>0000000 [5,1,7,8,4,3,2,6]=>[6,2,3,4,8,7,1,5]=>0000000 [5,1,2,6,4,3,8,7]=>[7,8,3,4,6,2,1,5]=>0000000 [5,1,2,4,6,3,8,7]=>[7,8,3,6,4,2,1,5]=>0000000 [4,1,5,7,8,3,2,6]=>[6,2,3,8,7,5,1,4]=>0000000 [4,7,1,8,3,6,2,5]=>[5,2,6,3,8,1,7,4]=>0000000 [4,1,7,8,5,2,3,6]=>[6,3,2,5,8,7,1,4]=>0000000 [5,1,7,4,8,2,3,6]=>[6,3,2,8,4,7,1,5]=>0000000 [5,1,8,4,7,2,3,6]=>[6,3,2,7,4,8,1,5]=>0000000 [4,1,8,7,5,2,3,6]=>[6,3,2,5,7,8,1,4]=>0000000 [4,7,1,6,3,2,8,5]=>[5,8,2,3,6,1,7,4]=>0000000 [7,1,2,3,8,6,5,4]=>[4,5,6,8,3,2,1,7]=>0000000 [6,8,1,4,3,7,2,5]=>[5,2,7,3,4,1,8,6]=>0000000 [8,7,3,2,4,1,6,5]=>[5,6,1,4,2,3,7,8]=>0000011 [6,7,1,4,3,8,2,5]=>[5,2,8,3,4,1,7,6]=>0000000 [8,1,2,3,5,7,6,4]=>[4,6,7,5,3,2,1,8]=>0000001 [7,1,2,3,6,8,5,4]=>[4,5,8,6,3,2,1,7]=>0000000 [7,1,8,5,4,3,2,6]=>[6,2,3,4,5,8,1,7]=>0000000 [7,8,2,6,3,4,1,5]=>[5,1,4,3,6,2,8,7]=>0000010 [6,7,2,8,3,4,1,5]=>[5,1,4,3,8,2,7,6]=>0000000 [3,8,7,1,4,2,6,5]=>[5,6,2,4,1,7,8,3]=>0000000 [3,7,8,1,4,2,6,5]=>[5,6,2,4,1,8,7,3]=>0000000 [3,6,8,1,4,2,7,5]=>[5,7,2,4,1,8,6,3]=>0000000 [3,5,7,8,2,4,1,6]=>[6,1,4,2,8,7,5,3]=>0000000 [3,6,7,1,4,2,8,5]=>[5,8,2,4,1,7,6,3]=>0000000 [8,6,2,7,3,1,4,5]=>[5,4,1,3,7,2,6,8]=>0000001 [8,1,7,5,4,3,2,6]=>[6,2,3,4,5,7,1,8]=>0000001 [8,1,7,4,5,3,2,6]=>[6,2,3,5,4,7,1,8]=>0000001 [5,8,3,7,1,4,2,6]=>[6,2,4,1,7,3,8,5]=>0000000 [2,1,7,3,4,6,8,5]=>[5,8,6,4,3,7,1,2]=>0000000 [6,7,3,2,4,1,8,5]=>[5,8,1,4,2,3,7,6]=>0000000 [8,7,2,4,3,6,1,5]=>[5,1,6,3,4,2,7,8]=>0000011 [7,1,2,3,5,6,8,4]=>[4,8,6,5,3,2,1,7]=>0000000 [6,1,2,3,8,7,4,5]=>[5,4,7,8,3,2,1,6]=>0000000 [5,1,2,3,7,8,6,4]=>[4,6,8,7,3,2,1,5]=>0000000 [8,6,2,4,3,1,7,5]=>[5,7,1,3,4,2,6,8]=>0000001 [7,6,3,2,4,8,1,5]=>[5,1,8,4,2,3,6,7]=>0000000 [8,6,3,2,4,7,1,5]=>[5,1,7,4,2,3,6,8]=>0000001 [7,6,2,4,3,1,8,5]=>[5,8,1,3,4,2,6,7]=>0000000 [2,3,6,8,4,7,1,5]=>[5,1,7,4,8,6,3,2]=>0000000 [7,4,6,1,5,2,3,8]=>[8,3,2,5,1,6,4,7]=>0000000 [6,8,1,4,7,2,3,5]=>[5,3,2,7,4,1,8,6]=>0000000 [1,6,4,2,8,3,5,7]=>[7,5,3,8,2,4,6,1]=>0000000 [1,6,3,8,5,4,2,7]=>[7,2,4,5,8,3,6,1]=>0000000 [7,1,3,6,5,4,2,8]=>[8,2,4,5,6,3,1,7]=>0000000 [7,2,1,4,6,3,5,8]=>[8,5,3,6,4,1,2,7]=>0000000 [7,1,2,3,6,5,4,8]=>[8,4,5,6,3,2,1,7]=>0000000 [6,8,1,2,7,3,5,4]=>[4,5,3,7,2,1,8,6]=>0000000 [1,6,2,3,8,5,4,7]=>[7,4,5,8,3,2,6,1]=>0000000 [6,2,8,1,7,3,5,4]=>[4,5,3,7,1,8,2,6]=>0000000 [3,6,4,1,2,8,5,7]=>[7,5,8,2,1,4,6,3]=>0000000 [2,5,1,8,7,6,3,4]=>[4,3,6,7,8,1,5,2]=>0000000 [1,2,5,3,8,7,4,6]=>[6,4,7,8,3,5,2,1]=>0000000 [2,5,3,8,7,1,6,4]=>[4,6,1,7,8,3,5,2]=>0000000 [2,5,8,4,1,7,6,3]=>[3,6,7,1,4,8,5,2]=>0000000 [3,5,8,7,1,4,2,6]=>[6,2,4,1,7,8,5,3]=>0000000 [5,3,8,4,1,7,6,2]=>[2,6,7,1,4,8,3,5]=>0000000 [4,2,8,7,6,3,5,1]=>[1,5,3,6,7,8,2,4]=>1000000 [6,3,1,8,7,2,5,4]=>[4,5,2,7,8,1,3,6]=>0000000 [5,1,3,8,7,6,2,4]=>[4,2,6,7,8,3,1,5]=>0000000 [1,5,3,8,7,6,2,4]=>[4,2,6,7,8,3,5,1]=>0000000 [5,1,8,4,7,2,6,3]=>[3,6,2,7,4,8,1,5]=>0000000 [5,8,7,4,6,1,2,3]=>[3,2,1,6,4,7,8,5]=>0010000 [6,8,5,1,2,4,7,3]=>[3,7,4,2,1,5,8,6]=>0000000 [4,5,8,1,7,2,6,3]=>[3,6,2,7,1,8,5,4]=>0000000 [1,3,2,5,8,7,4,6]=>[6,4,7,8,5,2,3,1]=>0000000 [3,5,1,8,7,4,6,2]=>[2,6,4,7,8,1,5,3]=>0000000 [4,3,6,1,2,8,5,7]=>[7,5,8,2,1,6,3,4]=>0000000 [4,5,8,3,1,7,2,6]=>[6,2,7,1,3,8,5,4]=>0000000 [4,5,2,8,7,1,3,6]=>[6,3,1,7,8,2,5,4]=>0000000 [3,4,8,7,6,2,1,5]=>[5,1,2,6,7,8,4,3]=>0000000 [3,4,8,7,6,5,1,2]=>[2,1,5,6,7,8,4,3]=>0100000 [1,3,4,8,7,6,2,5]=>[5,2,6,7,8,4,3,1]=>0000000 [3,2,5,8,7,4,6,1]=>[1,6,4,7,8,5,2,3]=>1000000 [2,1,3,5,8,7,4,6]=>[6,4,7,8,5,3,1,2]=>0000000 [1,2,7,5,8,6,4,3]=>[3,4,6,8,5,7,2,1]=>0000000 [6,8,1,3,7,5,2,4]=>[4,2,5,7,3,1,8,6]=>0000000 [1,3,7,8,2,6,5,4]=>[4,5,6,2,8,7,3,1]=>0000000 [2,7,8,1,3,6,5,4]=>[4,5,6,3,1,8,7,2]=>0000000 [8,1,2,6,7,3,5,4]=>[4,5,3,7,6,2,1,8]=>0000001 [8,1,2,6,7,5,3,4]=>[4,3,5,7,6,2,1,8]=>0000001 [8,2,5,7,1,3,6,4]=>[4,6,3,1,7,5,2,8]=>0000001 [2,8,1,6,7,3,5,4]=>[4,5,3,7,6,1,8,2]=>0000000 [2,6,8,3,7,1,5,4]=>[4,5,1,7,3,8,6,2]=>0000000 [2,8,6,4,7,1,5,3]=>[3,5,1,7,4,6,8,2]=>0000000 [6,8,3,4,1,7,5,2]=>[2,5,7,1,4,3,8,6]=>0000000 [6,8,3,7,4,1,5,2]=>[2,5,1,4,7,3,8,6]=>0000000 [8,2,5,7,1,6,3,4]=>[4,3,6,1,7,5,2,8]=>0000001 [8,4,7,2,3,6,1,5]=>[5,1,6,3,2,7,4,8]=>0000001 [8,5,7,4,2,6,1,3]=>[3,1,6,2,4,7,5,8]=>0000001 [8,3,5,7,4,1,6,2]=>[2,6,1,4,7,5,3,8]=>0000001 [8,5,2,4,7,1,6,3]=>[3,6,1,7,4,2,5,8]=>0000001 [8,2,4,7,3,6,1,5]=>[5,1,6,3,7,4,2,8]=>0000001 [8,2,7,1,4,6,3,5]=>[5,3,6,4,1,7,2,8]=>0000001 [8,7,1,2,4,6,3,5]=>[5,3,6,4,2,1,7,8]=>0000011 [8,7,1,4,6,2,3,5]=>[5,3,2,6,4,1,7,8]=>0000011 [8,4,7,1,3,6,2,5]=>[5,2,6,3,1,7,4,8]=>0000001 [8,3,5,7,1,2,6,4]=>[4,6,2,1,7,5,3,8]=>0000001 [5,8,7,1,3,6,2,4]=>[4,2,6,3,1,7,8,5]=>0000000 [8,5,4,7,1,6,2,3]=>[3,2,6,1,7,4,5,8]=>0000001 [8,5,4,7,1,2,6,3]=>[3,6,2,1,7,4,5,8]=>0000001 [8,5,1,4,7,2,6,3]=>[3,6,2,7,4,1,5,8]=>0000001 [8,5,6,3,1,7,4,2]=>[2,4,7,1,3,6,5,8]=>0000001 [1,8,4,5,7,2,6,3]=>[3,6,2,7,5,4,8,1]=>0000000 [5,8,7,3,6,1,2,4]=>[4,2,1,6,3,7,8,5]=>0000000 [8,3,5,7,1,6,2,4]=>[4,2,6,1,7,5,3,8]=>0000001 [1,6,8,3,7,5,2,4]=>[4,2,5,7,3,8,6,1]=>0000000 [6,3,8,2,7,5,1,4]=>[4,1,5,7,2,8,3,6]=>0000000 [8,6,4,7,3,1,5,2]=>[2,5,1,3,7,4,6,8]=>0000001 [8,4,5,7,3,1,6,2]=>[2,6,1,3,7,5,4,8]=>0000001 [8,3,4,7,2,6,1,5]=>[5,1,6,2,7,4,3,8]=>0000001 [8,7,1,3,4,6,2,5]=>[5,2,6,4,3,1,7,8]=>0000011 [8,3,7,2,4,6,1,5]=>[5,1,6,4,2,7,3,8]=>0000001 [2,8,4,5,7,1,6,3]=>[3,6,1,7,5,4,8,2]=>0000000 [8,7,3,4,5,1,6,2]=>[2,6,1,5,4,3,7,8]=>0000011 [8,7,4,5,2,6,1,3]=>[3,1,6,2,5,4,7,8]=>0000011 [8,7,2,3,4,6,1,5]=>[5,1,6,4,3,2,7,8]=>0000011 [8,6,1,2,5,7,3,4]=>[4,3,7,5,2,1,6,8]=>0000001 [5,1,4,2,7,3,6,8]=>[8,6,3,7,2,4,1,5]=>0000000 [5,7,8,1,3,4,6,2]=>[2,6,4,3,1,8,7,5]=>0000000 [5,8,1,7,3,4,6,2]=>[2,6,4,3,7,1,8,5]=>0000000 [6,1,2,4,8,7,5,3]=>[3,5,7,8,4,2,1,6]=>0000000 [1,4,2,3,8,5,7,6]=>[6,7,5,8,3,2,4,1]=>0000000 [3,1,8,6,4,7,5,2]=>[2,5,7,4,6,8,1,3]=>0000000 [8,1,2,6,7,4,5,3]=>[3,5,4,7,6,2,1,8]=>0000001 [7,1,2,8,3,6,5,4]=>[4,5,6,3,8,2,1,7]=>0000000 [3,6,2,5,4,1,8,7]=>[7,8,1,4,5,2,6,3]=>0000000 [3,5,2,8,4,7,6,1]=>[1,6,7,4,8,2,5,3]=>1000000 [5,4,7,3,2,8,6,1]=>[1,6,8,2,3,7,4,5]=>1000000 [5,4,8,3,2,7,6,1]=>[1,6,7,2,3,8,4,5]=>1000000 [5,3,2,6,4,1,8,7]=>[7,8,1,4,6,2,3,5]=>0000000 [4,5,8,3,2,7,6,1]=>[1,6,7,2,3,8,5,4]=>1000000 [4,7,6,3,8,5,2,1]=>[1,2,5,8,3,6,7,4]=>1100000 [4,8,6,3,7,5,2,1]=>[1,2,5,7,3,6,8,4]=>1100000 [5,3,2,8,4,7,6,1]=>[1,6,7,4,8,2,3,5]=>1000000 [2,1,5,8,4,7,6,3]=>[3,6,7,4,8,5,1,2]=>0000000 [5,3,2,7,4,8,6,1]=>[1,6,8,4,7,2,3,5]=>1000000 [5,7,4,3,2,8,6,1]=>[1,6,8,2,3,4,7,5]=>1000000 [4,7,5,3,2,8,6,1]=>[1,6,8,2,3,5,7,4]=>1000000 [4,7,8,3,6,5,2,1]=>[1,2,5,6,3,8,7,4]=>1100000 [4,6,8,3,7,5,2,1]=>[1,2,5,7,3,8,6,4]=>1100000 [7,6,4,3,8,5,2,1]=>[1,2,5,8,3,4,6,7]=>1100000 [8,3,2,6,7,5,4,1]=>[1,4,5,7,6,2,3,8]=>1000001 [8,6,4,3,7,5,2,1]=>[1,2,5,7,3,4,6,8]=>1100001 [8,4,5,3,2,7,6,1]=>[1,6,7,2,3,5,4,8]=>1000001 [8,4,6,3,7,5,2,1]=>[1,2,5,7,3,6,4,8]=>1100001 [7,4,6,3,8,5,2,1]=>[1,2,5,8,3,6,4,7]=>1100000 [3,7,2,6,8,5,4,1]=>[1,4,5,8,6,2,7,3]=>1000000 [3,8,2,6,7,5,4,1]=>[1,4,5,7,6,2,8,3]=>1000000 [3,7,2,8,6,5,4,1]=>[1,4,5,6,8,2,7,3]=>1000000 [3,6,2,8,7,5,4,1]=>[1,4,5,7,8,2,6,3]=>1000000 [7,4,5,3,2,8,6,1]=>[1,6,8,2,3,5,4,7]=>1000000 [2,1,7,5,4,8,6,3]=>[3,6,8,4,5,7,1,2]=>0000000 [7,3,2,8,6,5,4,1]=>[1,4,5,6,8,2,3,7]=>1000000 [7,8,4,3,6,5,2,1]=>[1,2,5,6,3,4,8,7]=>1100010 [6,3,2,8,7,5,4,1]=>[1,4,5,7,8,2,3,6]=>1000000 [6,3,2,7,8,5,4,1]=>[1,4,5,8,7,2,3,6]=>1000000 [1,5,6,2,4,7,3,8]=>[8,3,7,4,2,6,5,1]=>0000000 [1,6,8,5,2,3,7,4]=>[4,7,3,2,5,8,6,1]=>0000000 [3,7,5,6,1,4,8,2]=>[2,8,4,1,6,5,7,3]=>0000000 [8,6,1,4,2,7,5,3]=>[3,5,7,2,4,1,6,8]=>0000001 [8,1,6,4,2,7,5,3]=>[3,5,7,2,4,6,1,8]=>0000001 [1,3,6,4,2,8,5,7]=>[7,5,8,2,4,6,3,1]=>0000000 [1,8,4,3,7,2,5,6]=>[6,5,2,7,3,4,8,1]=>0000000 [5,7,6,8,3,2,1,4]=>[4,1,2,3,8,6,7,5]=>0001000 [6,1,4,3,8,2,5,7]=>[7,5,2,8,3,4,1,6]=>0000000 [3,7,5,8,6,2,1,4]=>[4,1,2,6,8,5,7,3]=>0000000 [6,8,7,5,3,2,1,4]=>[4,1,2,3,5,7,8,6]=>0001100 [1,5,4,7,6,8,2,3]=>[3,2,8,6,7,4,5,1]=>0000000 [3,5,4,8,6,7,1,2]=>[2,1,7,6,8,4,5,3]=>0100000 [3,8,4,6,5,7,1,2]=>[2,1,7,5,6,4,8,3]=>0100000 [3,6,4,7,5,8,1,2]=>[2,1,8,5,7,4,6,3]=>0100000 [7,8,1,4,2,6,3,5]=>[5,3,6,2,4,1,8,7]=>0000010 [3,8,7,1,4,6,5,2]=>[2,5,6,4,1,7,8,3]=>0000000 [4,3,7,6,8,2,5,1]=>[1,5,2,8,6,7,3,4]=>1000000 [5,3,6,8,1,7,2,4]=>[4,2,7,1,8,6,3,5]=>0000000 [7,4,8,6,5,2,1,3]=>[3,1,2,5,6,8,4,7]=>0010000 [7,4,3,2,8,5,6,1]=>[1,6,5,8,2,3,4,7]=>1000000 [4,7,8,3,1,5,6,2]=>[2,6,5,1,3,8,7,4]=>0000000 [4,8,7,5,6,1,2,3]=>[3,2,1,6,5,7,8,4]=>0010000 [4,7,8,1,3,5,6,2]=>[2,6,5,3,1,8,7,4]=>0000000 [6,4,8,7,1,3,2,5]=>[5,2,3,1,7,8,4,6]=>0000000 [2,8,3,7,1,5,6,4]=>[4,6,5,1,7,3,8,2]=>0000000 [5,3,8,6,2,1,4,7]=>[7,4,1,2,6,8,3,5]=>0000000 [4,3,7,5,1,8,2,6]=>[6,2,8,1,5,7,3,4]=>0000000 [6,8,5,2,7,4,3,1]=>[1,3,4,7,2,5,8,6]=>1000000 [4,1,6,5,8,2,3,7]=>[7,3,2,8,5,6,1,4]=>0000000 [4,3,8,6,2,5,1,7]=>[7,1,5,2,6,8,3,4]=>0000000 [1,7,4,3,8,6,2,5]=>[5,2,6,8,3,4,7,1]=>0000000 [2,8,6,1,7,4,5,3]=>[3,5,4,7,1,6,8,2]=>0000000 [8,5,4,3,1,6,7,2]=>[2,7,6,1,3,4,5,8]=>0000001 [5,8,3,6,7,4,1,2]=>[2,1,4,7,6,3,8,5]=>0100000 [3,6,8,5,1,2,7,4]=>[4,7,2,1,5,8,6,3]=>0000000 [6,5,2,4,8,1,7,3]=>[3,7,1,8,4,2,5,6]=>0000000 [1,5,4,8,2,6,7,3]=>[3,7,6,2,8,4,5,1]=>0000000 [7,2,1,5,8,6,3,4]=>[4,3,6,8,5,1,2,7]=>0000000 [6,3,4,8,5,1,7,2]=>[2,7,1,5,8,4,3,6]=>0000000 [6,5,4,8,1,2,7,3]=>[3,7,2,1,8,4,5,6]=>0000000 [6,5,4,7,1,2,8,3]=>[3,8,2,1,7,4,5,6]=>0000000 [6,5,4,7,8,1,3,2]=>[2,3,1,8,7,4,5,6]=>0010000 [6,5,3,7,1,4,2,8]=>[8,2,4,1,7,3,5,6]=>0000000 [6,5,3,8,1,4,2,7]=>[7,2,4,1,8,3,5,6]=>0000000 [6,5,3,8,1,4,7,2]=>[2,7,4,1,8,3,5,6]=>0000000 [6,5,3,1,2,7,8,4]=>[4,8,7,2,1,3,5,6]=>0000000 [7,4,1,5,3,2,8,6]=>[6,8,2,3,5,1,4,7]=>0000000 [6,4,3,1,5,2,8,7]=>[7,8,2,5,1,3,4,6]=>0000000 [6,4,3,1,5,7,2,8]=>[8,2,7,5,1,3,4,6]=>0000000 [6,4,3,1,5,7,8,2]=>[2,8,7,5,1,3,4,6]=>0000000 [7,1,5,8,4,6,2,3]=>[3,2,6,4,8,5,1,7]=>0000000 [8,6,7,1,4,2,5,3]=>[3,5,2,4,1,7,6,8]=>0000101 [8,6,3,7,5,1,2,4]=>[4,2,1,5,7,3,6,8]=>0000001 [8,6,1,7,3,2,5,4]=>[4,5,2,3,7,1,6,8]=>0000001 [7,6,1,8,3,5,2,4]=>[4,2,5,3,8,1,6,7]=>0000000 [7,6,1,3,8,5,2,4]=>[4,2,5,8,3,1,6,7]=>0000000 [7,6,2,8,3,5,1,4]=>[4,1,5,3,8,2,6,7]=>0000000 [8,7,1,5,2,6,3,4]=>[4,3,6,2,5,1,7,8]=>0000011 [8,7,1,5,2,3,6,4]=>[4,6,3,2,5,1,7,8]=>0000011 [8,5,2,3,1,7,6,4]=>[4,6,7,1,3,2,5,8]=>0000001 [8,6,2,3,7,1,5,4]=>[4,5,1,7,3,2,6,8]=>0000001 [8,6,2,7,3,1,5,4]=>[4,5,1,3,7,2,6,8]=>0000001 [8,6,7,2,4,1,5,3]=>[3,5,1,4,2,7,6,8]=>0000101 [6,8,7,3,4,1,5,2]=>[2,5,1,4,3,7,8,6]=>0000100 [8,7,2,5,1,6,3,4]=>[4,3,6,1,5,2,7,8]=>0000011 [8,7,2,1,4,6,3,5]=>[5,3,6,4,1,2,7,8]=>0000011 [8,4,2,1,7,6,3,5]=>[5,3,6,7,1,2,4,8]=>0000001 [8,5,2,7,1,6,3,4]=>[4,3,6,1,7,2,5,8]=>0000001 [8,5,7,2,1,4,3,6]=>[6,3,4,1,2,7,5,8]=>0000001 [5,8,7,3,1,4,2,6]=>[6,2,4,1,3,7,8,5]=>0000000 [8,5,7,2,1,4,6,3]=>[3,6,4,1,2,7,5,8]=>0000001 [8,5,2,7,1,3,6,4]=>[4,6,3,1,7,2,5,8]=>0000001 [8,7,4,1,2,3,6,5]=>[5,6,3,2,1,4,7,8]=>0000011 [8,7,4,1,2,6,3,5]=>[5,3,6,2,1,4,7,8]=>0000011 [8,4,3,1,7,2,6,5]=>[5,6,2,7,1,3,4,8]=>0000001 [8,4,3,1,2,7,6,5]=>[5,6,7,2,1,3,4,8]=>0000001 [8,6,1,3,7,2,5,4]=>[4,5,2,7,3,1,6,8]=>0000001 [8,5,1,3,2,7,6,4]=>[4,6,7,2,3,1,5,8]=>0000001 [8,5,7,4,1,6,2,3]=>[3,2,6,1,4,7,5,8]=>0000001 [8,5,7,4,1,2,6,3]=>[3,6,2,1,4,7,5,8]=>0000001 [8,1,5,4,2,7,6,3]=>[3,6,7,2,4,5,1,8]=>0000001 [8,1,6,4,7,2,5,3]=>[3,5,2,7,4,6,1,8]=>0000001 [6,1,5,8,4,2,7,3]=>[3,7,2,4,8,5,1,6]=>0000000 [5,8,3,6,4,1,2,7]=>[7,2,1,4,6,3,8,5]=>0000000 [8,4,7,5,1,6,2,3]=>[3,2,6,1,5,7,4,8]=>0000001 [8,4,7,5,1,2,6,3]=>[3,6,2,1,5,7,4,8]=>0000001 [8,4,7,5,1,2,3,6]=>[6,3,2,1,5,7,4,8]=>0000001 [8,3,2,6,5,1,4,7]=>[7,4,1,5,6,2,3,8]=>0000001 [4,8,7,3,1,5,2,6]=>[6,2,5,1,3,7,8,4]=>0000000 [8,4,7,2,1,5,3,6]=>[6,3,5,1,2,7,4,8]=>0000001 [8,3,2,7,1,5,4,6]=>[6,4,5,1,7,2,3,8]=>0000001 [8,7,3,1,6,2,4,5]=>[5,4,2,6,1,3,7,8]=>0000011 [8,7,3,1,2,4,6,5]=>[5,6,4,2,1,3,7,8]=>0000011 [8,3,2,1,7,4,6,5]=>[5,6,4,7,1,2,3,8]=>0000001 [8,4,7,2,1,5,6,3]=>[3,6,5,1,2,7,4,8]=>0000001 [8,7,2,1,3,6,4,5]=>[5,4,6,3,1,2,7,8]=>0000011 [8,7,2,1,3,4,6,5]=>[5,6,4,3,1,2,7,8]=>0000011 [1,2,3,8,4,6,7,5]=>[5,7,6,4,8,3,2,1]=>0000000 [1,7,8,2,3,6,4,5]=>[5,4,6,3,2,8,7,1]=>0000000 [1,6,7,8,2,3,5,4]=>[4,5,3,2,8,7,6,1]=>0000000 [1,7,8,2,5,3,6,4]=>[4,6,3,5,2,8,7,1]=>0000000 [1,7,8,2,4,3,6,5]=>[5,6,3,4,2,8,7,1]=>0000000 [7,6,3,1,5,2,4,8]=>[8,4,2,5,1,3,6,7]=>0000000 [6,7,3,1,5,2,8,4]=>[4,8,2,5,1,3,7,6]=>0000000 [6,8,3,1,5,2,7,4]=>[4,7,2,5,1,3,8,6]=>0000000 [6,8,4,5,1,2,7,3]=>[3,7,2,1,5,4,8,6]=>0000000 [6,7,4,5,1,2,8,3]=>[3,8,2,1,5,4,7,6]=>0000000 [7,2,1,6,5,3,4,8]=>[8,4,3,5,6,1,2,7]=>0000000 [7,3,6,1,5,2,4,8]=>[8,4,2,5,1,6,3,7]=>0000000 [7,4,6,5,1,2,3,8]=>[8,3,2,1,5,6,4,7]=>0000000 [6,7,5,4,1,2,8,3]=>[3,8,2,1,4,5,7,6]=>0000000 [5,8,6,4,1,7,2,3]=>[3,2,7,1,4,6,8,5]=>0000000 [5,7,6,4,1,8,2,3]=>[3,2,8,1,4,6,7,5]=>0000000 [5,6,7,4,1,8,2,3]=>[3,2,8,1,4,7,6,5]=>0000000 [6,5,7,4,1,2,8,3]=>[3,8,2,1,4,7,5,6]=>0000000 [6,2,1,7,5,3,8,4]=>[4,8,3,5,7,1,2,6]=>0000000 [6,3,8,1,5,2,7,4]=>[4,7,2,5,1,8,3,6]=>0000000 [6,4,8,5,1,2,7,3]=>[3,7,2,1,5,8,4,6]=>0000000 [6,5,8,4,1,2,7,3]=>[3,7,2,1,4,8,5,6]=>0000000 [5,6,8,4,1,7,2,3]=>[3,2,7,1,4,8,6,5]=>0000000 [4,6,8,5,7,1,2,3]=>[3,2,1,7,5,8,6,4]=>0010000 [4,5,8,6,7,1,2,3]=>[3,2,1,7,6,8,5,4]=>0010000 [5,2,1,7,6,8,3,4]=>[4,3,8,6,7,1,2,5]=>0000000 [4,5,7,6,8,1,2,3]=>[3,2,1,8,6,7,5,4]=>0010000 [4,6,7,5,8,1,2,3]=>[3,2,1,8,5,7,6,4]=>0010000 [4,7,5,6,8,1,2,3]=>[3,2,1,8,6,5,7,4]=>0010000 [4,6,5,7,8,1,2,3]=>[3,2,1,8,7,5,6,4]=>0010000 [5,7,4,6,1,8,2,3]=>[3,2,8,1,6,4,7,5]=>0000000 [5,8,3,1,6,7,2,4]=>[4,2,7,6,1,3,8,5]=>0000000 [5,7,3,1,6,8,2,4]=>[4,2,8,6,1,3,7,5]=>0000000 [5,6,3,1,7,8,2,4]=>[4,2,8,7,1,3,6,5]=>0000000 [5,8,3,1,7,6,2,4]=>[4,2,6,7,1,3,8,5]=>0000000 [5,7,4,8,1,6,2,3]=>[3,2,6,1,8,4,7,5]=>0000000 [5,2,1,6,8,7,3,4]=>[4,3,7,8,6,1,2,5]=>0000000 [5,4,6,8,1,7,2,3]=>[3,2,7,1,8,6,4,5]=>0000000 [4,5,6,8,7,1,2,3]=>[3,2,1,7,8,6,5,4]=>0010000 [4,7,5,8,6,1,2,3]=>[3,2,1,6,8,5,7,4]=>0010000 [4,8,5,7,6,1,2,3]=>[3,2,1,6,7,5,8,4]=>0010000 [4,8,6,7,5,1,2,3]=>[3,2,1,5,7,6,8,4]=>0010000 [4,7,6,8,5,1,2,3]=>[3,2,1,5,8,6,7,4]=>0010000 [4,6,7,8,5,1,2,3]=>[3,2,1,5,8,7,6,4]=>0010000 [4,5,7,8,6,1,2,3]=>[3,2,1,6,8,7,5,4]=>0010000 [5,4,7,8,1,6,2,3]=>[3,2,6,1,8,7,4,5]=>0000000 [5,3,7,1,8,6,2,4]=>[4,2,6,8,1,7,3,5]=>0000000 [5,2,1,7,8,6,3,4]=>[4,3,6,8,7,1,2,5]=>0000000 [5,3,8,1,7,6,2,4]=>[4,2,6,7,1,8,3,5]=>0000000 [5,4,8,7,1,6,2,3]=>[3,2,6,1,7,8,4,5]=>0000000 [4,6,8,7,5,1,2,3]=>[3,2,1,5,7,8,6,4]=>0010000 [4,7,8,6,5,1,2,3]=>[3,2,1,5,6,8,7,4]=>0010000 [4,8,7,6,5,1,2,3]=>[3,2,1,5,6,7,8,4]=>0010000 [2,5,3,1,6,4,8,7]=>[7,8,4,6,1,3,5,2]=>0000000 [2,7,5,3,6,4,1,8]=>[8,1,4,6,3,5,7,2]=>0000000 [2,3,1,8,6,5,4,7]=>[7,4,5,6,8,1,3,2]=>0000000 [1,2,6,3,8,7,4,5]=>[5,4,7,8,3,6,2,1]=>0000000 [1,2,3,8,6,4,7,5]=>[5,7,4,6,8,3,2,1]=>0000000 [2,1,3,8,5,4,7,6]=>[6,7,4,5,8,3,1,2]=>0000000 [7,1,8,4,2,3,5,6]=>[6,5,3,2,4,8,1,7]=>0000000 [4,2,6,3,1,8,5,7]=>[7,5,8,1,3,6,2,4]=>0000000 [5,4,2,8,3,1,6,7]=>[7,6,1,3,8,2,4,5]=>0000000 [1,5,2,8,7,3,4,6]=>[6,4,3,7,8,2,5,1]=>0000000 [1,2,8,6,3,7,4,5]=>[5,4,7,3,6,8,2,1]=>0000000 [1,2,3,8,7,4,6,5]=>[5,6,4,7,8,3,2,1]=>0000000 [1,2,3,8,7,6,4,5]=>[5,4,6,7,8,3,2,1]=>0000000 [3,8,5,7,1,6,4,2]=>[2,4,6,1,7,5,8,3]=>0000000 [3,8,5,7,2,1,6,4]=>[4,6,1,2,7,5,8,3]=>0000000 [4,3,2,8,5,1,7,6]=>[6,7,1,5,8,2,3,4]=>0000000 [3,2,5,7,6,1,4,8]=>[8,4,1,6,7,5,2,3]=>0000000 [4,2,6,7,5,1,3,8]=>[8,3,1,5,7,6,2,4]=>0000000 [4,8,6,7,3,1,5,2]=>[2,5,1,3,7,6,8,4]=>0000000 [5,8,6,7,4,2,1,3]=>[3,1,2,4,7,6,8,5]=>0011000 [6,1,5,2,8,4,7,3]=>[3,7,4,8,2,5,1,6]=>0000000 [4,6,1,8,5,7,2,3]=>[3,2,7,5,8,1,6,4]=>0000000 [4,7,1,2,8,5,6,3]=>[3,6,5,8,2,1,7,4]=>0000000 [1,4,7,2,8,5,6,3]=>[3,6,5,8,2,7,4,1]=>0000000 [1,7,3,5,8,6,2,4]=>[4,2,6,8,5,3,7,1]=>0000000 [7,3,5,8,6,1,2,4]=>[4,2,1,6,8,5,3,7]=>0000000 [6,8,1,5,7,2,3,4]=>[4,3,2,7,5,1,8,6]=>0000000 [7,1,2,5,8,6,3,4]=>[4,3,6,8,5,2,1,7]=>0000000 [1,7,2,5,8,6,3,4]=>[4,3,6,8,5,2,7,1]=>0000000 [1,7,6,8,2,3,5,4]=>[4,5,3,2,8,6,7,1]=>0000000 [7,6,8,1,2,3,5,4]=>[4,5,3,2,1,8,6,7]=>0000100 [2,7,1,5,8,6,3,4]=>[4,3,6,8,5,1,7,2]=>0000000 [2,4,7,1,8,5,6,3]=>[3,6,5,8,1,7,4,2]=>0000000 [4,7,5,8,3,1,6,2]=>[2,6,1,3,8,5,7,4]=>0000000 [4,7,2,1,8,5,6,3]=>[3,6,5,8,1,2,7,4]=>0000000 [7,3,5,8,6,2,1,4]=>[4,1,2,6,8,5,3,7]=>0000000 [7,6,8,2,1,3,5,4]=>[4,5,3,1,2,8,6,7]=>0000100 [1,2,7,6,8,3,5,4]=>[4,5,3,8,6,7,2,1]=>0000000 [3,7,6,8,2,1,5,4]=>[4,5,1,2,8,6,7,3]=>0000000 [6,7,4,1,8,5,3,2]=>[2,3,5,8,1,4,7,6]=>0000000 [6,7,4,3,1,8,5,2]=>[2,5,8,1,3,4,7,6]=>0000000 [2,7,4,1,6,8,5,3]=>[3,5,8,6,1,4,7,2]=>0000000 [3,1,7,6,8,2,5,4]=>[4,5,2,8,6,7,1,3]=>0000000 [1,3,7,6,8,2,5,4]=>[4,5,2,8,6,7,3,1]=>0000000 [1,7,4,2,6,8,5,3]=>[3,5,8,6,2,4,7,1]=>0000000 [7,1,4,2,8,5,6,3]=>[3,6,5,8,2,4,1,7]=>0000000 [7,1,8,2,5,4,6,3]=>[3,6,4,5,2,8,1,7]=>0000000 [7,1,6,8,5,4,2,3]=>[3,2,4,5,8,6,1,7]=>0000000 [7,1,2,6,8,5,4,3]=>[3,4,5,8,6,2,1,7]=>0000000 [1,7,2,6,8,5,4,3]=>[3,4,5,8,6,2,7,1]=>0000000 [1,7,6,8,3,2,5,4]=>[4,5,2,3,8,6,7,1]=>0000000 [7,6,8,3,1,2,5,4]=>[4,5,2,1,3,8,6,7]=>0000100 [7,1,5,8,6,3,2,4]=>[4,2,3,6,8,5,1,7]=>0000000 [3,6,7,1,8,5,4,2]=>[2,4,5,8,1,7,6,3]=>0000000 [7,2,6,8,5,4,1,3]=>[3,1,4,5,8,6,2,7]=>0000000 [7,6,8,2,3,1,5,4]=>[4,5,1,3,2,8,6,7]=>0000100 [2,7,6,8,3,1,5,4]=>[4,5,1,3,8,6,7,2]=>0000000 [2,7,1,6,8,5,4,3]=>[3,4,5,8,6,1,7,2]=>0000000 [6,7,3,1,8,5,4,2]=>[2,4,5,8,1,3,7,6]=>0000000 [6,7,1,8,5,4,3,2]=>[2,3,4,5,8,1,7,6]=>0000000 [7,2,1,6,8,5,4,3]=>[3,4,5,8,6,1,2,7]=>0000000 [6,2,3,4,8,7,1,5]=>[5,1,7,8,4,3,2,6]=>0000000 [6,2,3,4,7,8,1,5]=>[5,1,8,7,4,3,2,6]=>0000000 [5,2,6,3,8,1,7,4]=>[4,7,1,8,3,6,2,5]=>0000000 [6,4,3,8,7,5,1,2]=>[2,1,5,7,8,3,4,6]=>0100000 [6,4,3,7,8,5,1,2]=>[2,1,5,8,7,3,4,6]=>0100000 [4,5,6,8,3,2,1,7]=>[7,1,2,3,8,6,5,4]=>0000000 [5,6,1,4,2,3,7,8]=>[8,7,3,2,4,1,6,5]=>0000000 [5,6,8,4,3,7,1,2]=>[2,1,7,3,4,8,6,5]=>0100000 [5,6,1,4,2,3,8,7]=>[7,8,3,2,4,1,6,5]=>0000000 [4,5,8,6,3,2,1,7]=>[7,1,2,3,6,8,5,4]=>0000000 [4,8,6,5,3,2,1,7]=>[7,1,2,3,5,6,8,4]=>0000000 [5,1,7,4,2,3,6,8]=>[8,6,3,2,4,7,1,5]=>0000000 [4,8,7,5,3,2,1,6]=>[6,1,2,3,5,7,8,4]=>0000000 [4,7,8,6,3,2,1,5]=>[5,1,2,3,6,8,7,4]=>0000000 [4,8,2,3,6,7,5,1]=>[1,5,7,6,3,2,8,4]=>1000000 [4,3,8,7,2,5,1,6]=>[6,1,5,2,7,8,3,4]=>0000000 [5,8,1,4,7,2,6,3]=>[3,6,2,7,4,1,8,5]=>0000000 [4,8,7,6,3,1,2,5]=>[5,2,1,3,6,7,8,4]=>0000000 [1,4,3,8,2,6,5,7]=>[7,5,6,2,8,3,4,1]=>0000000 [7,3,6,8,4,2,1,5]=>[5,1,2,4,8,6,3,7]=>0000000 [6,2,8,7,4,3,5,1]=>[1,5,3,4,7,8,2,6]=>1000000 [3,1,2,4,8,6,5,7]=>[7,5,6,8,4,2,1,3]=>0000000 [3,1,4,2,8,6,5,7]=>[7,5,6,8,2,4,1,3]=>0000000 [6,7,2,8,3,5,4,1]=>[1,4,5,3,8,2,7,6]=>1000000 [2,1,3,4,8,6,5,7]=>[7,5,6,8,4,3,1,2]=>0000000 [3,5,7,8,6,1,2,4]=>[4,2,1,6,8,7,5,3]=>0000000 [3,1,5,6,8,2,7,4]=>[4,7,2,8,6,5,1,3]=>0000000 [5,1,6,3,8,4,7,2]=>[2,7,4,8,3,6,1,5]=>0000000 [2,5,1,6,8,3,7,4]=>[4,7,3,8,6,1,5,2]=>0000000 [5,1,2,6,8,3,7,4]=>[4,7,3,8,6,2,1,5]=>0000000 [1,5,2,7,8,6,3,4]=>[4,3,6,8,7,2,5,1]=>0000000 [6,1,7,5,2,8,3,4]=>[4,3,8,2,5,7,1,6]=>0000000 [2,6,7,5,1,8,3,4]=>[4,3,8,1,5,7,6,2]=>0000000 [5,7,2,8,6,1,3,4]=>[4,3,1,6,8,2,7,5]=>0000000 [3,5,7,8,6,2,1,4]=>[4,1,2,6,8,7,5,3]=>0000000 [3,2,5,7,8,6,1,4]=>[4,1,6,8,7,5,2,3]=>0000000 [6,2,7,5,1,8,3,4]=>[4,3,8,1,5,7,2,6]=>0000000 [1,2,6,7,5,8,3,4]=>[4,3,8,5,7,6,2,1]=>0000000 [6,2,7,5,4,1,8,3]=>[3,8,1,4,5,7,2,6]=>0000000 [6,7,5,2,4,1,8,3]=>[3,8,1,4,2,5,7,6]=>0000000 [6,7,2,5,3,8,1,4]=>[4,1,8,3,5,2,7,6]=>0000000 [5,1,7,8,6,3,2,4]=>[4,2,3,6,8,7,1,5]=>0000000 [1,6,7,5,3,8,2,4]=>[4,2,8,3,5,7,6,1]=>0000000 [1,6,7,5,4,2,8,3]=>[3,8,2,4,5,7,6,1]=>0000000 [5,7,8,6,4,1,2,3]=>[3,2,1,4,6,8,7,5]=>0011000 [6,7,4,1,5,2,8,3]=>[3,8,2,5,1,4,7,6]=>0000000 [1,6,7,4,5,2,8,3]=>[3,8,2,5,4,7,6,1]=>0000000 [6,3,1,7,5,8,2,4]=>[4,2,8,5,7,1,3,6]=>0000000 [2,5,3,7,8,6,1,4]=>[4,1,6,8,7,3,5,2]=>0000000 [6,3,2,7,5,8,1,4]=>[4,1,8,5,7,2,3,6]=>0000000 [6,7,4,2,5,1,8,3]=>[3,8,1,5,2,4,7,6]=>0000000 [6,2,7,4,5,1,8,3]=>[3,8,1,5,4,7,2,6]=>0000000 [6,2,3,7,5,8,1,4]=>[4,1,8,5,7,3,2,6]=>0000000 [7,5,1,6,3,8,2,4]=>[4,2,8,3,6,1,5,7]=>0000000 [7,5,1,6,3,8,4,2]=>[2,4,8,3,6,1,5,7]=>0000000 [2,6,7,4,1,8,3,5]=>[5,3,8,1,4,7,6,2]=>0000000 [2,1,6,7,3,8,5,4]=>[4,5,8,3,7,6,1,2]=>0000000 [4,6,1,5,8,7,3,2]=>[2,3,7,8,5,1,6,4]=>0000000 [7,5,1,6,2,8,3,4]=>[4,3,8,2,6,1,5,7]=>0000000 [4,6,1,5,8,2,3,7]=>[7,3,2,8,5,1,6,4]=>0000000 [7,5,3,2,8,4,1,6]=>[6,1,4,8,2,3,5,7]=>0000000 [6,4,7,3,2,8,5,1]=>[1,5,8,2,3,7,4,6]=>1000000 [5,1,7,3,8,4,2,6]=>[6,2,4,8,3,7,1,5]=>0000000 [5,3,7,1,4,8,6,2]=>[2,6,8,4,1,7,3,5]=>0000000 [6,4,3,1,7,8,5,2]=>[2,5,8,7,1,3,4,6]=>0000000 [5,6,1,7,8,3,4,2]=>[2,4,3,8,7,1,6,5]=>0000000 [1,6,3,7,4,8,5,2]=>[2,5,8,4,7,3,6,1]=>0000000 [6,7,2,4,1,8,5,3]=>[3,5,8,1,4,2,7,6]=>0000000 [5,6,3,2,1,7,8,4]=>[4,8,7,1,2,3,6,5]=>0000000 [6,3,7,2,8,4,1,5]=>[5,1,4,8,2,7,3,6]=>0000000 [6,7,2,1,3,8,5,4]=>[4,5,8,3,1,2,7,6]=>0000000 [6,2,7,1,8,5,4,3]=>[3,4,5,8,1,7,2,6]=>0000000 [6,3,1,7,8,5,4,2]=>[2,4,5,8,7,1,3,6]=>0000000 [5,3,2,1,8,4,7,6]=>[6,7,4,8,1,2,3,5]=>0000000 [2,4,6,5,8,1,3,7]=>[7,3,1,8,5,6,4,2]=>0000000 [3,4,1,8,5,2,7,6]=>[6,7,2,5,8,1,4,3]=>0000000 [1,5,3,2,8,7,4,6]=>[6,4,7,8,2,3,5,1]=>0000000 [5,8,7,4,6,2,1,3]=>[3,1,2,6,4,7,8,5]=>0010000 [3,2,5,6,8,7,1,4]=>[4,1,7,8,6,5,2,3]=>0000000 [4,8,3,1,2,7,6,5]=>[5,6,7,2,1,3,8,4]=>0000000 [5,8,2,7,4,1,6,3]=>[3,6,1,4,7,2,8,5]=>0000000 [5,1,4,2,8,7,6,3]=>[3,6,7,8,2,4,1,5]=>0000000 [6,3,2,1,8,5,7,4]=>[4,7,5,8,1,2,3,6]=>0000000 [8,1,3,6,5,2,4,7]=>[7,4,2,5,6,3,1,8]=>0000001 [1,3,5,2,4,8,7,6]=>[6,7,8,4,2,5,3,1]=>0000000 [5,1,3,2,8,6,7,4]=>[4,7,6,8,2,3,1,5]=>0000000 [1,8,4,3,7,2,6,5]=>[5,6,2,7,3,4,8,1]=>0000000 [3,4,8,7,2,1,6,5]=>[5,6,1,2,7,8,4,3]=>0000000 [5,4,7,8,3,6,2,1]=>[1,2,6,3,8,7,4,5]=>1100000 [6,3,8,7,4,1,2,5]=>[5,2,1,4,7,8,3,6]=>0000000 [1,7,2,4,6,5,8,3]=>[3,8,5,6,4,2,7,1]=>0000000 [5,8,6,2,1,3,7,4]=>[4,7,3,1,2,6,8,5]=>0000000 [1,3,2,7,5,8,6,4]=>[4,6,8,5,7,2,3,1]=>0000000 [1,4,2,5,8,3,7,6]=>[6,7,3,8,5,2,4,1]=>0000000 [1,4,2,7,8,5,6,3]=>[3,6,5,8,7,2,4,1]=>0000000 [5,1,2,6,8,4,7,3]=>[3,7,4,8,6,2,1,5]=>0000000 [4,1,2,6,8,5,3,7]=>[7,3,5,8,6,2,1,4]=>0000000 [1,5,2,4,8,7,6,3]=>[3,6,7,8,4,2,5,1]=>0000000 [1,2,7,4,8,6,5,3]=>[3,5,6,8,4,7,2,1]=>0000000 [1,3,2,7,5,8,4,6]=>[6,4,8,5,7,2,3,1]=>0000000 [1,3,2,8,5,7,4,6]=>[6,4,7,5,8,2,3,1]=>0000000 [1,2,6,4,8,7,3,5]=>[5,3,7,8,4,6,2,1]=>0000000 [1,2,6,8,5,7,3,4]=>[4,3,7,5,8,6,2,1]=>0000000 [1,5,6,8,2,7,3,4]=>[4,3,7,2,8,6,5,1]=>0000000 [1,3,8,2,6,7,4,5]=>[5,4,7,6,2,8,3,1]=>0000000 [1,4,7,2,8,6,3,5]=>[5,3,6,8,2,7,4,1]=>0000000 [1,6,7,8,2,5,3,4]=>[4,3,5,2,8,7,6,1]=>0000000 [1,2,6,8,3,7,5,4]=>[4,5,7,3,8,6,2,1]=>0000000 [1,5,7,8,2,3,6,4]=>[4,6,3,2,8,7,5,1]=>0000000 [1,4,7,2,8,3,6,5]=>[5,6,3,8,2,7,4,1]=>0000000 [1,6,7,3,4,8,5,2]=>[2,5,8,4,3,7,6,1]=>0000000 [1,5,3,7,4,8,6,2]=>[2,6,8,4,7,3,5,1]=>0000000 [1,3,6,4,2,8,7,5]=>[5,7,8,2,4,6,3,1]=>0000000 [1,3,7,4,2,8,6,5]=>[5,6,8,2,4,7,3,1]=>0000000 [1,2,8,4,7,3,6,5]=>[5,6,3,7,4,8,2,1]=>0000000 [1,5,2,4,8,3,7,6]=>[6,7,3,8,4,2,5,1]=>0000000 [1,8,4,5,7,2,3,6]=>[6,3,2,7,5,4,8,1]=>0000000 [1,8,3,5,2,7,4,6]=>[6,4,7,2,5,3,8,1]=>0000000 [2,8,3,5,1,4,7,6]=>[6,7,4,1,5,3,8,2]=>0000000 [2,3,8,6,1,4,7,5]=>[5,7,4,1,6,8,3,2]=>0000000 [1,4,8,6,7,2,3,5]=>[5,3,2,7,6,8,4,1]=>0000000 [1,5,6,8,7,2,3,4]=>[4,3,2,7,8,6,5,1]=>0000000 [1,2,7,8,5,3,6,4]=>[4,6,3,5,8,7,2,1]=>0000000 [1,2,5,8,7,3,6,4]=>[4,6,3,7,8,5,2,1]=>0000000 [1,2,6,8,7,3,5,4]=>[4,5,3,7,8,6,2,1]=>0000000 [1,2,7,8,6,3,5,4]=>[4,5,3,6,8,7,2,1]=>0000000 [1,5,7,8,6,2,3,4]=>[4,3,2,6,8,7,5,1]=>0000000 [1,3,7,6,2,8,4,5]=>[5,4,8,2,6,7,3,1]=>0000000 [1,2,8,4,7,6,3,5]=>[5,3,6,7,4,8,2,1]=>0000000 [1,2,5,8,7,6,3,4]=>[4,3,6,7,8,5,2,1]=>0000000 [1,2,6,8,7,5,3,4]=>[4,3,5,7,8,6,2,1]=>0000000 [1,2,7,8,6,5,3,4]=>[4,3,5,6,8,7,2,1]=>0000000 [5,2,6,7,3,4,8,1]=>[1,8,4,3,7,6,2,5]=>1000000 [5,6,2,1,7,8,3,4]=>[4,3,8,7,1,2,6,5]=>0000000 [5,6,2,1,4,8,7,3]=>[3,7,8,4,1,2,6,5]=>0000000 [2,6,1,4,5,8,7,3]=>[3,7,8,5,4,1,6,2]=>0000000 [5,4,2,7,6,3,8,1]=>[1,8,3,6,7,2,4,5]=>1000000 [2,3,7,6,4,5,8,1]=>[1,8,5,4,6,7,3,2]=>1000000 [2,6,1,7,5,8,3,4]=>[4,3,8,5,7,1,6,2]=>0000000 [5,1,2,7,8,4,3,6]=>[6,3,4,8,7,2,1,5]=>0000000 [2,6,1,7,4,8,3,5]=>[5,3,8,4,7,1,6,2]=>0000000 [3,6,4,1,7,8,2,5]=>[5,2,8,7,1,4,6,3]=>0000000 [5,4,6,1,7,8,2,3]=>[3,2,8,7,1,6,4,5]=>0000000 [5,4,6,1,3,8,7,2]=>[2,7,8,3,1,6,4,5]=>0000000 [3,6,4,1,5,8,7,2]=>[2,7,8,5,1,4,6,3]=>0000000 [2,6,1,5,4,8,7,3]=>[3,7,8,4,5,1,6,2]=>0000000 [2,6,1,4,7,8,5,3]=>[3,5,8,7,4,1,6,2]=>0000000 [5,1,2,4,8,7,6,3]=>[3,6,7,8,4,2,1,5]=>0000000 [2,1,5,3,8,6,4,7]=>[7,4,6,8,3,5,1,2]=>0000000 [5,1,2,4,8,6,3,7]=>[7,3,6,8,4,2,1,5]=>0000000 [5,6,3,1,4,8,2,7]=>[7,2,8,4,1,3,6,5]=>0000000 [2,5,4,3,1,8,6,7]=>[7,6,8,1,3,4,5,2]=>0000000 [5,4,6,3,1,8,7,2]=>[2,7,8,1,3,6,4,5]=>0000000 [2,1,3,7,8,6,4,5]=>[5,4,6,8,7,3,1,2]=>0000000 [5,1,4,2,8,6,7,3]=>[3,7,6,8,2,4,1,5]=>0000000 [1,2,3,8,6,7,4,5]=>[5,4,7,6,8,3,2,1]=>0000000 [1,2,3,8,7,5,4,6]=>[6,4,5,7,8,3,2,1]=>0000000 [1,2,3,8,7,4,5,6]=>[6,5,4,7,8,3,2,1]=>0000000 [2,1,3,6,8,7,4,5]=>[5,4,7,8,6,3,1,2]=>0000000 [3,1,6,2,8,7,5,4]=>[4,5,7,8,2,6,1,3]=>0000000 [6,8,1,3,2,5,4,7]=>[7,4,5,2,3,1,8,6]=>0000000 [5,8,1,4,3,7,2,6]=>[6,2,7,3,4,1,8,5]=>0000000 [2,5,4,7,6,8,1,3]=>[3,1,8,6,7,4,5,2]=>0000000 [2,6,1,4,3,7,5,8]=>[8,5,7,3,4,1,6,2]=>0000000 [2,6,1,5,3,7,4,8]=>[8,4,7,3,5,1,6,2]=>0000000 [4,7,1,3,2,6,5,8]=>[8,5,6,2,3,1,7,4]=>0000000 [4,7,5,8,2,6,1,3]=>[3,1,6,2,8,5,7,4]=>0000000 [3,7,4,8,2,6,1,5]=>[5,1,6,2,8,4,7,3]=>0000000 [3,7,2,6,5,8,1,4]=>[4,1,8,5,6,2,7,3]=>0000000 [7,6,4,8,5,2,3,1]=>[1,3,2,5,8,4,6,7]=>1010000 [6,7,4,3,5,1,8,2]=>[2,8,1,5,3,4,7,6]=>0000000 [6,7,3,5,4,8,2,1]=>[1,2,8,4,5,3,7,6]=>1100000 [6,8,3,7,5,2,4,1]=>[1,4,2,5,7,3,8,6]=>1000000 [7,6,3,5,8,2,4,1]=>[1,4,2,8,5,3,6,7]=>1000000 [7,6,2,8,4,1,5,3]=>[3,5,1,4,8,2,6,7]=>0000000 [7,6,3,4,8,2,5,1]=>[1,5,2,8,4,3,6,7]=>1000000 [6,8,3,7,4,5,2,1]=>[1,2,5,4,7,3,8,6]=>1100000 [6,7,3,5,8,4,2,1]=>[1,2,4,8,5,3,7,6]=>1100000 [5,7,8,3,6,2,1,4]=>[4,1,2,6,3,8,7,5]=>0000000 [6,3,8,4,7,2,1,5]=>[5,1,2,7,4,8,3,6]=>0000000 [6,3,4,7,5,8,2,1]=>[1,2,8,5,7,4,3,6]=>1100000 [6,3,5,7,8,4,2,1]=>[1,2,4,8,7,5,3,6]=>1100000 [5,7,3,6,8,2,1,4]=>[4,1,2,8,6,3,7,5]=>0000000 [5,6,7,3,4,1,8,2]=>[2,8,1,4,3,7,6,5]=>0000000 [4,6,7,8,3,5,2,1]=>[1,2,5,3,8,7,6,4]=>1100000 [4,7,3,5,6,8,2,1]=>[1,2,8,6,5,3,7,4]=>1100000 [5,3,4,7,8,2,1,6]=>[6,1,2,8,7,4,3,5]=>0000000 [5,3,8,2,4,1,6,7]=>[7,6,1,4,2,8,3,5]=>0000000 [5,3,4,8,2,6,1,7]=>[7,1,6,2,8,4,3,5]=>0000000 [4,8,3,6,2,5,7,1]=>[1,7,5,2,6,3,8,4]=>1000000 [4,8,3,5,7,2,6,1]=>[1,6,2,7,5,3,8,4]=>1000000 [4,8,3,5,6,7,2,1]=>[1,2,7,6,5,3,8,4]=>1100000 [4,7,8,3,5,6,2,1]=>[1,2,6,5,3,8,7,4]=>1100000 [4,7,8,3,6,2,5,1]=>[1,5,2,6,3,8,7,4]=>1000000 [4,8,3,6,7,2,5,1]=>[1,5,2,7,6,3,8,4]=>1000000 [4,8,3,7,2,5,6,1]=>[1,6,5,2,7,3,8,4]=>1000000 [5,8,3,7,2,6,4,1]=>[1,4,6,2,7,3,8,5]=>1000000 [5,7,3,4,8,2,1,6]=>[6,1,2,8,4,3,7,5]=>0000000 [5,8,4,2,3,1,6,7]=>[7,6,1,3,2,4,8,5]=>0000000 [5,8,4,2,3,1,7,6]=>[6,7,1,3,2,4,8,5]=>0000000 [6,4,8,5,3,7,2,1]=>[1,2,7,3,5,8,4,6]=>1100000 [6,4,2,7,3,1,8,5]=>[5,8,1,3,7,2,4,6]=>0000000 [6,4,3,7,8,5,2,1]=>[1,2,5,8,7,3,4,6]=>1100000 [6,4,5,3,7,1,8,2]=>[2,8,1,7,3,5,4,6]=>0000000 [5,7,4,2,3,1,6,8]=>[8,6,1,3,2,4,7,5]=>0000000 [5,6,3,7,1,8,2,4]=>[4,2,8,1,7,3,6,5]=>0000000 [5,6,3,4,8,2,1,7]=>[7,1,2,8,4,3,6,5]=>0000000 [6,3,5,7,4,8,2,1]=>[1,2,8,4,7,5,3,6]=>1100000 [6,3,5,4,7,8,2,1]=>[1,2,8,7,4,5,3,6]=>1100000 [6,4,3,5,7,1,8,2]=>[2,8,1,7,5,3,4,6]=>0000000 [6,4,2,5,1,7,3,8]=>[8,3,7,1,5,2,4,6]=>0000000 [5,3,4,7,2,6,1,8]=>[8,1,6,2,7,4,3,5]=>0000000 [4,7,3,6,2,5,8,1]=>[1,8,5,2,6,3,7,4]=>1000000 [4,7,3,6,8,2,5,1]=>[1,5,2,8,6,3,7,4]=>1000000 [4,6,7,3,5,8,2,1]=>[1,2,8,5,3,7,6,4]=>1100000 [4,5,7,8,3,6,2,1]=>[1,2,6,3,8,7,5,4]=>1100000 [4,5,8,3,7,2,6,1]=>[1,6,2,7,3,8,5,4]=>1000000 [5,3,4,6,8,2,1,7]=>[7,1,2,8,6,4,3,5]=>0000000 [5,3,6,7,1,8,2,4]=>[4,2,8,1,7,6,3,5]=>0000000 [5,3,4,6,7,1,8,2]=>[2,8,1,7,6,4,3,5]=>0000000 [4,6,3,5,7,8,2,1]=>[1,2,8,7,5,3,6,4]=>1100000 [4,5,7,3,6,8,2,1]=>[1,2,8,6,3,7,5,4]=>1100000 [7,1,5,8,4,2,3,6]=>[6,3,2,4,8,5,1,7]=>0000000 [8,1,5,7,4,2,3,6]=>[6,3,2,4,7,5,1,8]=>0000001 [7,1,4,5,8,2,3,6]=>[6,3,2,8,5,4,1,7]=>0000000 [7,4,1,6,2,8,3,5]=>[5,3,8,2,6,1,4,7]=>0000000 [8,4,1,7,2,6,3,5]=>[5,3,6,2,7,1,4,8]=>0000001 [8,1,4,7,5,2,3,6]=>[6,3,2,5,7,4,1,8]=>0000001 [8,1,5,4,7,2,3,6]=>[6,3,2,7,4,5,1,8]=>0000001 [2,1,7,5,8,3,4,6]=>[6,4,3,8,5,7,1,2]=>0000000 [7,1,5,4,8,2,3,6]=>[6,3,2,8,4,5,1,7]=>0000000 [7,1,4,8,5,2,3,6]=>[6,3,2,5,8,4,1,7]=>0000000 [7,8,3,1,2,4,6,5]=>[5,6,4,2,1,3,8,7]=>0000010 [8,7,1,6,4,2,3,5]=>[5,3,2,4,6,1,7,8]=>0000011 [8,6,1,7,4,2,3,5]=>[5,3,2,4,7,1,6,8]=>0000001 [7,6,1,8,4,2,3,5]=>[5,3,2,4,8,1,6,7]=>0000000 [7,3,8,1,2,4,6,5]=>[5,6,4,2,1,8,3,7]=>0000000 [8,3,7,1,2,4,6,5]=>[5,6,4,2,1,7,3,8]=>0000001 [8,3,6,1,2,4,7,5]=>[5,7,4,2,1,6,3,8]=>0000001 [8,3,7,5,1,2,4,6]=>[6,4,2,1,5,7,3,8]=>0000001 [7,3,6,1,2,4,8,5]=>[5,8,4,2,1,6,3,7]=>0000000 [6,7,1,8,4,2,3,5]=>[5,3,2,4,8,1,7,6]=>0000000 [6,8,1,7,4,2,3,5]=>[5,3,2,4,7,1,8,6]=>0000000 [7,1,8,4,5,2,3,6]=>[6,3,2,5,4,8,1,7]=>0000000 [7,6,3,1,2,4,8,5]=>[5,8,4,2,1,3,6,7]=>0000000 [6,1,2,3,8,7,5,4]=>[4,5,7,8,3,2,1,6]=>0000000 [6,8,3,1,2,7,4,5]=>[5,4,7,2,1,3,8,6]=>0000000 [6,7,3,1,2,8,4,5]=>[5,4,8,2,1,3,7,6]=>0000000 [6,7,1,4,2,3,8,5]=>[5,8,3,2,4,1,7,6]=>0000000 [1,3,6,8,7,4,2,5]=>[5,2,4,7,8,6,3,1]=>0000000 [2,3,5,1,8,4,7,6]=>[6,7,4,8,1,5,3,2]=>0000000 [2,3,7,5,1,8,4,6]=>[6,4,8,1,5,7,3,2]=>0000000 [3,5,4,6,8,2,1,7]=>[7,1,2,8,6,4,5,3]=>0000000 [1,2,7,5,6,8,4,3]=>[3,4,8,6,5,7,2,1]=>0000000 [4,6,2,7,5,8,3,1]=>[1,3,8,5,7,2,6,4]=>1000000 [3,5,7,4,8,2,6,1]=>[1,6,2,8,4,7,5,3]=>1000000 [1,2,4,8,7,3,6,5]=>[5,6,3,7,8,4,2,1]=>0000000 [5,7,1,2,8,6,4,3]=>[3,4,6,8,2,1,7,5]=>0000000 [1,2,5,8,7,4,6,3]=>[3,6,4,7,8,5,2,1]=>0000000 [1,2,4,8,7,6,3,5]=>[5,3,6,7,8,4,2,1]=>0000000 [2,6,3,4,7,1,5,8]=>[8,5,1,7,4,3,6,2]=>0000000 [4,7,6,2,3,8,1,5]=>[5,1,8,3,2,6,7,4]=>0000000 [7,6,2,4,5,8,1,3]=>[3,1,8,5,4,2,6,7]=>0000000 [5,3,1,2,8,4,7,6]=>[6,7,4,8,2,1,3,5]=>0000000 [6,5,2,3,7,1,4,8]=>[8,4,1,7,3,2,5,6]=>0000000 [5,2,1,8,3,4,6,7]=>[7,6,4,3,8,1,2,5]=>0000000 [6,2,3,1,8,4,7,5]=>[5,7,4,8,1,3,2,6]=>0000000 [8,6,1,7,2,4,5,3]=>[3,5,4,2,7,1,6,8]=>0000001 [6,4,5,8,7,1,2,3]=>[3,2,1,7,8,5,4,6]=>0010000 [6,8,2,3,5,1,4,7]=>[7,4,1,5,3,2,8,6]=>0000000 [7,8,3,6,2,4,5,1]=>[1,5,4,2,6,3,8,7]=>1000010 [1,2,3,4,5,6,12,11,10,9,8,7]=>[7,8,9,10,11,12,6,5,4,3,2,1]=>00000000000 [8,6,2,5,4,1,7,3]=>[3,7,1,4,5,2,6,8]=>0000001 [8,7,2,5,1,6,4,3]=>[3,4,6,1,5,2,7,8]=>0000011 [7,1,8,2,6,5,4,3]=>[3,4,5,6,2,8,1,7]=>0000000 [3,4,6,5,1,2,8,7]=>[7,8,2,1,5,6,4,3]=>0000000 [7,2,1,6,3,8,5,4]=>[4,5,8,3,6,1,2,7]=>0000000 [8,7,1,2,6,5,4,3]=>[3,4,5,6,2,1,7,8]=>0000011 [7,8,1,2,6,5,4,3]=>[3,4,5,6,2,1,8,7]=>0000010 [12,11,10,9,8,7,1,2,3,4,5,6]=>[6,5,4,3,2,1,7,8,9,10,11,12]=>00000111111 [1,8,2,7,4,3,5,6]=>[6,5,3,4,7,2,8,1]=>0000000 [1,8,6,4,7,2,3,5]=>[5,3,2,7,4,6,8,1]=>0000000 [1,8,4,2,6,3,5,7]=>[7,5,3,6,2,4,8,1]=>0000000 [7,4,8,1,5,2,3,6]=>[6,3,2,5,1,8,4,7]=>0000000 [4,1,7,2,6,3,5,8]=>[8,5,3,6,2,7,1,4]=>0000000 [1,8,5,4,3,7,2,6]=>[6,2,7,3,4,5,8,1]=>0000000 [1,8,4,2,5,3,7,6]=>[6,7,3,5,2,4,8,1]=>0000000 [1,8,5,4,2,6,7,3]=>[3,7,6,2,4,5,8,1]=>0000000 [7,4,8,2,1,3,5,6]=>[6,5,3,1,2,8,4,7]=>0000000 [4,1,7,3,2,5,6,8]=>[8,6,5,2,3,7,1,4]=>0000000 [7,5,4,8,2,3,6,1]=>[1,6,3,2,8,4,5,7]=>1000000 [3,1,7,2,6,8,4,5]=>[5,4,8,6,2,7,1,3]=>0000000 [5,1,7,4,2,6,8,3]=>[3,8,6,2,4,7,1,5]=>0000000 [4,3,1,6,2,5,7,8]=>[8,7,5,2,6,1,3,4]=>0000000 [6,5,4,3,7,1,8,2]=>[2,8,1,7,3,4,5,6]=>0000000 [6,5,1,7,3,8,2,4]=>[4,2,8,3,7,1,5,6]=>0000000 [5,4,3,8,1,6,2,7]=>[7,2,6,1,8,3,4,5]=>0000000 [7,2,8,6,3,1,4,5]=>[5,4,1,3,6,8,2,7]=>0000000 [2,1,7,8,3,6,4,5]=>[5,4,6,3,8,7,1,2]=>0000000 [4,2,1,6,7,3,5,8]=>[8,5,3,7,6,1,2,4]=>0000000 [4,3,1,5,2,7,6,8]=>[8,6,7,2,5,1,3,4]=>0000000 [5,4,2,7,3,8,1,6]=>[6,1,8,3,7,2,4,5]=>0000000 [3,1,6,2,8,7,4,5]=>[5,4,7,8,2,6,1,3]=>0000000 [6,3,1,7,8,5,2,4]=>[4,2,5,8,7,1,3,6]=>0000000 [6,5,4,1,7,8,3,2]=>[2,3,8,7,1,4,5,6]=>0000000 [5,4,3,1,6,7,2,8]=>[8,2,7,6,1,3,4,5]=>0000000 [5,4,2,6,3,8,7,1]=>[1,7,8,3,6,2,4,5]=>1000000 [4,3,1,5,2,6,8,7]=>[7,8,6,2,5,1,3,4]=>0000000 [5,4,2,1,6,7,8,3]=>[3,8,7,6,1,2,4,5]=>0000000 [5,4,3,1,6,7,8,2]=>[2,8,7,6,1,3,4,5]=>0000000 [4,6,7,2,5,1,3,8]=>[8,3,1,5,2,7,6,4]=>0000000 [5,2,3,6,1,4,7,8]=>[8,7,4,1,6,3,2,5]=>0000000 [2,5,3,6,1,4,7,8]=>[8,7,4,1,6,3,5,2]=>0000000 [1,5,4,6,7,2,3,8]=>[8,3,2,7,6,4,5,1]=>0000000 [1,6,7,3,2,4,5,8]=>[8,5,4,2,3,7,6,1]=>0000000 [1,5,3,6,2,4,7,8]=>[8,7,4,2,6,3,5,1]=>0000000 [5,1,3,6,2,4,7,8]=>[8,7,4,2,6,3,1,5]=>0000000 [6,1,7,4,5,2,3,8]=>[8,3,2,5,4,7,1,6]=>0000000 [7,3,4,1,6,2,5,8]=>[8,5,2,6,1,4,3,7]=>0000000 [1,3,6,7,2,5,8,4]=>[4,8,5,2,7,6,3,1]=>0000000 [2,3,4,5,8,6,1,7]=>[7,1,6,8,5,4,3,2]=>0000000 [6,3,5,2,4,7,8,1]=>[1,8,7,4,2,5,3,6]=>1000000 [4,3,2,6,7,1,8,5]=>[5,8,1,7,6,2,3,4]=>0000000 [5,7,4,6,1,8,3,2]=>[2,3,8,1,6,4,7,5]=>0000000 [7,3,4,5,8,2,6,1]=>[1,6,2,8,5,4,3,7]=>1000000 [6,2,1,7,3,5,4,8]=>[8,4,5,3,7,1,2,6]=>0000000 [2,1,8,6,3,5,4,7]=>[7,4,5,3,6,8,1,2]=>0000000 [2,7,3,1,5,4,6,8]=>[8,6,4,5,1,3,7,2]=>0000000 [2,6,3,1,4,8,5,7]=>[7,5,8,4,1,3,6,2]=>0000000 [4,2,1,8,3,6,7,5]=>[5,7,6,3,8,1,2,4]=>0000000 [6,2,1,7,3,5,8,4]=>[4,8,5,3,7,1,2,6]=>0000000 [2,7,3,1,4,8,5,6]=>[6,5,8,4,1,3,7,2]=>0000000 [3,2,1,5,7,8,4,6]=>[6,4,8,7,5,1,2,3]=>0000000 [2,4,7,5,1,6,8,3]=>[3,8,6,1,5,7,4,2]=>0000000 [4,3,6,8,5,1,7,2]=>[2,7,1,5,8,6,3,4]=>0000000 [2,1,6,8,3,7,4,5]=>[5,4,7,3,8,6,1,2]=>0000000 [3,2,1,5,6,8,4,7]=>[7,4,8,6,5,1,2,3]=>0000000 [2,1,7,3,6,4,5,8]=>[8,5,4,6,3,7,1,2]=>0000000 [2,1,6,3,5,8,4,7]=>[7,4,8,5,3,6,1,2]=>0000000 [2,6,1,8,3,5,4,7]=>[7,4,5,3,8,1,6,2]=>0000000 [2,7,3,1,5,6,4,8]=>[8,4,6,5,1,3,7,2]=>0000000 [2,4,7,5,1,6,3,8]=>[8,3,6,1,5,7,4,2]=>0000000 [8,2,4,1,7,5,3,6]=>[6,3,5,7,1,4,2,8]=>0000001 [2,4,7,1,8,5,3,6]=>[6,3,5,8,1,7,4,2]=>0000000 [2,4,8,5,1,6,3,7]=>[7,3,6,1,5,8,4,2]=>0000000 [6,2,1,7,3,4,8,5]=>[5,8,4,3,7,1,2,6]=>0000000 [6,2,1,7,8,3,5,4]=>[4,5,3,8,7,1,2,6]=>0000000 [2,7,1,8,3,5,6,4]=>[4,6,5,3,8,1,7,2]=>0000000 [3,2,1,6,7,4,5,8]=>[8,5,4,7,6,1,2,3]=>0000000 [3,2,1,7,4,5,6,8]=>[8,6,5,4,7,1,2,3]=>0000000 [2,1,8,3,7,4,5,6]=>[6,5,4,7,3,8,1,2]=>0000000 [2,4,8,5,1,6,7,3]=>[3,7,6,1,5,8,4,2]=>0000000 [4,3,8,5,6,1,7,2]=>[2,7,1,6,5,8,3,4]=>0000000 [3,2,1,8,4,5,6,7]=>[7,6,5,4,8,1,2,3]=>0000000 [6,1,5,8,2,4,7,3]=>[3,7,4,2,8,5,1,6]=>0000000 [4,1,2,7,8,3,6,5]=>[5,6,3,8,7,2,1,4]=>0000000 [3,8,6,4,7,5,1,2]=>[2,1,5,7,4,6,8,3]=>0100000 [3,7,4,8,6,5,1,2]=>[2,1,5,6,8,4,7,3]=>0100000 [4,3,2,6,8,5,1,7]=>[7,1,5,8,6,2,3,4]=>0000000 [2,5,7,8,3,1,4,6]=>[6,4,1,3,8,7,5,2]=>0000000 [6,4,7,3,8,1,5,2]=>[2,5,1,8,3,7,4,6]=>0000000 [6,3,2,5,4,8,1,7]=>[7,1,8,4,5,2,3,6]=>0000000 [2,5,7,8,3,1,6,4]=>[4,6,1,3,8,7,5,2]=>0000000 [4,5,7,8,3,1,2,6]=>[6,2,1,3,8,7,5,4]=>0000000 [5,4,6,2,8,3,1,7]=>[7,1,3,8,2,6,4,5]=>0000000 [5,3,2,6,8,4,1,7]=>[7,1,4,8,6,2,3,5]=>0000000 [5,4,7,2,8,1,3,6]=>[6,3,1,8,2,7,4,5]=>0000000 [4,3,2,7,8,1,6,5]=>[5,6,1,8,7,2,3,4]=>0000000 [4,5,8,3,7,6,1,2]=>[2,1,6,7,3,8,5,4]=>0100000 [7,2,3,4,8,1,5,6]=>[6,5,1,8,4,3,2,7]=>0000000 [2,6,4,8,1,5,7,3]=>[3,7,5,1,8,4,6,2]=>0000000 [7,6,5,1,2,3,8,4]=>[4,8,3,2,1,5,6,7]=>0000000 [3,5,6,4,1,2,8,7]=>[7,8,2,1,4,6,5,3]=>0000000 [2,6,4,3,1,8,7,5]=>[5,7,8,1,3,4,6,2]=>0000000 [3,6,4,2,1,7,5,8]=>[8,5,7,1,2,4,6,3]=>0000000 [7,6,5,1,2,8,3,4]=>[4,3,8,2,1,5,6,7]=>0000000 [7,6,5,1,8,2,3,4]=>[4,3,2,8,1,5,6,7]=>0000000 [3,6,4,5,1,7,2,8]=>[8,2,7,1,5,4,6,3]=>0000000 [7,6,5,1,8,4,2,3]=>[3,2,4,8,1,5,6,7]=>0000000 [7,4,2,5,6,3,1,8]=>[8,1,3,6,5,2,4,7]=>0000000 [1,6,8,5,2,7,4,3]=>[3,4,7,2,5,8,6,1]=>0000000 [6,2,8,5,1,7,4,3]=>[3,4,7,1,5,8,2,6]=>0000000 [3,2,7,8,6,1,5,4]=>[4,5,1,6,8,7,2,3]=>0000000 [3,8,1,5,2,7,6,4]=>[4,6,7,2,5,1,8,3]=>0000000 [5,2,3,1,6,7,8,4]=>[4,8,7,6,1,3,2,5]=>0000000 [7,6,4,2,1,5,8,3]=>[3,8,5,1,2,4,6,7]=>0000000 [6,7,4,1,5,3,8,2]=>[2,8,3,5,1,4,7,6]=>0000000 [7,5,4,1,2,6,8,3]=>[3,8,6,2,1,4,5,7]=>0000000 [5,2,1,4,6,7,8,3]=>[3,8,7,6,4,1,2,5]=>0000000 [5,4,1,3,6,7,8,2]=>[2,8,7,6,3,1,4,5]=>0000000 [8,4,1,5,3,7,2,6]=>[6,2,7,3,5,1,4,8]=>0000001 [5,1,3,4,6,7,8,2]=>[2,8,7,6,4,3,1,5]=>0000000 [3,8,1,7,5,6,4,2]=>[2,4,6,5,7,1,8,3]=>0000000 [8,2,5,7,3,6,4,1]=>[1,4,6,3,7,5,2,8]=>1000001 [1,8,6,7,5,3,4,2]=>[2,4,3,5,7,6,8,1]=>0000000 [8,2,6,7,5,3,4,1]=>[1,4,3,5,7,6,2,8]=>1000001 [5,4,8,6,2,3,7,1]=>[1,7,3,2,6,8,4,5]=>1000000 [2,7,6,1,3,5,4,8]=>[8,4,5,3,1,6,7,2]=>0000000 [2,8,6,1,3,5,4,7]=>[7,4,5,3,1,6,8,2]=>0000000 [5,7,4,1,8,6,3,2]=>[2,3,6,8,1,4,7,5]=>0000000 [5,6,4,2,8,3,7,1]=>[1,7,3,8,2,4,6,5]=>1000000 [5,6,4,2,7,3,1,8]=>[8,1,3,7,2,4,6,5]=>0000000 [5,8,1,4,6,3,7,2]=>[2,7,3,6,4,1,8,5]=>0000000 [3,6,7,4,5,8,2,1]=>[1,2,8,5,4,7,6,3]=>1100000 [5,4,6,1,7,8,3,2]=>[2,3,8,7,1,6,4,5]=>0000000 [5,6,4,1,8,7,3,2]=>[2,3,7,8,1,4,6,5]=>0000000 [3,5,8,4,6,7,2,1]=>[1,2,7,6,4,8,5,3]=>1100000 [3,6,8,4,5,7,2,1]=>[1,2,7,5,4,8,6,3]=>1100000 [3,7,8,4,5,6,2,1]=>[1,2,6,5,4,8,7,3]=>1100000 [3,7,1,5,4,6,2,8]=>[8,2,6,4,5,1,7,3]=>0000000 [3,8,1,5,4,6,7,2]=>[2,7,6,4,5,1,8,3]=>0000000 [3,7,1,5,4,6,8,2]=>[2,8,6,4,5,1,7,3]=>0000000 [6,7,1,4,5,3,8,2]=>[2,8,3,5,4,1,7,6]=>0000000 [5,7,1,4,6,3,8,2]=>[2,8,3,6,4,1,7,5]=>0000000 [5,4,7,2,8,3,1,6]=>[6,1,3,8,2,7,4,5]=>0000000 [5,4,7,2,8,3,6,1]=>[1,6,3,8,2,7,4,5]=>1000000 [5,6,4,2,8,3,1,7]=>[7,1,3,8,2,4,6,5]=>0000000 [5,8,1,4,6,3,2,7]=>[7,2,3,6,4,1,8,5]=>0000000 [3,8,1,5,4,6,2,7]=>[7,2,6,4,5,1,8,3]=>0000000 [3,6,1,5,4,2,7,8]=>[8,7,2,4,5,1,6,3]=>0000000 [3,6,1,5,4,8,2,7]=>[7,2,8,4,5,1,6,3]=>0000000 [6,8,3,1,4,2,5,7]=>[7,5,2,4,1,3,8,6]=>0000000 [7,3,8,1,4,2,5,6]=>[6,5,2,4,1,8,3,7]=>0000000 [3,6,1,5,4,7,8,2]=>[2,8,7,4,5,1,6,3]=>0000000 [3,4,1,2,7,6,5,8]=>[8,5,6,7,2,1,4,3]=>0000000 [3,4,1,2,6,8,7,5]=>[5,7,8,6,2,1,4,3]=>0000000 [7,8,1,4,5,3,2,6]=>[6,2,3,5,4,1,8,7]=>0000010 [3,8,1,5,4,7,2,6]=>[6,2,7,4,5,1,8,3]=>0000000 [3,6,1,5,4,8,7,2]=>[2,7,8,4,5,1,6,3]=>0000000 [3,6,1,5,4,7,2,8]=>[8,2,7,4,5,1,6,3]=>0000000 [6,7,3,1,4,2,5,8]=>[8,5,2,4,1,3,7,6]=>0000000 [6,8,3,1,4,2,7,5]=>[5,7,2,4,1,3,8,6]=>0000000 [7,8,3,1,4,6,2,5]=>[5,2,6,4,1,3,8,7]=>0000010 [7,8,4,2,6,5,1,3]=>[3,1,5,6,2,4,8,7]=>0000010 [6,5,8,7,3,4,2,1]=>[1,2,4,3,7,8,5,6]=>1101000 [7,8,3,1,4,6,5,2]=>[2,5,6,4,1,3,8,7]=>0000010 [6,7,3,1,4,5,2,8]=>[8,2,5,4,1,3,7,6]=>0000000 [3,7,1,5,4,2,6,8]=>[8,6,2,4,5,1,7,3]=>0000000 [3,8,1,5,4,2,7,6]=>[6,7,2,4,5,1,8,3]=>0000000 [5,8,1,4,7,3,6,2]=>[2,6,3,7,4,1,8,5]=>0000000 [6,3,7,1,4,8,5,2]=>[2,5,8,4,1,7,3,6]=>0000000 [3,7,1,5,4,8,6,2]=>[2,6,8,4,5,1,7,3]=>0000000 [3,7,1,5,4,2,8,6]=>[6,8,2,4,5,1,7,3]=>0000000 [6,7,3,1,4,5,8,2]=>[2,8,5,4,1,3,7,6]=>0000000 [7,3,8,1,4,5,2,6]=>[6,2,5,4,1,8,3,7]=>0000000 [6,8,3,1,4,5,2,7]=>[7,2,5,4,1,3,8,6]=>0000000 [3,8,1,5,4,2,6,7]=>[7,6,2,4,5,1,8,3]=>0000000 [2,3,6,4,8,1,5,7]=>[7,5,1,8,4,6,3,2]=>0000000 [2,5,6,1,4,7,3,8]=>[8,3,7,4,1,6,5,2]=>0000000 [7,3,5,8,4,1,2,6]=>[6,2,1,4,8,5,3,7]=>0000000 [6,3,5,4,7,1,8,2]=>[2,8,1,7,4,5,3,6]=>0000000 [7,3,5,4,6,8,2,1]=>[1,2,8,6,4,5,3,7]=>1100000 [6,4,8,5,3,1,2,7]=>[7,2,1,3,5,8,4,6]=>0000000 [3,2,8,6,1,5,4,7]=>[7,4,5,1,6,8,2,3]=>0000000 [8,7,3,6,4,2,5,1]=>[1,5,2,4,6,3,7,8]=>1000011 [5,3,6,2,4,8,7,1]=>[1,7,8,4,2,6,3,5]=>1000000 [3,5,2,8,6,1,4,7]=>[7,4,1,6,8,2,5,3]=>0000000 [3,7,2,5,1,4,8,6]=>[6,8,4,1,5,2,7,3]=>0000000 [8,2,3,6,1,4,7,5]=>[5,7,4,1,6,3,2,8]=>0000001 [1,8,2,6,3,4,7,5]=>[5,7,4,3,6,2,8,1]=>0000000 [7,2,3,6,1,4,8,5]=>[5,8,4,1,6,3,2,7]=>0000000 [2,3,1,8,5,4,6,7]=>[7,6,4,5,8,1,3,2]=>0000000 [8,5,1,7,6,3,4,2]=>[2,4,3,6,7,1,5,8]=>0000001 [1,8,3,2,5,7,4,6]=>[6,4,7,5,2,3,8,1]=>0000000 [4,2,8,6,5,1,7,3]=>[3,7,1,5,6,8,2,4]=>0000000 [2,4,3,8,1,6,7,5]=>[5,7,6,1,8,3,4,2]=>0000000 [8,7,4,6,1,5,2,3]=>[3,2,5,1,6,4,7,8]=>0000011 [4,8,7,6,1,5,2,3]=>[3,2,5,1,6,7,8,4]=>0000000 [6,7,4,8,1,5,2,3]=>[3,2,5,1,8,4,7,6]=>0000000 [8,4,7,6,1,5,2,3]=>[3,2,5,1,6,7,4,8]=>0000001 [5,1,6,8,4,2,3,7]=>[7,3,2,4,8,6,1,5]=>0000000 [2,4,7,1,5,8,6,3]=>[3,6,8,5,1,7,4,2]=>0000000 [4,7,6,8,1,5,2,3]=>[3,2,5,1,8,6,7,4]=>0000000 [5,6,8,7,1,4,2,3]=>[3,2,4,1,7,8,6,5]=>0001000 [4,6,8,7,1,5,2,3]=>[3,2,5,1,7,8,6,4]=>0000000 [6,7,8,5,1,4,2,3]=>[3,2,4,1,5,8,7,6]=>0001100 [4,1,8,5,2,3,6,7]=>[7,6,3,2,5,8,1,4]=>0000000 [2,7,4,1,6,5,3,8]=>[8,3,5,6,1,4,7,2]=>0000000 [6,2,4,1,8,5,3,7]=>[7,3,5,8,1,4,2,6]=>0000000 [7,5,1,6,3,4,8,2]=>[2,8,4,3,6,1,5,7]=>0000000 [8,3,1,5,4,6,7,2]=>[2,7,6,4,5,1,3,8]=>0000001 [4,2,1,5,6,3,8,7]=>[7,8,3,6,5,1,2,4]=>0000000 [7,1,2,5,8,3,4,6]=>[6,4,3,8,5,2,1,7]=>0000000 [3,5,1,7,4,6,8,2]=>[2,8,6,4,7,1,5,3]=>0000000 [5,3,1,2,4,8,7,6]=>[6,7,8,4,2,1,3,5]=>0000000 [5,3,6,2,1,8,7,4]=>[4,7,8,1,2,6,3,5]=>0000000 [5,8,4,3,6,1,2,7]=>[7,2,1,6,3,4,8,5]=>0000000 [4,3,8,2,1,7,5,6]=>[6,5,7,1,2,8,3,4]=>0000000 [3,8,2,5,6,7,1,4]=>[4,1,7,6,5,2,8,3]=>0000000 [7,1,4,8,6,2,3,5]=>[5,3,2,6,8,4,1,7]=>0000000 [8,3,5,2,1,7,4,6]=>[6,4,7,1,2,5,3,8]=>0000001 [4,1,8,5,6,7,3,2]=>[2,3,7,6,5,8,1,4]=>0000000 [5,2,7,1,3,4,8,6]=>[6,8,4,3,1,7,2,5]=>0000000 [2,6,5,7,3,1,8,4]=>[4,8,1,3,7,5,6,2]=>0000000 [4,2,1,6,3,7,8,5]=>[5,8,7,3,6,1,2,4]=>0000000 [7,4,3,5,8,6,1,2]=>[2,1,6,8,5,3,4,7]=>0100000 [3,6,7,5,2,4,8,1]=>[1,8,4,2,5,7,6,3]=>1000000 [5,8,1,7,4,2,6,3]=>[3,6,2,4,7,1,8,5]=>0000000 [4,2,1,8,3,7,6,5]=>[5,6,7,3,8,1,2,4]=>0000000 [2,6,1,5,4,7,8,3]=>[3,8,7,4,5,1,6,2]=>0000000 [2,3,6,8,4,1,5,7]=>[7,5,1,4,8,6,3,2]=>0000000 [2,5,3,8,4,7,6,1]=>[1,6,7,4,8,3,5,2]=>1000000 [2,8,5,7,3,6,4,1]=>[1,4,6,3,7,5,8,2]=>1000000 [3,1,8,5,2,7,6,4]=>[4,6,7,2,5,8,1,3]=>0000000 [8,3,5,7,1,6,4,2]=>[2,4,6,1,7,5,3,8]=>0000001 [8,3,6,1,4,5,7,2]=>[2,7,5,4,1,6,3,8]=>0000001 [2,8,6,3,4,5,7,1]=>[1,7,5,4,3,6,8,2]=>1000000 [2,6,8,3,4,5,7,1]=>[1,7,5,4,3,8,6,2]=>1000000 [2,7,8,5,3,6,4,1]=>[1,4,6,3,5,8,7,2]=>1000000 [2,7,6,3,4,8,5,1]=>[1,5,8,4,3,6,7,2]=>1000000 [8,3,7,6,1,4,5,2]=>[2,5,4,1,6,7,3,8]=>0000001 [4,8,1,7,2,3,6,5]=>[5,6,3,2,7,1,8,4]=>0000000 [4,1,7,2,3,6,5,8]=>[8,5,6,3,2,7,1,4]=>0000000 [3,7,1,8,2,6,4,5]=>[5,4,6,2,8,1,7,3]=>0000000 [3,1,7,8,2,5,6,4]=>[4,6,5,2,8,7,1,3]=>0000000 [3,1,6,5,8,2,7,4]=>[4,7,2,8,5,6,1,3]=>0000000 [6,3,5,8,7,1,4,2]=>[2,4,1,7,8,5,3,6]=>0000000 [7,3,6,1,4,8,5,2]=>[2,5,8,4,1,6,3,7]=>0000000 [7,8,3,6,1,4,5,2]=>[2,5,4,1,6,3,8,7]=>0000010 [7,4,8,1,2,3,6,5]=>[5,6,3,2,1,8,4,7]=>0000000 [8,7,4,6,1,2,5,3]=>[3,5,2,1,6,4,7,8]=>0000011 [7,5,1,2,3,4,8,6]=>[6,8,4,3,2,1,5,7]=>0000000 [7,4,6,1,2,8,3,5]=>[5,3,8,2,1,6,4,7]=>0000000 [6,4,1,2,8,5,7,3]=>[3,7,5,8,2,1,4,6]=>0000000 [5,7,1,2,3,6,4,8]=>[8,4,6,3,2,1,7,5]=>0000000 [3,6,8,1,2,7,4,5]=>[5,4,7,2,1,8,6,3]=>0000000 [4,8,6,1,2,3,7,5]=>[5,7,3,2,1,6,8,4]=>0000000 [8,4,6,1,2,3,7,5]=>[5,7,3,2,1,6,4,8]=>0000001 [4,8,1,5,2,7,3,6]=>[6,3,7,2,5,1,8,4]=>0000000 [4,1,2,5,3,8,7,6]=>[6,7,8,3,5,2,1,4]=>0000000 [3,1,4,8,7,5,2,6]=>[6,2,5,7,8,4,1,3]=>0000000 [4,3,6,8,7,5,1,2]=>[2,1,5,7,8,6,3,4]=>0100000 [5,4,1,8,2,7,6,3]=>[3,6,7,2,8,1,4,5]=>0000000 [5,4,1,8,2,7,3,6]=>[6,3,7,2,8,1,4,5]=>0000000 [8,6,7,4,1,2,5,3]=>[3,5,2,1,4,7,6,8]=>0000101 [6,4,8,1,2,5,3,7]=>[7,3,5,2,1,8,4,6]=>0000000 [6,7,3,1,4,8,5,2]=>[2,5,8,4,1,3,7,6]=>0000000 [5,6,3,8,7,1,4,2]=>[2,4,1,7,8,3,6,5]=>0000000 [6,7,4,1,2,8,3,5]=>[5,3,8,2,1,4,7,6]=>0000000 [6,5,1,2,3,7,8,4]=>[4,8,7,3,2,1,5,6]=>0000000 [6,5,1,2,3,4,8,7]=>[7,8,4,3,2,1,5,6]=>0000000 [8,6,5,1,2,3,7,4]=>[4,7,3,2,1,5,6,8]=>0000001 [6,5,1,2,3,7,4,8]=>[8,4,7,3,2,1,5,6]=>0000000 [6,7,4,1,2,5,3,8]=>[8,3,5,2,1,4,7,6]=>0000000 [7,8,6,4,1,2,5,3]=>[3,5,2,1,4,6,8,7]=>0000110 [4,2,6,7,5,8,3,1]=>[1,3,8,5,7,6,2,4]=>1000000 [6,7,5,2,1,8,4,3]=>[3,4,8,1,2,5,7,6]=>0000000 [5,6,8,3,1,7,2,4]=>[4,2,7,1,3,8,6,5]=>0000000 [3,4,6,8,2,1,5,7]=>[7,5,1,2,8,6,4,3]=>0000000 [4,2,5,7,3,8,6,1]=>[1,6,8,3,7,5,2,4]=>1000000 [6,4,3,7,8,2,5,1]=>[1,5,2,8,7,3,4,6]=>1000000 [6,4,3,1,7,8,2,5]=>[5,2,8,7,1,3,4,6]=>0000000 [7,1,3,5,4,8,2,6]=>[6,2,8,4,5,3,1,7]=>0000000 [4,6,3,7,8,5,2,1]=>[1,2,5,8,7,3,6,4]=>1100000 [1,5,3,6,7,8,4,2]=>[2,4,8,7,6,3,5,1]=>0000000 [4,6,1,7,3,8,5,2]=>[2,5,8,3,7,1,6,4]=>0000000 [3,5,7,2,1,8,6,4]=>[4,6,8,1,2,7,5,3]=>0000000 [6,7,8,3,2,5,1,4]=>[4,1,5,2,3,8,7,6]=>0000100 [6,3,7,8,2,5,4,1]=>[1,4,5,2,8,7,3,6]=>1000000 [6,2,4,7,1,8,5,3]=>[3,5,8,1,7,4,2,6]=>0000000 [2,5,7,8,1,6,3,4]=>[4,3,6,1,8,7,5,2]=>0000000 [2,5,6,1,7,8,4,3]=>[3,4,8,7,1,6,5,2]=>0000000 [5,6,1,2,7,8,4,3]=>[3,4,8,7,2,1,6,5]=>0000000 [8,6,2,7,4,5,3,1]=>[1,3,5,4,7,2,6,8]=>1000001 [6,8,2,7,4,5,3,1]=>[1,3,5,4,7,2,8,6]=>1000000 [2,6,4,5,8,7,3,1]=>[1,3,7,8,5,4,6,2]=>1000000 [8,2,4,6,7,5,3,1]=>[1,3,5,7,6,4,2,8]=>1000001 [4,2,6,5,8,7,3,1]=>[1,3,7,8,5,6,2,4]=>1000000 [8,2,6,7,4,5,3,1]=>[1,3,5,4,7,6,2,8]=>1000001 [6,4,5,8,7,2,3,1]=>[1,3,2,7,8,5,4,6]=>1010000 [6,4,8,7,2,5,3,1]=>[1,3,5,2,7,8,4,6]=>1000000 [4,6,5,8,7,2,3,1]=>[1,3,2,7,8,5,6,4]=>1010000 [2,1,6,8,4,7,5,3]=>[3,5,7,4,8,6,1,2]=>0000000 [2,8,6,4,7,5,3,1]=>[1,3,5,7,4,6,8,2]=>1000000 [3,7,8,5,6,1,2,4]=>[4,2,1,6,5,8,7,3]=>0000000 [3,6,1,8,4,7,2,5]=>[5,2,7,4,8,1,6,3]=>0000000 [3,1,6,8,4,7,2,5]=>[5,2,7,4,8,6,1,3]=>0000000 [4,1,6,8,3,2,7,5]=>[5,7,2,3,8,6,1,4]=>0000000 [4,6,1,8,3,2,7,5]=>[5,7,2,3,8,1,6,4]=>0000000 [4,7,8,1,3,2,6,5]=>[5,6,2,3,1,8,7,4]=>0000000 [4,7,8,3,1,2,6,5]=>[5,6,2,1,3,8,7,4]=>0000000 [2,7,8,3,4,6,5,1]=>[1,5,6,4,3,8,7,2]=>1000000 [4,7,8,2,1,3,6,5]=>[5,6,3,1,2,8,7,4]=>0000000 [4,6,1,8,2,3,7,5]=>[5,7,3,2,8,1,6,4]=>0000000 [4,5,2,1,8,3,7,6]=>[6,7,3,8,1,2,5,4]=>0000000 [4,6,2,8,1,3,7,5]=>[5,7,3,1,8,2,6,4]=>0000000 [3,6,2,8,4,7,1,5]=>[5,1,7,4,8,2,6,3]=>0000000 [2,3,6,8,4,7,5,1]=>[1,5,7,4,8,6,3,2]=>1000000 [3,2,6,8,4,7,1,5]=>[5,1,7,4,8,6,2,3]=>0000000 [4,2,6,8,3,1,7,5]=>[5,7,1,3,8,6,2,4]=>0000000 [4,2,5,1,8,3,7,6]=>[6,7,3,8,1,5,2,4]=>0000000 [5,1,2,4,3,8,7,6]=>[6,7,8,3,4,2,1,5]=>0000000 [5,2,4,1,3,8,7,6]=>[6,7,8,3,1,4,2,5]=>0000000 [4,2,5,3,8,1,7,6]=>[6,7,1,8,3,5,2,4]=>0000000 [3,2,5,4,8,7,1,6]=>[6,1,7,8,4,5,2,3]=>0000000 [3,5,2,4,8,7,1,6]=>[6,1,7,8,4,2,5,3]=>0000000 [5,1,4,2,3,8,7,6]=>[6,7,8,3,2,4,1,5]=>0000000 [5,4,3,1,2,8,7,6]=>[6,7,8,2,1,3,4,5]=>0000000 [4,5,3,1,8,2,7,6]=>[6,7,2,8,1,3,5,4]=>0000000 [4,5,1,3,8,2,7,6]=>[6,7,2,8,3,1,5,4]=>0000000 [3,1,5,4,8,7,2,6]=>[6,2,7,8,4,5,1,3]=>0000000 [3,5,4,1,8,7,2,6]=>[6,2,7,8,1,4,5,3]=>0000000 [3,6,5,8,7,1,2,4]=>[4,2,1,7,8,5,6,3]=>0000000 [3,4,1,5,8,7,2,6]=>[6,2,7,8,5,1,4,3]=>0000000 [4,1,3,5,8,2,7,6]=>[6,7,2,8,5,3,1,4]=>0000000 [4,3,6,8,2,1,7,5]=>[5,7,1,2,8,6,3,4]=>0000000 [2,4,6,8,3,7,5,1]=>[1,5,7,3,8,6,4,2]=>1000000 [3,4,5,2,8,7,1,6]=>[6,1,7,8,2,5,4,3]=>0000000 [5,3,1,4,2,8,7,6]=>[6,7,8,2,4,1,3,5]=>0000000 [5,1,3,4,2,8,7,6]=>[6,7,8,2,4,3,1,5]=>0000000 [5,1,3,2,4,8,7,6]=>[6,7,8,4,2,3,1,5]=>0000000 [5,3,2,1,4,8,7,6]=>[6,7,8,4,1,2,3,5]=>0000000 [4,3,2,5,8,1,7,6]=>[6,7,1,8,5,2,3,4]=>0000000 [3,4,2,5,8,7,1,6]=>[6,1,7,8,5,2,4,3]=>0000000 [3,2,4,5,8,7,1,6]=>[6,1,7,8,5,4,2,3]=>0000000 [4,2,3,5,8,1,7,6]=>[6,7,1,8,5,3,2,4]=>0000000 [5,2,3,1,4,8,7,6]=>[6,7,8,4,1,3,2,5]=>0000000 [5,2,1,3,4,8,7,6]=>[6,7,8,4,3,1,2,5]=>0000000 [4,1,6,7,5,8,2,3]=>[3,2,8,5,7,6,1,4]=>0000000 [5,8,7,6,1,2,4,3]=>[3,4,2,1,6,7,8,5]=>0001000 [4,2,7,3,6,1,8,5]=>[5,8,1,6,3,7,2,4]=>0000000 [2,8,6,5,3,7,1,4]=>[4,1,7,3,5,6,8,2]=>0000000 [3,2,6,1,4,5,8,7]=>[7,8,5,4,1,6,2,3]=>0000000 [5,8,7,6,2,3,4,1]=>[1,4,3,2,6,7,8,5]=>1001000 [8,1,7,2,4,5,3,6]=>[6,3,5,4,2,7,1,8]=>0000001 [8,1,3,5,4,2,6,7]=>[7,6,2,4,5,3,1,8]=>0000001 [8,1,5,3,4,2,6,7]=>[7,6,2,4,3,5,1,8]=>0000001 [8,1,5,6,2,3,7,4]=>[4,7,3,2,6,5,1,8]=>0000001 [8,1,4,5,3,2,6,7]=>[7,6,2,3,5,4,1,8]=>0000001 [8,1,4,3,5,2,6,7]=>[7,6,2,5,3,4,1,8]=>0000001 [7,2,1,4,5,3,6,8]=>[8,6,3,5,4,1,2,7]=>0000000 [3,7,1,4,5,2,6,8]=>[8,6,2,5,4,1,7,3]=>0000000 [6,7,1,2,8,3,5,4]=>[4,5,3,8,2,1,7,6]=>0000000 [5,6,3,1,2,7,4,8]=>[8,4,7,2,1,3,6,5]=>0000000 [4,2,5,3,1,6,7,8]=>[8,7,6,1,3,5,2,4]=>0000000 [6,1,7,5,3,8,4,2]=>[2,4,8,3,5,7,1,6]=>0000000 [5,8,7,3,2,6,4,1]=>[1,4,6,2,3,7,8,5]=>1000000 [6,8,7,2,5,1,3,4]=>[4,3,1,5,2,7,8,6]=>0000100 [5,8,7,2,1,6,3,4]=>[4,3,6,1,2,7,8,5]=>0000000 [7,1,2,8,5,6,3,4]=>[4,3,6,5,8,2,1,7]=>0000000 [8,7,2,1,5,6,3,4]=>[4,3,6,5,1,2,7,8]=>0000011 [6,4,5,8,3,2,7,1]=>[1,7,2,3,8,5,4,6]=>1000000 [6,1,8,3,5,2,7,4]=>[4,7,2,5,3,8,1,6]=>0000000 [7,6,8,3,5,2,1,4]=>[4,1,2,5,3,8,6,7]=>0000100 [8,7,1,3,5,6,2,4]=>[4,2,6,5,3,1,7,8]=>0000011 [5,8,2,4,3,6,7,1]=>[1,7,6,3,4,2,8,5]=>1000000 [8,6,5,1,4,3,7,2]=>[2,7,3,4,1,5,6,8]=>0000001 [2,4,8,6,1,3,7,5]=>[5,7,3,1,6,8,4,2]=>0000000 [6,7,1,8,4,3,5,2]=>[2,5,3,4,8,1,7,6]=>0000000 [4,1,7,6,3,8,2,5]=>[5,2,8,3,6,7,1,4]=>0000000 [4,8,2,5,7,6,3,1]=>[1,3,6,7,5,2,8,4]=>1000000 [2,6,7,5,1,8,4,3]=>[3,4,8,1,5,7,6,2]=>0000000 [7,6,5,2,8,3,4,1]=>[1,4,3,8,2,5,6,7]=>1000000 [8,1,3,5,7,4,6,2]=>[2,6,4,7,5,3,1,8]=>0000001 [2,5,8,4,6,7,3,1]=>[1,3,7,6,4,8,5,2]=>1000000 [2,4,8,1,6,7,3,5]=>[5,3,7,6,1,8,4,2]=>0000000 [1,8,5,6,2,4,3,7]=>[7,3,4,2,6,5,8,1]=>0000000 [5,4,8,2,3,6,1,7]=>[7,1,6,3,2,8,4,5]=>0000000 [5,8,7,4,1,2,3,6]=>[6,3,2,1,4,7,8,5]=>0000000 [7,4,8,6,1,2,3,5]=>[5,3,2,1,6,8,4,7]=>0000000 [4,7,6,1,2,3,5,8]=>[8,5,3,2,1,6,7,4]=>0000000 [8,5,7,4,1,2,3,6]=>[6,3,2,1,4,7,5,8]=>0000001 [7,4,8,5,1,6,2,3]=>[3,2,6,1,5,8,4,7]=>0000000 [8,6,4,1,2,7,3,5]=>[5,3,7,2,1,4,6,8]=>0000001 [7,5,8,1,3,6,2,4]=>[4,2,6,3,1,8,5,7]=>0000000 [5,7,1,3,8,2,4,6]=>[6,4,2,8,3,1,7,5]=>0000000 [7,1,5,8,6,2,3,4]=>[4,3,2,6,8,5,1,7]=>0000000 [4,1,8,7,2,3,5,6]=>[6,5,3,2,7,8,1,4]=>0000000 [7,1,5,8,3,4,2,6]=>[6,2,4,3,8,5,1,7]=>0000000 [7,1,4,3,2,5,6,8]=>[8,6,5,2,3,4,1,7]=>0000000 [7,1,4,6,3,8,2,5]=>[5,2,8,3,6,4,1,7]=>0000000 [3,4,7,2,6,8,5,1]=>[1,5,8,6,2,7,4,3]=>1000000 [6,4,2,3,8,5,1,7]=>[7,1,5,8,3,2,4,6]=>0000000 [6,4,2,7,5,3,1,8]=>[8,1,3,5,7,2,4,6]=>0000000 [5,4,7,3,6,8,2,1]=>[1,2,8,6,3,7,4,5]=>1100000 [4,8,7,3,5,1,2,6]=>[6,2,1,5,3,7,8,4]=>0000000 [3,4,7,1,6,2,8,5]=>[5,8,2,6,1,7,4,3]=>0000000 [5,8,3,4,2,6,7,1]=>[1,7,6,2,4,3,8,5]=>1000000 [6,4,3,7,5,1,2,8]=>[8,2,1,5,7,3,4,6]=>0000000 [5,3,6,2,4,7,8,1]=>[1,8,7,4,2,6,3,5]=>1000000 [5,3,7,2,4,6,8,1]=>[1,8,6,4,2,7,3,5]=>1000000 [4,3,1,5,7,8,2,6]=>[6,2,8,7,5,1,3,4]=>0000000 [3,2,1,8,5,7,4,6]=>[6,4,7,5,8,1,2,3]=>0000000 [6,7,2,1,8,4,5,3]=>[3,5,4,8,1,2,7,6]=>0000000 [4,2,1,7,8,3,6,5]=>[5,6,3,8,7,1,2,4]=>0000000 [7,4,8,6,2,5,3,1]=>[1,3,5,2,6,8,4,7]=>1000000 [7,3,8,6,2,4,5,1]=>[1,5,4,2,6,8,3,7]=>1000000 [7,4,3,1,8,2,5,6]=>[6,5,2,8,1,3,4,7]=>0000000 [7,4,2,8,5,6,1,3]=>[3,1,6,5,8,2,4,7]=>0000000 [7,3,8,5,2,4,6,1]=>[1,6,4,2,5,8,3,7]=>1000000 [6,3,8,2,4,5,1,7]=>[7,1,5,4,2,8,3,6]=>0000000 [6,3,8,2,5,7,4,1]=>[1,4,7,5,2,8,3,6]=>1000000 [5,6,7,3,8,2,4,1]=>[1,4,2,8,3,7,6,5]=>1000000 [5,3,8,2,4,6,7,1]=>[1,7,6,4,2,8,3,5]=>1000000 [6,3,8,2,4,7,5,1]=>[1,5,7,4,2,8,3,6]=>1000000 [5,7,4,2,6,8,1,3]=>[3,1,8,6,2,4,7,5]=>0000000 [6,5,3,1,4,2,7,8]=>[8,7,2,4,1,3,5,6]=>0000000 [5,7,4,2,6,1,3,8]=>[8,3,1,6,2,4,7,5]=>0000000 [5,6,4,2,3,8,1,7]=>[7,1,8,3,2,4,6,5]=>0000000 [5,6,3,7,8,2,4,1]=>[1,4,2,8,7,3,6,5]=>1000000 [5,6,3,8,2,4,7,1]=>[1,7,4,2,8,3,6,5]=>1000000 [6,3,7,2,4,5,1,8]=>[8,1,5,4,2,7,3,6]=>0000000 [6,3,7,2,5,8,4,1]=>[1,4,8,5,2,7,3,6]=>1000000 [5,3,6,8,2,4,7,1]=>[1,7,4,2,8,6,3,5]=>1000000 [5,3,6,7,8,2,4,1]=>[1,4,2,8,7,6,3,5]=>1000000 [3,5,8,6,4,2,1,7]=>[7,1,2,4,6,8,5,3]=>0000000 [5,8,6,4,2,1,3,7]=>[7,3,1,2,4,6,8,5]=>0000000 [4,3,8,5,7,6,2,1]=>[1,2,6,7,5,8,3,4]=>1100000 [8,5,3,7,6,2,4,1]=>[1,4,2,6,7,3,5,8]=>1000001 [2,1,6,4,3,7,8,5]=>[5,8,7,3,4,6,1,2]=>0000000 [6,3,7,8,4,2,1,5]=>[5,1,2,4,8,7,3,6]=>0000000 [1,7,6,3,4,2,8,5]=>[5,8,2,4,3,6,7,1]=>0000000 [5,1,8,3,2,6,7,4]=>[4,7,6,2,3,8,1,5]=>0000000 [5,8,7,2,1,4,6,3]=>[3,6,4,1,2,7,8,5]=>0000000 [7,8,6,1,3,4,5,2]=>[2,5,4,3,1,6,8,7]=>0000110 [7,6,8,1,3,4,5,2]=>[2,5,4,3,1,8,6,7]=>0000100 [1,6,8,3,2,5,7,4]=>[4,7,5,2,3,8,6,1]=>0000000 [8,4,2,7,1,5,6,3]=>[3,6,5,1,7,2,4,8]=>0000001 [6,4,2,8,3,1,7,5]=>[5,7,1,3,8,2,4,6]=>0000000 [4,1,3,2,5,7,8,6]=>[6,8,7,5,2,3,1,4]=>0000000 [8,7,5,2,6,3,4,1]=>[1,4,3,6,2,5,7,8]=>1000011 [8,6,5,2,7,3,4,1]=>[1,4,3,7,2,5,6,8]=>1000001 [6,3,8,5,4,7,1,2]=>[2,1,7,4,5,8,3,6]=>0100000 [5,6,1,8,4,3,2,7]=>[7,2,3,4,8,1,6,5]=>0000000 [6,1,2,5,8,3,7,4]=>[4,7,3,8,5,2,1,6]=>0000000 [1,2,7,5,8,3,6,4]=>[4,6,3,8,5,7,2,1]=>0000000 [1,2,6,4,7,8,5,3]=>[3,5,8,7,4,6,2,1]=>0000000 [4,1,6,3,8,7,2,5]=>[5,2,7,8,3,6,1,4]=>0000000 [7,5,1,8,4,3,2,6]=>[6,2,3,4,8,1,5,7]=>0000000 [3,2,6,7,8,1,5,4]=>[4,5,1,8,7,6,2,3]=>0000000 [2,5,7,4,3,8,6,1]=>[1,6,8,3,4,7,5,2]=>1000000 [4,6,3,7,2,8,5,1]=>[1,5,8,2,7,3,6,4]=>1000000 [5,3,7,8,2,4,1,6]=>[6,1,4,2,8,7,3,5]=>0000000 [3,2,4,8,1,5,6,7]=>[7,6,5,1,8,4,2,3]=>0000000 [7,2,4,8,3,1,5,6]=>[6,5,1,3,8,4,2,7]=>0000000 [5,3,8,7,2,4,1,6]=>[6,1,4,2,7,8,3,5]=>0000000 [2,4,8,7,3,1,5,6]=>[6,5,1,3,7,8,4,2]=>0000000 [3,1,7,4,2,8,6,5]=>[5,6,8,2,4,7,1,3]=>0000000 [4,7,6,8,2,3,1,5]=>[5,1,3,2,8,6,7,4]=>0000000 [8,1,6,4,2,3,7,5]=>[5,7,3,2,4,6,1,8]=>0000001 [4,7,8,6,2,3,1,5]=>[5,1,3,2,6,8,7,4]=>0000000 [7,1,6,4,2,3,8,5]=>[5,8,3,2,4,6,1,7]=>0000000 [4,8,7,6,2,3,1,5]=>[5,1,3,2,6,7,8,4]=>0000000 [6,8,7,5,2,3,1,4]=>[4,1,3,2,5,7,8,6]=>0001100 [4,3,6,5,1,8,7,2]=>[2,7,8,1,5,6,3,4]=>0000000 [2,6,5,8,3,1,7,4]=>[4,7,1,3,8,5,6,2]=>0000000 [4,6,1,5,8,3,7,2]=>[2,7,3,8,5,1,6,4]=>0000000 [4,1,6,5,8,3,7,2]=>[2,7,3,8,5,6,1,4]=>0000000 [6,4,3,8,7,1,5,2]=>[2,5,1,7,8,3,4,6]=>0000000 [2,6,8,5,3,7,1,4]=>[4,1,7,3,5,8,6,2]=>0000000 [4,6,8,1,5,7,3,2]=>[2,3,7,5,1,8,6,4]=>0000000 [4,6,3,8,5,7,1,2]=>[2,1,7,5,8,3,6,4]=>0100000 [4,3,6,1,8,5,7,2]=>[2,7,5,8,1,6,3,4]=>0000000 [4,1,3,6,8,7,5,2]=>[2,5,7,8,6,3,1,4]=>0000000 [4,3,6,1,8,7,5,2]=>[2,5,7,8,1,6,3,4]=>0000000 [4,3,6,8,1,7,5,2]=>[2,5,7,1,8,6,3,4]=>0000000 [6,2,5,8,7,1,3,4]=>[4,3,1,7,8,5,2,6]=>0000000 [4,6,3,8,1,7,5,2]=>[2,5,7,1,8,3,6,4]=>0000000 [6,2,8,5,7,1,3,4]=>[4,3,1,7,5,8,2,6]=>0000000 [1,6,4,8,7,3,5,2]=>[2,5,3,7,8,4,6,1]=>0000000 [4,6,2,3,7,5,1,8]=>[8,1,5,7,3,2,6,4]=>0000000 [5,3,2,6,4,7,1,8]=>[8,1,7,4,6,2,3,5]=>0000000 [3,6,8,4,2,1,5,7]=>[7,5,1,2,4,8,6,3]=>0000000 [4,3,2,6,1,8,5,7]=>[7,5,8,1,6,2,3,4]=>0000000 [7,8,1,4,3,5,2,6]=>[6,2,5,3,4,1,8,7]=>0000010 [8,4,2,5,3,1,6,7]=>[7,6,1,3,5,2,4,8]=>0000001 [4,3,2,5,1,8,6,7]=>[7,6,8,1,5,2,3,4]=>0000000 [7,1,8,3,5,4,2,6]=>[6,2,4,5,3,8,1,7]=>0000000 [8,6,2,3,4,1,7,5]=>[5,7,1,4,3,2,6,8]=>0000001 [4,8,7,5,3,6,1,2]=>[2,1,6,3,5,7,8,4]=>0100000 [5,8,4,2,1,6,7,3]=>[3,7,6,1,2,4,8,5]=>0000000 [5,3,7,2,6,1,8,4]=>[4,8,1,6,2,7,3,5]=>0000000 [2,8,7,6,4,1,3,5]=>[5,3,1,4,6,7,8,2]=>0000000 [7,8,2,6,5,3,1,4]=>[4,1,3,5,6,2,8,7]=>0000010 [2,8,7,6,4,3,1,5]=>[5,1,3,4,6,7,8,2]=>0000000 [3,8,7,6,1,2,5,4]=>[4,5,2,1,6,7,8,3]=>0000000 [4,8,7,6,1,3,2,5]=>[5,2,3,1,6,7,8,4]=>0000000 [3,8,7,6,4,1,2,5]=>[5,2,1,4,6,7,8,3]=>0000000 [7,8,3,6,5,1,2,4]=>[4,2,1,5,6,3,8,7]=>0000010 [8,3,4,2,6,1,7,5]=>[5,7,1,6,2,4,3,8]=>0000001 [2,7,8,3,5,4,1,6]=>[6,1,4,5,3,8,7,2]=>0000000 [4,7,1,2,8,5,3,6]=>[6,3,5,8,2,1,7,4]=>0000000 [2,1,6,3,7,5,4,8]=>[8,4,5,7,3,6,1,2]=>0000000 [7,4,1,2,6,5,3,8]=>[8,3,5,6,2,1,4,7]=>0000000 [6,8,3,2,5,1,4,7]=>[7,4,1,5,2,3,8,6]=>0000000 [8,6,1,4,5,2,3,7]=>[7,3,2,5,4,1,6,8]=>0000001 [8,6,3,1,5,2,4,7]=>[7,4,2,5,1,3,6,8]=>0000001 [8,4,6,1,5,2,3,7]=>[7,3,2,5,1,6,4,8]=>0000001 [8,2,7,5,1,3,4,6]=>[6,4,3,1,5,7,2,8]=>0000001 [8,4,1,7,5,2,3,6]=>[6,3,2,5,7,1,4,8]=>0000001 [8,2,6,1,5,7,3,4]=>[4,3,7,5,1,6,2,8]=>0000001 [5,7,6,1,8,2,3,4]=>[4,3,2,8,1,6,7,5]=>0000000 [8,1,6,4,7,2,3,5]=>[5,3,2,7,4,6,1,8]=>0000001 [8,5,1,7,3,2,4,6]=>[6,4,2,3,7,1,5,8]=>0000001 [8,4,5,1,7,2,3,6]=>[6,3,2,7,1,5,4,8]=>0000001 [7,3,1,8,5,6,2,4]=>[4,2,6,5,8,1,3,7]=>0000000 [7,4,3,8,1,2,6,5]=>[5,6,2,1,8,3,4,7]=>0000000 [8,2,3,6,7,1,5,4]=>[4,5,1,7,6,3,2,8]=>0000001 [6,8,5,2,3,4,7,1]=>[1,7,4,3,2,5,8,6]=>1000000 [5,7,3,4,6,8,1,2]=>[2,1,8,6,4,3,7,5]=>0100000 [5,7,3,1,4,8,6,2]=>[2,6,8,4,1,3,7,5]=>0000000 [5,3,7,1,4,2,8,6]=>[6,8,2,4,1,7,3,5]=>0000000 [7,8,3,5,1,2,6,4]=>[4,6,2,1,5,3,8,7]=>0000010 [3,7,5,1,2,6,4,8]=>[8,4,6,2,1,5,7,3]=>0000000 [2,6,4,8,7,5,1,3]=>[3,1,5,7,8,4,6,2]=>0000000 [6,2,4,8,7,5,1,3]=>[3,1,5,7,8,4,2,6]=>0000000 [2,5,1,4,7,3,8,6]=>[6,8,3,7,4,1,5,2]=>0000000 [7,1,4,2,8,6,5,3]=>[3,5,6,8,2,4,1,7]=>0000000 [3,6,2,4,1,8,7,5]=>[5,7,8,1,4,2,6,3]=>0000000 [3,4,5,1,8,7,6,2]=>[2,6,7,8,1,5,4,3]=>0000000 [1,5,8,3,2,7,6,4]=>[4,6,7,2,3,8,5,1]=>0000000 [7,5,1,2,8,6,4,3]=>[3,4,6,8,2,1,5,7]=>0000000 [4,6,1,2,8,7,5,3]=>[3,5,7,8,2,1,6,4]=>0000000 [6,4,1,2,8,7,5,3]=>[3,5,7,8,2,1,4,6]=>0000000 [4,1,2,8,3,7,6,5]=>[5,6,7,3,8,2,1,4]=>0000000 [2,1,7,8,4,6,3,5]=>[5,3,6,4,8,7,1,2]=>0000000 [3,5,8,7,2,6,4,1]=>[1,4,6,2,7,8,5,3]=>1000000 [5,8,2,7,1,6,4,3]=>[3,4,6,1,7,2,8,5]=>0000000 [2,1,6,4,5,8,3,7]=>[7,3,8,5,4,6,1,2]=>0000000 [8,6,3,7,5,2,1,4]=>[4,1,2,5,7,3,6,8]=>0000001 [4,6,3,8,5,2,1,7]=>[7,1,2,5,8,3,6,4]=>0000000 [4,6,3,7,5,2,8,1]=>[1,8,2,5,7,3,6,4]=>1000000 [3,5,7,8,2,6,1,4]=>[4,1,6,2,8,7,5,3]=>0000000 [5,6,2,4,1,3,8,7]=>[7,8,3,1,4,2,6,5]=>0000000 [7,6,3,8,5,2,4,1]=>[1,4,2,5,8,3,6,7]=>1000000 [8,2,3,4,6,1,5,7]=>[7,5,1,6,4,3,2,8]=>0000001 [7,2,3,4,6,1,8,5]=>[5,8,1,6,4,3,2,7]=>0000000 [8,2,3,4,7,5,1,6]=>[6,1,5,7,4,3,2,8]=>0000001 [7,8,3,6,5,1,4,2]=>[2,4,1,5,6,3,8,7]=>0000010 [4,2,3,6,1,5,8,7]=>[7,8,5,1,6,3,2,4]=>0000000 [4,8,3,7,5,1,6,2]=>[2,6,1,5,7,3,8,4]=>0000000 [8,2,3,4,7,1,6,5]=>[5,6,1,7,4,3,2,8]=>0000001 [3,8,6,4,5,1,2,7]=>[7,2,1,5,4,6,8,3]=>0000000 [4,7,3,6,5,8,2,1]=>[1,2,8,5,6,3,7,4]=>1100000 [4,8,3,7,5,2,1,6]=>[6,1,2,5,7,3,8,4]=>0000000 [8,7,3,6,5,1,2,4]=>[4,2,1,5,6,3,7,8]=>0000011 [8,2,7,5,1,6,3,4]=>[4,3,6,1,5,7,2,8]=>0000001 [5,8,1,7,3,6,4,2]=>[2,4,6,3,7,1,8,5]=>0000000 [5,2,7,8,4,6,3,1]=>[1,3,6,4,8,7,2,5]=>1000000 [5,2,8,3,7,6,1,4]=>[4,1,6,7,3,8,2,5]=>0000000 [8,2,7,3,1,6,4,5]=>[5,4,6,1,3,7,2,8]=>0000001 [6,8,3,2,5,7,1,4]=>[4,1,7,5,2,3,8,6]=>0000000 [6,7,3,8,5,4,2,1]=>[1,2,4,5,8,3,7,6]=>1100000 [6,2,3,4,7,5,8,1]=>[1,8,5,7,4,3,2,6]=>1000000 [8,2,3,4,1,7,5,6]=>[6,5,7,1,4,3,2,8]=>0000001 [6,2,3,4,1,8,5,7]=>[7,5,8,1,4,3,2,6]=>0000000 [6,2,3,4,8,7,5,1]=>[1,5,7,8,4,3,2,6]=>1000000 [6,8,3,1,5,7,4,2]=>[2,4,7,5,1,3,8,6]=>0000000 [8,7,2,5,1,4,6,3]=>[3,6,4,1,5,2,7,8]=>0000011 [4,8,7,2,5,1,6,3]=>[3,6,1,5,2,7,8,4]=>0000000 [8,7,1,4,2,5,6,3]=>[3,6,5,2,4,1,7,8]=>0000011 [3,5,8,7,1,2,6,4]=>[4,6,2,1,7,8,5,3]=>0000000 [3,5,8,7,1,6,2,4]=>[4,2,6,1,7,8,5,3]=>0000000 [8,7,4,1,2,6,5,3]=>[3,5,6,2,1,4,7,8]=>0000011 [5,7,1,8,2,6,3,4]=>[4,3,6,2,8,1,7,5]=>0000000 [2,8,7,1,5,6,3,4]=>[4,3,6,5,1,7,8,2]=>0000000 [1,6,2,8,4,7,5,3]=>[3,5,7,4,8,2,6,1]=>0000000 [1,3,8,5,7,2,6,4]=>[4,6,2,7,5,8,3,1]=>0000000 [1,8,3,7,2,5,6,4]=>[4,6,5,2,7,3,8,1]=>0000000 [2,8,7,1,3,5,6,4]=>[4,6,5,3,1,7,8,2]=>0000000 [8,6,3,7,4,1,5,2]=>[2,5,1,4,7,3,6,8]=>0000001 [4,2,8,6,7,5,1,3]=>[3,1,5,7,6,8,2,4]=>0000000 [8,4,2,7,5,6,1,3]=>[3,1,6,5,7,2,4,8]=>0000001 [4,8,3,6,1,7,5,2]=>[2,5,7,1,6,3,8,4]=>0000000 [8,3,4,7,5,1,6,2]=>[2,6,1,5,7,4,3,8]=>0000001 [8,3,7,4,5,1,6,2]=>[2,6,1,5,4,7,3,8]=>0000001 [8,7,4,2,5,6,1,3]=>[3,1,6,5,2,4,7,8]=>0000011 [8,7,5,1,6,2,3,4]=>[4,3,2,6,1,5,7,8]=>0000011 [8,7,2,4,1,5,6,3]=>[3,6,5,1,4,2,7,8]=>0000011 [4,8,6,1,7,2,5,3]=>[3,5,2,7,1,6,8,4]=>0000000 [4,2,8,6,7,1,5,3]=>[3,5,1,7,6,8,2,4]=>0000000 [8,7,4,1,2,5,6,3]=>[3,6,5,2,1,4,7,8]=>0000011 [8,2,7,1,6,3,4,5]=>[5,4,3,6,1,7,2,8]=>0000001 [8,2,7,1,3,6,4,5]=>[5,4,6,3,1,7,2,8]=>0000001 [2,8,3,6,7,1,5,4]=>[4,5,1,7,6,3,8,2]=>0000000 [8,7,2,1,3,5,6,4]=>[4,6,5,3,1,2,7,8]=>0000011 [1,8,7,2,3,6,4,5]=>[5,4,6,3,2,7,8,1]=>0000000 [1,8,7,2,6,3,4,5]=>[5,4,3,6,2,7,8,1]=>0000000 [8,2,7,3,6,1,4,5]=>[5,4,1,6,3,7,2,8]=>0000001 [1,8,7,3,6,2,4,5]=>[5,4,2,6,3,7,8,1]=>0000000 [1,8,2,7,6,3,4,5]=>[5,4,3,6,7,2,8,1]=>0000000 [8,2,7,4,1,5,6,3]=>[3,6,5,1,4,7,2,8]=>0000001 [8,2,1,7,5,6,3,4]=>[4,3,6,5,7,1,2,8]=>0000001 [8,7,3,1,5,6,2,4]=>[4,2,6,5,1,3,7,8]=>0000011 [2,8,7,3,5,6,1,4]=>[4,1,6,5,3,7,8,2]=>0000000 [8,3,1,6,7,5,2,4]=>[4,2,5,7,6,1,3,8]=>0000001 [8,5,2,1,6,7,4,3]=>[3,4,7,6,1,2,5,8]=>0000001 [1,5,2,8,6,7,4,3]=>[3,4,7,6,8,2,5,1]=>0000000 [1,2,8,6,7,5,3,4]=>[4,3,5,7,6,8,2,1]=>0000000 [1,8,3,6,7,5,2,4]=>[4,2,5,7,6,3,8,1]=>0000000 [8,2,3,6,7,5,1,4]=>[4,1,5,7,6,3,2,8]=>0000001 [8,3,7,2,5,6,1,4]=>[4,1,6,5,2,7,3,8]=>0000001 [8,1,3,7,5,6,2,4]=>[4,2,6,5,7,3,1,8]=>0000001 [8,4,1,2,7,5,6,3]=>[3,6,5,7,2,1,4,8]=>0000001 [8,1,4,2,6,7,5,3]=>[3,5,7,6,2,4,1,8]=>0000001 [1,2,8,6,7,3,5,4]=>[4,5,3,7,6,8,2,1]=>0000000 [8,1,2,7,3,6,4,5]=>[5,4,6,3,7,2,1,8]=>0000001 [8,1,7,3,6,2,4,5]=>[5,4,2,6,3,7,1,8]=>0000001 [8,1,7,2,6,3,4,5]=>[5,4,3,6,2,7,1,8]=>0000001 [8,1,7,2,3,6,4,5]=>[5,4,6,3,2,7,1,8]=>0000001 [8,1,3,7,2,5,6,4]=>[4,6,5,2,7,3,1,8]=>0000001 [1,8,3,6,7,2,5,4]=>[4,5,2,7,6,3,8,1]=>0000000 [1,7,8,2,3,6,5,4]=>[4,5,6,3,2,8,7,1]=>0000000 [8,3,7,1,2,5,6,4]=>[4,6,5,2,1,7,3,8]=>0000001 [7,4,2,6,1,5,3,8]=>[8,3,5,1,6,2,4,7]=>0000000 [7,4,2,5,6,1,3,8]=>[8,3,1,6,5,2,4,7]=>0000000 [7,3,5,6,4,2,1,8]=>[8,1,2,4,6,5,3,7]=>0000000 [7,4,3,1,5,6,2,8]=>[8,2,6,5,1,3,4,7]=>0000000 [7,4,5,2,6,1,3,8]=>[8,3,1,6,2,5,4,7]=>0000000 [5,3,7,2,8,6,4,1]=>[1,4,6,8,2,7,3,5]=>1000000 [5,3,8,2,6,7,4,1]=>[1,4,7,6,2,8,3,5]=>1000000 [6,4,3,1,8,2,7,5]=>[5,7,2,8,1,3,4,6]=>0000000 [5,3,7,8,2,6,4,1]=>[1,4,6,2,8,7,3,5]=>1000000 [4,7,8,5,6,3,2,1]=>[1,2,3,6,5,8,7,4]=>1110000 [5,3,7,6,8,2,4,1]=>[1,4,2,8,6,7,3,5]=>1000000 [5,7,8,4,6,2,1,3]=>[3,1,2,6,4,8,7,5]=>0010000 [5,8,4,3,6,7,1,2]=>[2,1,7,6,3,4,8,5]=>0100000 [5,8,6,4,7,2,1,3]=>[3,1,2,7,4,6,8,5]=>0010000 [5,3,8,6,2,7,4,1]=>[1,4,7,2,6,8,3,5]=>1000000 [4,7,5,8,6,3,2,1]=>[1,2,3,6,8,5,7,4]=>1110000 [6,3,8,7,2,4,1,5]=>[5,1,4,2,7,8,3,6]=>0000000 [5,3,8,7,2,6,4,1]=>[1,4,6,2,7,8,3,5]=>1000000 [5,3,8,6,7,2,4,1]=>[1,4,2,7,6,8,3,5]=>1000000 [5,3,7,8,6,2,4,1]=>[1,4,2,6,8,7,3,5]=>1000000 [5,7,6,4,8,2,1,3]=>[3,1,2,8,4,6,7,5]=>0010000 [5,8,4,6,7,2,1,3]=>[3,1,2,7,6,4,8,5]=>0010000 [6,4,2,8,1,7,3,5]=>[5,3,7,1,8,2,4,6]=>0000000 [6,5,2,4,3,7,8,1]=>[1,8,7,3,4,2,5,6]=>1000000 [5,4,6,2,8,7,1,3]=>[3,1,7,8,2,6,4,5]=>0000000 [5,6,3,8,7,2,4,1]=>[1,4,2,7,8,3,6,5]=>1000000 [5,7,4,3,6,8,1,2]=>[2,1,8,6,3,4,7,5]=>0100000 [5,7,3,8,6,2,4,1]=>[1,4,2,6,8,3,7,5]=>1000000 [4,5,8,6,7,3,2,1]=>[1,2,3,7,6,8,5,4]=>1110000 [4,6,8,5,7,3,2,1]=>[1,2,3,7,5,8,6,4]=>1110000 [5,6,8,3,7,2,4,1]=>[1,4,2,7,3,8,6,5]=>1000000 [5,4,6,8,2,7,1,3]=>[3,1,7,2,8,6,4,5]=>0000000 [5,6,2,4,3,7,1,8]=>[8,1,7,3,4,2,6,5]=>0000000 [5,6,3,4,1,7,2,8]=>[8,2,7,1,4,3,6,5]=>0000000 [4,5,1,3,2,7,6,8]=>[8,6,7,2,3,1,5,4]=>0000000 [4,6,1,3,2,7,5,8]=>[8,5,7,2,3,1,6,4]=>0000000 [4,5,3,7,6,8,1,2]=>[2,1,8,6,7,3,5,4]=>0100000 [1,5,3,6,2,7,4,8]=>[8,4,7,2,6,3,5,1]=>0000000 [4,6,2,3,1,7,5,8]=>[8,5,7,1,3,2,6,4]=>0000000 [3,6,2,7,5,4,8,1]=>[1,8,4,5,7,2,6,3]=>1000000 [2,4,7,1,3,8,6,5]=>[5,6,8,3,1,7,4,2]=>0000000 [5,2,6,7,4,3,8,1]=>[1,8,3,4,7,6,2,5]=>1000000 [2,5,7,3,1,8,6,4]=>[4,6,8,1,3,7,5,2]=>0000000 [2,5,7,3,1,8,4,6]=>[6,4,8,1,3,7,5,2]=>0000000 [2,3,1,5,8,4,7,6]=>[6,7,4,8,5,1,3,2]=>0000000 [2,1,5,6,8,4,3,7]=>[7,3,4,8,6,5,1,2]=>0000000 [4,6,2,7,1,8,3,5]=>[5,3,8,1,7,2,6,4]=>0000000 [1,5,4,3,6,8,2,7]=>[7,2,8,6,3,4,5,1]=>0000000 [1,6,4,5,7,8,3,2]=>[2,3,8,7,5,4,6,1]=>0000000 [2,1,5,6,8,4,7,3]=>[3,7,4,8,6,5,1,2]=>0000000 [3,4,6,8,5,7,2,1]=>[1,2,7,5,8,6,4,3]=>1100000 [4,5,6,2,8,7,3,1]=>[1,3,7,8,2,6,5,4]=>1000000 [4,5,6,1,8,7,3,2]=>[2,3,7,8,1,6,5,4]=>0000000 [4,5,6,3,1,8,7,2]=>[2,7,8,1,3,6,5,4]=>0000000 [4,3,6,2,1,7,5,8]=>[8,5,7,1,2,6,3,4]=>0000000 [4,6,3,1,7,5,2,8]=>[8,2,5,7,1,3,6,4]=>0000000 [4,5,3,7,6,1,8,2]=>[2,8,1,6,7,3,5,4]=>0000000 [4,5,1,7,3,8,6,2]=>[2,6,8,3,7,1,5,4]=>0000000 [2,5,7,1,4,3,8,6]=>[6,8,3,4,1,7,5,2]=>0000000 [4,3,5,7,6,1,8,2]=>[2,8,1,6,7,5,3,4]=>0000000 [4,3,2,6,1,7,5,8]=>[8,5,7,1,6,2,3,4]=>0000000 [5,3,2,1,6,4,7,8]=>[8,7,4,6,1,2,3,5]=>0000000 [5,3,1,6,2,7,4,8]=>[8,4,7,2,6,1,3,5]=>0000000 [5,1,6,3,2,7,4,8]=>[8,4,7,2,3,6,1,5]=>0000000 [2,6,1,4,7,5,3,8]=>[8,3,5,7,4,1,6,2]=>0000000 [3,6,1,7,4,2,5,8]=>[8,5,2,4,7,1,6,3]=>0000000 [4,6,1,7,5,3,2,8]=>[8,2,3,5,7,1,6,4]=>0000000 [5,1,6,3,7,4,2,8]=>[8,2,4,7,3,6,1,5]=>0000000 [5,3,6,4,2,1,7,8]=>[8,7,1,2,4,6,3,5]=>0000000 [5,3,2,6,4,1,7,8]=>[8,7,1,4,6,2,3,5]=>0000000 [5,2,1,6,3,7,4,8]=>[8,4,7,3,6,1,2,5]=>0000000 [5,2,6,3,1,7,4,8]=>[8,4,7,1,3,6,2,5]=>0000000 [4,2,6,3,1,7,8,5]=>[5,8,7,1,3,6,2,4]=>0000000 [3,6,2,7,4,1,5,8]=>[8,5,1,4,7,2,6,3]=>0000000 [3,5,7,2,8,6,4,1]=>[1,4,6,8,2,7,5,3]=>1000000 [2,6,1,3,7,5,4,8]=>[8,4,5,7,3,1,6,2]=>0000000 [3,6,1,7,5,2,4,8]=>[8,4,2,5,7,1,6,3]=>0000000 [5,1,6,2,7,4,3,8]=>[8,3,4,7,2,6,1,5]=>0000000 [5,2,6,4,3,1,7,8]=>[8,7,1,3,4,6,2,5]=>0000000 [5,2,1,6,4,3,7,8]=>[8,7,3,4,6,1,2,5]=>0000000 [5,4,2,1,6,3,7,8]=>[8,7,3,6,1,2,4,5]=>0000000 [5,4,1,6,2,7,3,8]=>[8,3,7,2,6,1,4,5]=>0000000 [5,1,6,4,2,7,3,8]=>[8,3,7,2,4,6,1,5]=>0000000 [3,6,1,7,5,4,8,2]=>[2,8,4,5,7,1,6,3]=>0000000 [2,6,1,5,4,3,7,8]=>[8,7,3,4,5,1,6,2]=>0000000 [3,1,6,2,5,4,7,8]=>[8,7,4,5,2,6,1,3]=>0000000 [4,1,6,3,2,7,8,5]=>[5,8,7,2,3,6,1,4]=>0000000 [5,1,6,4,3,2,7,8]=>[8,7,2,3,4,6,1,5]=>0000000 [5,4,1,6,3,2,7,8]=>[8,7,2,3,6,1,4,5]=>0000000 [5,4,3,1,6,2,7,8]=>[8,7,2,6,1,3,4,5]=>0000000 [4,5,1,8,7,6,2,3]=>[3,2,6,7,8,1,5,4]=>0000000 [5,2,6,8,3,7,4,1]=>[1,4,7,3,8,6,2,5]=>1000000 [6,1,4,8,7,2,5,3]=>[3,5,2,7,8,4,1,6]=>0000000 [6,1,8,4,7,3,5,2]=>[2,5,3,7,4,8,1,6]=>0000000 [6,8,3,5,7,1,4,2]=>[2,4,1,7,5,3,8,6]=>0000000 [7,5,8,4,2,6,3,1]=>[1,3,6,2,4,8,5,7]=>1000000 [3,6,7,4,8,5,2,1]=>[1,2,5,8,4,7,6,3]=>1100000 [5,7,8,3,2,6,4,1]=>[1,4,6,2,3,8,7,5]=>1000000 [1,5,8,2,7,3,6,4]=>[4,6,3,7,2,8,5,1]=>0000000 [5,8,4,7,2,3,6,1]=>[1,6,3,2,7,4,8,5]=>1000000 [6,7,4,8,1,5,3,2]=>[2,3,5,1,8,4,7,6]=>0000000 [1,7,4,8,6,2,5,3]=>[3,5,2,6,8,4,7,1]=>0000000 [6,8,5,3,7,2,4,1]=>[1,4,2,7,3,5,8,6]=>1000000 [6,8,5,2,3,7,4,1]=>[1,4,7,3,2,5,8,6]=>1000000 [6,8,4,2,5,7,3,1]=>[1,3,7,5,2,4,8,6]=>1000000 [7,4,5,8,1,6,3,2]=>[2,3,6,1,8,5,4,7]=>0000000 [6,3,4,7,8,5,2,1]=>[1,2,5,8,7,4,3,6]=>1100000 [1,4,5,7,8,2,6,3]=>[3,6,2,8,7,5,4,1]=>0000000 [1,6,7,2,3,5,4,8]=>[8,4,5,3,2,7,6,1]=>0000000 [1,4,5,7,6,2,3,8]=>[8,3,2,6,7,5,4,1]=>0000000 [1,2,5,7,3,6,4,8]=>[8,4,6,3,7,5,2,1]=>0000000 [2,7,4,8,3,5,1,6]=>[6,1,5,3,8,4,7,2]=>0000000 [2,7,4,8,3,5,6,1]=>[1,6,5,3,8,4,7,2]=>1000000 [7,2,8,4,3,5,1,6]=>[6,1,5,3,4,8,2,7]=>0000000 [8,4,2,1,5,3,6,7]=>[7,6,3,5,1,2,4,8]=>0000001 [8,4,1,5,3,2,6,7]=>[7,6,2,3,5,1,4,8]=>0000001 [6,7,3,8,4,2,5,1]=>[1,5,2,4,8,3,7,6]=>1000000 [6,7,3,8,4,2,1,5]=>[5,1,2,4,8,3,7,6]=>0000000 [7,1,8,4,3,5,2,6]=>[6,2,5,3,4,8,1,7]=>0000000 [1,7,8,4,3,5,2,6]=>[6,2,5,3,4,8,7,1]=>0000000 [7,1,4,8,3,5,2,6]=>[6,2,5,3,8,4,1,7]=>0000000 [7,1,8,4,3,5,6,2]=>[2,6,5,3,4,8,1,7]=>0000000 [6,7,3,1,8,4,5,2]=>[2,5,4,8,1,3,7,6]=>0000000 [6,7,1,4,8,3,5,2]=>[2,5,3,8,4,1,7,6]=>0000000 [6,7,4,1,3,8,2,5]=>[5,2,8,3,1,4,7,6]=>0000000 [1,6,7,8,4,3,2,5]=>[5,2,3,4,8,7,6,1]=>0000000 [7,2,1,8,4,5,3,6]=>[6,3,5,4,8,1,2,7]=>0000000 [6,2,7,1,8,4,3,5]=>[5,3,4,8,1,7,2,6]=>0000000 [6,2,7,8,4,3,1,5]=>[5,1,3,4,8,7,2,6]=>0000000 [6,2,7,8,4,3,5,1]=>[1,5,3,4,8,7,2,6]=>1000000 [2,6,7,4,8,3,5,1]=>[1,5,3,8,4,7,6,2]=>1000000 [2,6,7,4,8,3,1,5]=>[5,1,3,8,4,7,6,2]=>0000000 [7,8,1,3,6,2,4,5]=>[5,4,2,6,3,1,8,7]=>0000010 [1,2,7,8,6,3,4,5]=>[5,4,3,6,8,7,2,1]=>0000000 [2,6,7,1,8,5,3,4]=>[4,3,5,8,1,7,6,2]=>0000000 [2,6,7,8,5,3,4,1]=>[1,4,3,5,8,7,6,2]=>1000000 [6,2,7,8,4,5,3,1]=>[1,3,5,4,8,7,2,6]=>1000000 [1,7,2,8,4,5,6,3]=>[3,6,5,4,8,2,7,1]=>0000000 [6,3,7,8,1,5,2,4]=>[4,2,5,1,8,7,3,6]=>0000000 [6,7,1,2,8,5,3,4]=>[4,3,5,8,2,1,7,6]=>0000000 [1,6,7,8,4,2,5,3]=>[3,5,2,4,8,7,6,1]=>0000000 [4,6,1,7,3,2,5,8]=>[8,5,2,3,7,1,6,4]=>0000000 [1,5,8,3,4,7,6,2]=>[2,6,7,4,3,8,5,1]=>0000000 [3,1,2,6,7,5,8,4]=>[4,8,5,7,6,2,1,3]=>0000000 [6,7,3,5,1,4,8,2]=>[2,8,4,1,5,3,7,6]=>0000000 [5,7,8,4,2,6,3,1]=>[1,3,6,2,4,8,7,5]=>1000000 [5,4,7,6,2,8,3,1]=>[1,3,8,2,6,7,4,5]=>1000000 [5,7,4,1,6,8,3,2]=>[2,3,8,6,1,4,7,5]=>0000000 [6,8,4,5,7,1,3,2]=>[2,3,1,7,5,4,8,6]=>0010000 [5,8,4,6,1,7,3,2]=>[2,3,7,1,6,4,8,5]=>0000000 [5,6,1,4,7,8,3,2]=>[2,3,8,7,4,1,6,5]=>0000000 [5,3,6,7,4,8,2,1]=>[1,2,8,4,7,6,3,5]=>1100000 [5,3,2,8,6,7,4,1]=>[1,4,7,6,8,2,3,5]=>1000000 [5,4,8,2,6,7,3,1]=>[1,3,7,6,2,8,4,5]=>1000000 [5,4,8,6,2,7,3,1]=>[1,3,7,2,6,8,4,5]=>1000000 [6,4,8,5,7,2,3,1]=>[1,3,2,7,5,8,4,6]=>1010000 [4,6,8,5,7,2,3,1]=>[1,3,2,7,5,8,6,4]=>1010000 [5,6,3,8,4,7,2,1]=>[1,2,7,4,8,3,6,5]=>1100000 [4,6,3,5,8,7,2,1]=>[1,2,7,8,5,3,6,4]=>1100000 [4,6,3,2,8,7,5,1]=>[1,5,7,8,2,3,6,4]=>1000000 [5,6,3,8,2,7,4,1]=>[1,4,7,2,8,3,6,5]=>1000000 [3,6,5,8,7,2,4,1]=>[1,4,2,7,8,5,6,3]=>1000000 [5,3,6,8,2,7,4,1]=>[1,4,7,2,8,6,3,5]=>1000000 [4,3,7,2,8,6,5,1]=>[1,5,6,8,2,7,3,4]=>1000000 [5,4,7,2,6,8,3,1]=>[1,3,8,6,2,7,4,5]=>1000000 [5,3,2,7,6,8,4,1]=>[1,4,8,6,7,2,3,5]=>1000000 [6,7,3,8,5,2,4,1]=>[1,4,2,5,8,3,7,6]=>1000000 [6,3,2,7,5,4,8,1]=>[1,8,4,5,7,2,3,6]=>1000000 [6,4,7,2,5,3,8,1]=>[1,8,3,5,2,7,4,6]=>1000000 [6,2,7,5,1,4,8,3]=>[3,8,4,1,5,7,2,6]=>0000000 [2,7,8,5,3,6,1,4]=>[4,1,6,3,5,8,7,2]=>0000000 [3,5,7,8,4,6,2,1]=>[1,2,6,4,8,7,5,3]=>1100000 [5,7,8,2,4,6,3,1]=>[1,3,6,4,2,8,7,5]=>1000000 [2,5,8,4,3,7,6,1]=>[1,6,7,3,4,8,5,2]=>1000000 [2,6,8,4,7,3,5,1]=>[1,5,3,7,4,8,6,2]=>1000000 [3,7,4,8,6,2,1,5]=>[5,1,2,6,8,4,7,3]=>0000000 [3,6,4,8,7,2,5,1]=>[1,5,2,7,8,4,6,3]=>1000000 [3,5,4,8,2,7,6,1]=>[1,6,7,2,8,4,5,3]=>1000000 [4,5,7,3,8,6,2,1]=>[1,2,6,8,3,7,5,4]=>1100000 [1,8,2,5,6,3,4,7]=>[7,4,3,6,5,2,8,1]=>0000000 [7,2,8,4,5,1,3,6]=>[6,3,1,5,4,8,2,7]=>0000000 [1,3,7,5,6,2,4,8]=>[8,4,2,6,5,7,3,1]=>0000000 [1,6,7,4,3,5,2,8]=>[8,2,5,3,4,7,6,1]=>0000000 [1,8,2,5,3,6,7,4]=>[4,7,6,3,5,2,8,1]=>0000000 [2,6,8,4,3,5,7,1]=>[1,7,5,3,4,8,6,2]=>1000000 [7,2,8,4,1,5,6,3]=>[3,6,5,1,4,8,2,7]=>0000000 [7,5,8,1,2,6,3,4]=>[4,3,6,2,1,8,5,7]=>0000000 [1,5,2,6,4,7,8,3]=>[3,8,7,4,6,2,5,1]=>0000000 [1,5,4,6,2,3,7,8]=>[8,7,3,2,6,4,5,1]=>0000000 [6,2,5,7,1,4,8,3]=>[3,8,4,1,7,5,2,6]=>0000000 [6,5,4,3,8,1,7,2]=>[2,7,1,8,3,4,5,6]=>0000000 [2,6,5,8,3,4,1,7]=>[7,1,4,3,8,5,6,2]=>0000000 [2,6,5,7,3,4,1,8]=>[8,1,4,3,7,5,6,2]=>0000000 [6,2,5,7,4,1,3,8]=>[8,3,1,4,7,5,2,6]=>0000000 [6,2,5,8,4,1,3,7]=>[7,3,1,4,8,5,2,6]=>0000000 [2,7,8,4,6,1,3,5]=>[5,3,1,6,4,8,7,2]=>0000000 [6,1,2,8,5,4,7,3]=>[3,7,4,5,8,2,1,6]=>0000000 [6,2,5,7,8,1,3,4]=>[4,3,1,8,7,5,2,6]=>0000000 [1,5,4,2,6,7,3,8]=>[8,3,7,6,2,4,5,1]=>0000000 [2,6,5,7,3,8,1,4]=>[4,1,8,3,7,5,6,2]=>0000000 [1,6,2,7,5,8,4,3]=>[3,4,8,5,7,2,6,1]=>0000000 [1,3,2,7,8,5,6,4]=>[4,6,5,8,7,2,3,1]=>0000000 [1,6,2,4,8,7,3,5]=>[5,3,7,8,4,2,6,1]=>0000000 [6,5,2,1,8,7,3,4]=>[4,3,7,8,1,2,5,6]=>0000000 [2,6,5,3,7,8,4,1]=>[1,4,8,7,3,5,6,2]=>1000000 [6,5,2,3,8,7,1,4]=>[4,1,7,8,3,2,5,6]=>0000000 [5,1,4,2,3,7,8,6]=>[6,8,7,3,2,4,1,5]=>0000000 [1,5,4,2,6,3,8,7]=>[7,8,3,6,2,4,5,1]=>0000000 [5,1,6,3,8,2,7,4]=>[4,7,2,8,3,6,1,5]=>0000000 [6,5,8,7,4,3,1,2]=>[2,1,3,4,7,8,5,6]=>0111000 [6,4,2,7,8,5,1,3]=>[3,1,5,8,7,2,4,6]=>0000000 [6,1,4,8,7,5,2,3]=>[3,2,5,7,8,4,1,6]=>0000000 [1,6,4,8,7,5,2,3]=>[3,2,5,7,8,4,6,1]=>0000000 [1,8,6,2,4,7,3,5]=>[5,3,7,4,2,6,8,1]=>0000000 [8,1,6,2,4,7,3,5]=>[5,3,7,4,2,6,1,8]=>0000001 [6,4,1,7,8,5,2,3]=>[3,2,5,8,7,1,4,6]=>0000000 [7,6,1,2,4,8,3,5]=>[5,3,8,4,2,1,6,7]=>0000000 [1,8,6,3,4,7,2,5]=>[5,2,7,4,3,6,8,1]=>0000000 [1,7,2,5,4,8,3,6]=>[6,3,8,4,5,2,7,1]=>0000000 [7,1,2,5,4,8,3,6]=>[6,3,8,4,5,2,1,7]=>0000000 [2,7,1,5,4,8,3,6]=>[6,3,8,4,5,1,7,2]=>0000000 [2,8,6,1,4,7,3,5]=>[5,3,7,4,1,6,8,2]=>0000000 [7,2,1,5,4,8,3,6]=>[6,3,8,4,5,1,2,7]=>0000000 [1,2,7,5,4,8,3,6]=>[6,3,8,4,5,7,2,1]=>0000000 [3,2,7,5,4,8,1,6]=>[6,1,8,4,5,7,2,3]=>0000000 [2,5,8,4,7,3,1,6]=>[6,1,3,7,4,8,5,2]=>0000000 [2,3,7,5,4,8,1,6]=>[6,1,8,4,5,7,3,2]=>0000000 [6,8,3,2,4,7,1,5]=>[5,1,7,4,2,3,8,6]=>0000000 [3,7,2,5,4,8,1,6]=>[6,1,8,4,5,2,7,3]=>0000000 [3,1,7,5,4,8,2,6]=>[6,2,8,4,5,7,1,3]=>0000000 [1,3,7,5,4,8,2,6]=>[6,2,8,4,5,7,3,1]=>0000000 [1,5,8,4,7,3,2,6]=>[6,2,3,7,4,8,5,1]=>0000000 [5,1,8,4,7,3,2,6]=>[6,2,3,7,4,8,1,5]=>0000000 [5,8,2,4,7,3,1,6]=>[6,1,3,7,4,2,8,5]=>0000000 [6,8,4,3,7,5,1,2]=>[2,1,5,7,3,4,8,6]=>0100000 [8,5,2,4,7,3,1,6]=>[6,1,3,7,4,2,5,8]=>0000001 [8,1,5,4,7,3,2,6]=>[6,2,3,7,4,5,1,8]=>0000001 [1,8,5,4,7,3,2,6]=>[6,2,3,7,4,5,8,1]=>0000000 [1,7,3,5,4,8,2,6]=>[6,2,8,4,5,3,7,1]=>0000000 [8,6,3,1,4,7,2,5]=>[5,2,7,4,1,3,6,8]=>0000001 [8,6,4,1,7,2,5,3]=>[3,5,2,7,1,4,6,8]=>0000001 [5,3,7,4,6,8,2,1]=>[1,2,8,6,4,7,3,5]=>1100000 [4,1,3,2,7,8,5,6]=>[6,5,8,7,2,3,1,4]=>0000000 [1,4,3,2,7,8,5,6]=>[6,5,8,7,2,3,4,1]=>0000000 [2,4,3,1,7,8,5,6]=>[6,5,8,7,1,3,4,2]=>0000000 [2,7,3,5,4,8,1,6]=>[6,1,8,4,5,3,7,2]=>0000000 [2,8,5,4,7,3,1,6]=>[6,1,3,7,4,5,8,2]=>0000000 [5,7,3,4,6,8,2,1]=>[1,2,8,6,4,3,7,5]=>1100000 [8,2,5,4,7,3,1,6]=>[6,1,3,7,4,5,2,8]=>0000001 [7,2,3,5,4,8,1,6]=>[6,1,8,4,5,3,2,7]=>0000000 [3,2,1,4,7,8,5,6]=>[6,5,8,7,4,1,2,3]=>0000000 [8,1,7,6,4,3,5,2]=>[2,5,3,4,6,7,1,8]=>0000001 [8,6,4,5,2,7,1,3]=>[3,1,7,2,5,4,6,8]=>0000001 [7,1,8,6,4,3,5,2]=>[2,5,3,4,6,8,1,7]=>0000000 [7,4,2,5,1,6,3,8]=>[8,3,6,1,5,2,4,7]=>0000000 [7,3,6,5,2,1,4,8]=>[8,4,1,2,5,6,3,7]=>0000000 [8,3,6,5,2,1,7,4]=>[4,7,1,2,5,6,3,8]=>0000001 [7,3,6,5,2,1,8,4]=>[4,8,1,2,5,6,3,7]=>0000000 [5,4,2,8,1,3,7,6]=>[6,7,3,1,8,2,4,5]=>0000000 [5,8,2,6,4,1,3,7]=>[7,3,1,4,6,2,8,5]=>0000000 [6,4,2,5,1,8,3,7]=>[7,3,8,1,5,2,4,6]=>0000000 [6,3,5,2,1,4,7,8]=>[8,7,4,1,2,5,3,6]=>0000000 [2,3,5,8,1,4,7,6]=>[6,7,4,1,8,5,3,2]=>0000000 [2,3,6,8,1,5,7,4]=>[4,7,5,1,8,6,3,2]=>0000000 [6,3,8,5,2,7,1,4]=>[4,1,7,2,5,8,3,6]=>0000000 [6,3,7,5,2,1,4,8]=>[8,4,1,2,5,7,3,6]=>0000000 [2,5,7,6,3,1,4,8]=>[8,4,1,3,6,7,5,2]=>0000000 [2,8,7,6,3,1,5,4]=>[4,5,1,3,6,7,8,2]=>0000000 [2,5,8,7,6,3,1,4]=>[4,1,3,6,7,8,5,2]=>0000000 [2,4,8,1,6,5,7,3]=>[3,7,5,6,1,8,4,2]=>0000000 [2,8,7,3,6,1,4,5]=>[5,4,1,6,3,7,8,2]=>0000000 [8,4,2,5,1,3,7,6]=>[6,7,3,1,5,2,4,8]=>0000001 [2,3,6,8,1,4,7,5]=>[5,7,4,1,8,6,3,2]=>0000000 [2,7,8,6,3,1,4,5]=>[5,4,1,3,6,8,7,2]=>0000000 [2,8,6,3,1,4,5,7]=>[7,5,4,1,3,6,8,2]=>0000000 [8,3,5,2,1,4,6,7]=>[7,6,4,1,2,5,3,8]=>0000001 [2,5,8,1,7,3,6,4]=>[4,6,3,7,1,8,5,2]=>0000000 [2,8,1,5,7,3,6,4]=>[4,6,3,7,5,1,8,2]=>0000000 [8,3,6,1,4,7,5,2]=>[2,5,7,4,1,6,3,8]=>0000001 [2,6,8,1,5,7,3,4]=>[4,3,7,5,1,8,6,2]=>0000000 [2,7,1,5,8,3,4,6]=>[6,4,3,8,5,1,7,2]=>0000000 [2,7,1,6,3,8,4,5]=>[5,4,8,3,6,1,7,2]=>0000000 [4,7,6,1,8,5,2,3]=>[3,2,5,8,1,6,7,4]=>0000000 [7,3,6,1,2,8,4,5]=>[5,4,8,2,1,6,3,7]=>0000000 [7,4,8,1,6,5,2,3]=>[3,2,5,6,1,8,4,7]=>0000000 [7,4,6,1,8,2,5,3]=>[3,5,2,8,1,6,4,7]=>0000000 [4,6,8,5,1,7,2,3]=>[3,2,7,1,5,8,6,4]=>0000000 [5,1,7,6,2,3,8,4]=>[4,8,3,2,6,7,1,5]=>0000000 [5,1,7,6,2,8,3,4]=>[4,3,8,2,6,7,1,5]=>0000000 [5,1,8,7,6,2,3,4]=>[4,3,2,6,7,8,1,5]=>0000000 [8,5,1,7,6,2,3,4]=>[4,3,2,6,7,1,5,8]=>0000001 [8,5,1,6,2,7,3,4]=>[4,3,7,2,6,1,5,8]=>0000001 [3,6,1,8,4,7,5,2]=>[2,5,7,4,8,1,6,3]=>0000000 [4,6,1,8,7,5,2,3]=>[3,2,5,7,8,1,6,4]=>0000000 [8,4,6,1,7,5,2,3]=>[3,2,5,7,1,6,4,8]=>0000001 [4,8,5,1,7,2,3,6]=>[6,3,2,7,1,5,8,4]=>0000000 [3,4,8,7,1,2,5,6]=>[6,5,2,1,7,8,4,3]=>0000000 [5,8,4,1,7,2,3,6]=>[6,3,2,7,1,4,8,5]=>0000000 [8,6,4,7,1,2,5,3]=>[3,5,2,1,7,4,6,8]=>0000001 [6,4,8,7,1,2,5,3]=>[3,5,2,1,7,8,4,6]=>0000000 [5,6,8,3,7,1,4,2]=>[2,4,1,7,3,8,6,5]=>0000000 [6,5,1,8,2,7,3,4]=>[4,3,7,2,8,1,5,6]=>0000000 [8,6,5,1,2,7,3,4]=>[4,3,7,2,1,5,6,8]=>0000001 [8,6,5,1,7,2,3,4]=>[4,3,2,7,1,5,6,8]=>0000001 [6,5,1,8,7,2,3,4]=>[4,3,2,7,8,1,5,6]=>0000000 [6,5,1,7,2,8,3,4]=>[4,3,8,2,7,1,5,6]=>0000000 [6,5,1,7,2,3,8,4]=>[4,8,3,2,7,1,5,6]=>0000000 [5,7,4,1,8,2,3,6]=>[6,3,2,8,1,4,7,5]=>0000000 [5,6,8,7,4,1,2,3]=>[3,2,1,4,7,8,6,5]=>0011000 [6,8,5,7,4,1,2,3]=>[3,2,1,4,7,5,8,6]=>0011000 [4,2,7,1,6,3,5,8]=>[8,5,3,6,1,7,2,4]=>0000000 [6,8,4,2,1,5,3,7]=>[7,3,5,1,2,4,8,6]=>0000000 [6,8,4,2,1,5,7,3]=>[3,7,5,1,2,4,8,6]=>0000000 [7,4,3,1,8,5,6,2]=>[2,6,5,8,1,3,4,7]=>0000000 [6,2,1,8,3,7,4,5]=>[5,4,7,3,8,1,2,6]=>0000000 [5,3,2,7,6,1,4,8]=>[8,4,1,6,7,2,3,5]=>0000000 [2,1,5,8,4,7,3,6]=>[6,3,7,4,8,5,1,2]=>0000000 [4,3,2,5,7,1,6,8]=>[8,6,1,7,5,2,3,4]=>0000000 [4,3,1,6,2,7,5,8]=>[8,5,7,2,6,1,3,4]=>0000000 [6,5,3,1,7,8,4,2]=>[2,4,8,7,1,3,5,6]=>0000000 [5,4,2,1,6,7,3,8]=>[8,3,7,6,1,2,4,5]=>0000000 [5,3,2,1,6,7,4,8]=>[8,4,7,6,1,2,3,5]=>0000000 [6,4,2,1,7,8,5,3]=>[3,5,8,7,1,2,4,6]=>0000000 [3,2,1,4,8,7,5,6]=>[6,5,7,8,4,1,2,3]=>0000000 [4,3,2,6,1,7,8,5]=>[5,8,7,1,6,2,3,4]=>0000000 [5,3,2,1,6,7,8,4]=>[4,8,7,6,1,2,3,5]=>0000000 [8,6,1,4,5,7,2,3]=>[3,2,7,5,4,1,6,8]=>0000001 [5,2,8,3,7,4,6,1]=>[1,6,4,7,3,8,2,5]=>1000000 [6,2,8,5,4,7,3,1]=>[1,3,7,4,5,8,2,6]=>1000000 [5,2,8,4,3,6,7,1]=>[1,7,6,3,4,8,2,5]=>1000000 [5,4,2,7,3,6,1,8]=>[8,1,6,3,7,2,4,5]=>0000000 [5,4,2,8,3,6,1,7]=>[7,1,6,3,8,2,4,5]=>0000000 [6,5,3,8,4,7,2,1]=>[1,2,7,4,8,3,5,6]=>1100000 [5,2,8,4,3,7,1,6]=>[6,1,7,3,4,8,2,5]=>0000000 [6,2,8,3,7,4,1,5]=>[5,1,4,7,3,8,2,6]=>0000000 [5,4,2,7,3,1,8,6]=>[6,8,1,3,7,2,4,5]=>0000000 [6,4,3,7,1,2,8,5]=>[5,8,2,1,7,3,4,6]=>0000000 [6,4,3,8,1,2,7,5]=>[5,7,2,1,8,3,4,6]=>0000000 [7,2,8,4,3,1,5,6]=>[6,5,1,3,4,8,2,7]=>0000000 [7,5,3,8,4,2,6,1]=>[1,6,2,4,8,3,5,7]=>1000000 [6,4,2,7,3,1,5,8]=>[8,5,1,3,7,2,4,6]=>0000000 [7,6,4,8,2,3,5,1]=>[1,5,3,2,8,4,6,7]=>1000000 [5,3,1,7,8,4,6,2]=>[2,6,4,8,7,1,3,5]=>0000000 [5,3,2,7,8,4,6,1]=>[1,6,4,8,7,2,3,5]=>1000000 [6,5,1,7,8,2,3,4]=>[4,3,2,8,7,1,5,6]=>0000000 [6,3,1,7,8,4,2,5]=>[5,2,4,8,7,1,3,6]=>0000000 [6,3,2,7,8,4,1,5]=>[5,1,4,8,7,2,3,6]=>0000000 [8,7,6,1,3,5,2,4]=>[4,2,5,3,1,6,7,8]=>0000111 [7,4,6,1,3,2,8,5]=>[5,8,2,3,1,6,4,7]=>0000000 [4,7,2,5,6,3,8,1]=>[1,8,3,6,5,2,7,4]=>1000000 [2,8,6,5,7,1,4,3]=>[3,4,1,7,5,6,8,2]=>0000000 [3,1,2,6,8,4,7,5]=>[5,7,4,8,6,2,1,3]=>0000000 [5,1,3,2,7,8,4,6]=>[6,4,8,7,2,3,1,5]=>0000000 [5,3,8,1,7,2,4,6]=>[6,4,2,7,1,8,3,5]=>0000000 [3,6,7,8,4,2,1,5]=>[5,1,2,4,8,7,6,3]=>0000000 [2,5,1,8,4,7,3,6]=>[6,3,7,4,8,1,5,2]=>0000000 [8,2,1,5,7,3,4,6]=>[6,4,3,7,5,1,2,8]=>0000001 [2,5,4,8,1,3,7,6]=>[6,7,3,1,8,4,5,2]=>0000000 [1,7,3,5,8,2,6,4]=>[4,6,2,8,5,3,7,1]=>0000000 [3,1,6,8,7,2,4,5]=>[5,4,2,7,8,6,1,3]=>0000000 [4,1,7,2,6,8,3,5]=>[5,3,8,6,2,7,1,4]=>0000000 [4,1,3,8,7,2,6,5]=>[5,6,2,7,8,3,1,4]=>0000000 [1,8,3,2,7,5,6,4]=>[4,6,5,7,2,3,8,1]=>0000000 [5,1,7,8,4,2,6,3]=>[3,6,2,4,8,7,1,5]=>0000000 [5,1,8,7,4,2,6,3]=>[3,6,2,4,7,8,1,5]=>0000000 [4,7,2,8,3,6,5,1]=>[1,5,6,3,8,2,7,4]=>1000000 [4,1,7,8,5,3,6,2]=>[2,6,3,5,8,7,1,4]=>0000000 [5,1,7,4,8,3,6,2]=>[2,6,3,8,4,7,1,5]=>0000000 [4,1,8,7,5,3,6,2]=>[2,6,3,5,7,8,1,4]=>0000000 [4,8,2,7,3,6,5,1]=>[1,5,6,3,7,2,8,4]=>1000000 [4,7,2,6,3,5,8,1]=>[1,8,5,3,6,2,7,4]=>1000000 [6,8,2,4,3,7,5,1]=>[1,5,7,3,4,2,8,6]=>1000000 [6,7,2,4,3,8,5,1]=>[1,5,8,3,4,2,7,6]=>1000000 [3,8,7,2,4,1,5,6]=>[6,5,1,4,2,7,8,3]=>0000000 [3,7,8,2,4,1,5,6]=>[6,5,1,4,2,8,7,3]=>0000000 [3,6,8,2,4,5,7,1]=>[1,7,5,4,2,8,6,3]=>1000000 [3,6,7,2,4,5,8,1]=>[1,8,5,4,2,7,6,3]=>1000000 [4,3,6,7,1,8,2,5]=>[5,2,8,1,7,6,3,4]=>0000000 [6,1,7,3,8,2,5,4]=>[4,5,2,8,3,7,1,6]=>0000000 [6,1,4,7,8,5,2,3]=>[3,2,5,8,7,4,1,6]=>0000000 [6,3,2,1,7,8,5,4]=>[4,5,8,7,1,2,3,6]=>0000000 [6,4,7,8,3,2,5,1]=>[1,5,2,3,8,7,4,6]=>1000000 [6,8,5,7,4,2,3,1]=>[1,3,2,4,7,5,8,6]=>1011000 [2,3,8,7,1,6,4,5]=>[5,4,6,1,7,8,3,2]=>0000000 [6,8,1,2,7,4,5,3]=>[3,5,4,7,2,1,8,6]=>0000000 [6,4,8,7,5,1,2,3]=>[3,2,1,5,7,8,4,6]=>0010000 [5,7,1,8,4,6,2,3]=>[3,2,6,4,8,1,7,5]=>0000000 [6,3,8,7,2,1,4,5]=>[5,4,1,2,7,8,3,6]=>0000000 [2,3,7,8,5,6,1,4]=>[4,1,6,5,8,7,3,2]=>0000000 [7,6,4,8,5,2,1,3]=>[3,1,2,5,8,4,6,7]=>0010000 [7,5,3,2,8,6,1,4]=>[4,1,6,8,2,3,5,7]=>0000000 [2,5,1,3,8,6,7,4]=>[4,7,6,8,3,1,5,2]=>0000000 [8,3,5,4,1,6,7,2]=>[2,7,6,1,4,5,3,8]=>0000001 [8,3,7,1,4,6,5,2]=>[2,5,6,4,1,7,3,8]=>0000001 [1,6,4,8,3,2,5,7]=>[7,5,2,3,8,4,6,1]=>0000000 [6,1,4,8,2,3,5,7]=>[7,5,3,2,8,4,1,6]=>0000000 [6,4,3,8,5,7,1,2]=>[2,1,7,5,8,3,4,6]=>0100000 [2,1,7,4,8,3,5,6]=>[6,5,3,8,4,7,1,2]=>0000000 [4,5,2,8,1,7,6,3]=>[3,6,7,1,8,2,5,4]=>0000000 [4,6,2,8,7,1,5,3]=>[3,5,1,7,8,2,6,4]=>0000000 [4,6,8,2,7,5,1,3]=>[3,1,5,7,2,8,6,4]=>0000000 [5,6,7,2,1,3,8,4]=>[4,8,3,1,2,7,6,5]=>0000000 [5,6,1,7,8,4,2,3]=>[3,2,4,8,7,1,6,5]=>0000000 [4,6,8,1,7,5,2,3]=>[3,2,5,7,1,8,6,4]=>0000000 [5,6,7,1,3,8,2,4]=>[4,2,8,3,1,7,6,5]=>0000000 [5,6,7,3,1,2,8,4]=>[4,8,2,1,3,7,6,5]=>0000000 [1,5,7,8,3,4,6,2]=>[2,6,4,3,8,7,5,1]=>0000000 [3,5,7,8,1,4,6,2]=>[2,6,4,1,8,7,5,3]=>0000000 [3,6,2,1,4,5,8,7]=>[7,8,5,4,1,2,6,3]=>0000000 [6,4,2,5,1,3,8,7]=>[7,8,3,1,5,2,4,6]=>0000000 [6,8,2,7,3,1,4,5]=>[5,4,1,3,7,2,8,6]=>0000000 [4,2,3,8,1,5,6,7]=>[7,6,5,1,8,3,2,4]=>0000000 [2,1,5,8,4,3,6,7]=>[7,6,3,4,8,5,1,2]=>0000000 [5,8,4,1,6,2,3,7]=>[7,3,2,6,1,4,8,5]=>0000000 [2,1,5,4,8,3,6,7]=>[7,6,3,8,4,5,1,2]=>0000000 [2,4,3,8,1,5,6,7]=>[7,6,5,1,8,3,4,2]=>0000000 [3,8,4,2,1,5,6,7]=>[7,6,5,1,2,4,8,3]=>0000000 [2,3,8,4,1,5,6,7]=>[7,6,5,1,4,8,3,2]=>0000000 [3,4,2,8,1,5,6,7]=>[7,6,5,1,8,2,4,3]=>0000000 [2,1,4,8,5,3,6,7]=>[7,6,3,5,8,4,1,2]=>0000000 [3,2,8,4,1,5,6,7]=>[7,6,5,1,4,8,2,3]=>0000000 [2,8,4,3,1,5,6,7]=>[7,6,5,1,3,4,8,2]=>0000000 [3,8,4,2,6,7,5,1]=>[1,5,7,6,2,4,8,3]=>1000000 [3,8,4,1,6,7,5,2]=>[2,5,7,6,1,4,8,3]=>0000000 [2,6,7,5,3,8,4,1]=>[1,4,8,3,5,7,6,2]=>1000000 [6,1,3,4,8,2,5,7]=>[7,5,2,8,4,3,1,6]=>0000000 [6,2,3,4,8,1,5,7]=>[7,5,1,8,4,3,2,6]=>0000000 [6,7,5,8,3,1,4,2]=>[2,4,1,3,8,5,7,6]=>0001000 [2,5,7,6,1,4,8,3]=>[3,8,4,1,6,7,5,2]=>0000000 [6,7,4,8,2,3,5,1]=>[1,5,3,2,8,4,7,6]=>1000000 [6,7,4,8,2,1,3,5]=>[5,3,1,2,8,4,7,6]=>0000000 [6,7,4,8,1,2,3,5]=>[5,3,2,1,8,4,7,6]=>0000000 [7,8,3,2,6,1,4,5]=>[5,4,1,6,2,3,8,7]=>0000010 [6,2,4,8,1,5,3,7]=>[7,3,5,1,8,4,2,6]=>0000000 [6,3,7,8,5,4,1,2]=>[2,1,4,5,8,7,3,6]=>0100000 [7,3,6,8,5,4,1,2]=>[2,1,4,5,8,6,3,7]=>0100000 [8,7,4,2,5,3,6,1]=>[1,6,3,5,2,4,7,8]=>1000011 [5,3,6,4,2,7,1,8]=>[8,1,7,2,4,6,3,5]=>0000000 [7,4,2,8,6,3,5,1]=>[1,5,3,6,8,2,4,7]=>1000000 [6,1,5,3,8,7,4,2]=>[2,4,7,8,3,5,1,6]=>0000000 [2,8,6,4,7,5,1,3]=>[3,1,5,7,4,6,8,2]=>0000000 [5,1,8,6,3,7,4,2]=>[2,4,7,3,6,8,1,5]=>0000000 [8,6,3,2,4,7,5,1]=>[1,5,7,4,2,3,6,8]=>1000001 [7,5,1,8,6,3,2,4]=>[4,2,3,6,8,1,5,7]=>0000000 [2,4,5,1,3,8,7,6]=>[6,7,8,3,1,5,4,2]=>0000000 [1,7,4,2,5,8,6,3]=>[3,6,8,5,2,4,7,1]=>0000000 [7,4,8,5,2,6,3,1]=>[1,3,6,2,5,8,4,7]=>1000000 [6,3,1,7,4,8,5,2]=>[2,5,8,4,7,1,3,6]=>0000000 [7,4,8,5,2,1,6,3]=>[3,6,1,2,5,8,4,7]=>0000000 [3,5,6,2,1,4,8,7]=>[7,8,4,1,2,6,5,3]=>0000000 [4,3,5,8,1,2,7,6]=>[6,7,2,1,8,5,3,4]=>0000000 [3,5,4,8,1,2,7,6]=>[6,7,2,1,8,4,5,3]=>0000000 [7,4,3,8,1,6,2,5]=>[5,2,6,1,8,3,4,7]=>0000000 [6,5,3,8,7,1,2,4]=>[4,2,1,7,8,3,5,6]=>0000000 [2,6,8,4,1,7,3,5]=>[5,3,7,1,4,8,6,2]=>0000000 [2,7,8,5,6,1,3,4]=>[4,3,1,6,5,8,7,2]=>0000000 [1,8,7,5,6,2,3,4]=>[4,3,2,6,5,7,8,1]=>0000000 [5,3,6,8,7,1,2,4]=>[4,2,1,7,8,6,3,5]=>0000000 [5,2,8,6,7,1,3,4]=>[4,3,1,7,6,8,2,5]=>0000000 [1,8,3,2,7,6,4,5]=>[5,4,6,7,2,3,8,1]=>0000000 [2,5,8,7,6,1,3,4]=>[4,3,1,6,7,8,5,2]=>0000000 [5,7,6,4,8,1,2,3]=>[3,2,1,8,4,6,7,5]=>0010000 [8,1,6,2,7,5,3,4]=>[4,3,5,7,2,6,1,8]=>0000001 [5,3,1,7,4,8,2,6]=>[6,2,8,4,7,1,3,5]=>0000000 [6,2,1,5,3,8,4,7]=>[7,4,8,3,5,1,2,6]=>0000000 [4,8,5,6,1,7,3,2]=>[2,3,7,1,6,5,8,4]=>0000000 [3,6,7,1,5,2,8,4]=>[4,8,2,5,1,7,6,3]=>0000000 [7,3,2,6,4,8,1,5]=>[5,1,8,4,6,2,3,7]=>0000000 [6,4,2,7,3,8,1,5]=>[5,1,8,3,7,2,4,6]=>0000000 [5,2,1,7,4,8,3,6]=>[6,3,8,4,7,1,2,5]=>0000000 [6,1,8,4,5,2,7,3]=>[3,7,2,5,4,8,1,6]=>0000000 [3,5,2,7,1,6,8,4]=>[4,8,6,1,7,2,5,3]=>0000000 [4,5,7,2,8,6,1,3]=>[3,1,6,8,2,7,5,4]=>0000000 [6,1,3,5,4,2,7,8]=>[8,7,2,4,5,3,1,6]=>0000000 [2,3,6,7,4,8,1,5]=>[5,1,8,4,7,6,3,2]=>0000000 [1,3,6,7,4,8,5,2]=>[2,5,8,4,7,6,3,1]=>0000000 [5,2,6,1,4,7,8,3]=>[3,8,7,4,1,6,2,5]=>0000000 [3,7,6,5,2,8,1,4]=>[4,1,8,2,5,6,7,3]=>0000000 [2,1,5,3,8,7,4,6]=>[6,4,7,8,3,5,1,2]=>0000000 [5,8,3,2,4,1,6,7]=>[7,6,1,4,2,3,8,5]=>0000000 [6,2,8,3,7,5,1,4]=>[4,1,5,7,3,8,2,6]=>0000000 [4,2,8,3,7,5,6,1]=>[1,6,5,7,3,8,2,4]=>1000000 [7,3,4,8,6,5,1,2]=>[2,1,5,6,8,4,3,7]=>0100000 [5,3,4,8,7,2,6,1]=>[1,6,2,7,8,4,3,5]=>1000000 [4,6,3,8,5,7,2,1]=>[1,2,7,5,8,3,6,4]=>1100000 [7,5,3,8,6,2,4,1]=>[1,4,2,6,8,3,5,7]=>1000000 [2,6,8,3,7,4,5,1]=>[1,5,4,7,3,8,6,2]=>1000000 [2,5,8,3,7,4,6,1]=>[1,6,4,7,3,8,5,2]=>1000000 [7,4,3,8,6,2,5,1]=>[1,5,2,6,8,3,4,7]=>1000000 [3,5,4,8,7,2,6,1]=>[1,6,2,7,8,4,5,3]=>1000000 [4,5,3,8,6,7,2,1]=>[1,2,7,6,8,3,5,4]=>1100000 [3,6,7,8,4,5,2,1]=>[1,2,5,4,8,7,6,3]=>1100000 [1,8,5,6,4,7,3,2]=>[2,3,7,4,6,5,8,1]=>0000000 [2,5,8,6,4,7,3,1]=>[1,3,7,4,6,8,5,2]=>1000000 [6,3,7,8,4,5,2,1]=>[1,2,5,4,8,7,3,6]=>1100000 [4,3,7,8,5,6,2,1]=>[1,2,6,5,8,7,3,4]=>1100000 [4,2,8,6,5,7,3,1]=>[1,3,7,5,6,8,2,4]=>1000000 [3,2,8,6,7,4,5,1]=>[1,5,4,7,6,8,2,3]=>1000000 [2,3,8,7,5,4,6,1]=>[1,6,4,5,7,8,3,2]=>1000000 [1,8,2,7,4,5,6,3]=>[3,6,5,4,7,2,8,1]=>0000000 [7,2,8,6,3,4,5,1]=>[1,5,4,3,6,8,2,7]=>1000000 [6,2,8,4,5,7,3,1]=>[1,3,7,5,4,8,2,6]=>1000000 [5,2,8,4,6,7,3,1]=>[1,3,7,6,4,8,2,5]=>1000000 [4,3,6,8,5,7,2,1]=>[1,2,7,5,8,6,3,4]=>1100000 [3,4,6,8,7,2,5,1]=>[1,5,2,7,8,6,4,3]=>1000000 [7,3,5,8,6,2,4,1]=>[1,4,2,6,8,5,3,7]=>1000000 [1,8,3,5,7,4,6,2]=>[2,6,4,7,5,3,8,1]=>0000000 [2,7,8,4,5,6,3,1]=>[1,3,6,5,4,8,7,2]=>1000000 [3,7,5,8,4,6,2,1]=>[1,2,6,4,8,5,7,3]=>1100000 [5,7,4,6,8,3,2,1]=>[1,2,3,8,6,4,7,5]=>1110000 [3,6,5,8,4,7,2,1]=>[1,2,7,4,8,5,6,3]=>1100000 [2,6,8,4,5,7,3,1]=>[1,3,7,5,4,8,6,2]=>1000000 [5,3,6,1,7,2,4,8]=>[8,4,2,7,1,6,3,5]=>0000000 [6,4,2,3,7,1,5,8]=>[8,5,1,7,3,2,4,6]=>0000000 [8,6,1,2,7,4,5,3]=>[3,5,4,7,2,1,6,8]=>0000001 [8,5,7,1,2,4,6,3]=>[3,6,4,2,1,7,5,8]=>0000001 [4,1,7,8,2,3,6,5]=>[5,6,3,2,8,7,1,4]=>0000000 [6,1,7,5,2,3,4,8]=>[8,4,3,2,5,7,1,6]=>0000000 [4,8,7,1,2,3,6,5]=>[5,6,3,2,1,7,8,4]=>0000000 [5,8,7,1,2,4,6,3]=>[3,6,4,2,1,7,8,5]=>0000000 [5,8,6,4,1,2,3,7]=>[7,3,2,1,4,6,8,5]=>0000000 [8,2,4,1,7,3,5,6]=>[6,5,3,7,1,4,2,8]=>0000001 [2,7,4,1,8,3,5,6]=>[6,5,3,8,1,4,7,2]=>0000000 [5,8,2,6,4,3,1,7]=>[7,1,3,4,6,2,8,5]=>0000000 [3,8,6,5,4,2,1,7]=>[7,1,2,4,5,6,8,3]=>0000000 [8,7,2,4,5,1,6,3]=>[3,6,1,5,4,2,7,8]=>0000011 [5,8,3,7,4,1,6,2]=>[2,6,1,4,7,3,8,5]=>0000000 [5,7,1,4,8,6,3,2]=>[2,3,6,8,4,1,7,5]=>0000000 [5,3,7,4,8,6,2,1]=>[1,2,6,8,4,7,3,5]=>1100000 [5,4,3,6,8,2,7,1]=>[1,7,2,8,6,3,4,5]=>1000000 [8,5,1,7,2,6,4,3]=>[3,4,6,2,7,1,5,8]=>0000001 [8,7,1,4,5,2,6,3]=>[3,6,2,5,4,1,7,8]=>0000011 [7,6,3,1,5,2,8,4]=>[4,8,2,5,1,3,6,7]=>0000000 [7,5,1,8,2,6,3,4]=>[4,3,6,2,8,1,5,7]=>0000000 [8,7,3,1,5,4,2,6]=>[6,2,4,5,1,3,7,8]=>0000011 [5,3,7,6,4,1,2,8]=>[8,2,1,4,6,7,3,5]=>0000000 [3,5,7,1,4,6,8,2]=>[2,8,6,4,1,7,5,3]=>0000000 [3,5,4,7,1,6,8,2]=>[2,8,6,1,7,4,5,3]=>0000000 [3,5,4,7,2,1,6,8]=>[8,6,1,2,7,4,5,3]=>0000000 [3,5,4,2,7,1,6,8]=>[8,6,1,7,2,4,5,3]=>0000000 [3,2,7,5,1,8,6,4]=>[4,6,8,1,5,7,2,3]=>0000000 [3,2,7,5,1,8,4,6]=>[6,4,8,1,5,7,2,3]=>0000000 [5,8,3,4,1,7,6,2]=>[2,6,7,1,4,3,8,5]=>0000000 [5,8,7,2,4,1,6,3]=>[3,6,1,4,2,7,8,5]=>0000000 [3,8,6,4,1,7,5,2]=>[2,5,7,1,4,6,8,3]=>0000000 [4,3,5,6,8,1,7,2]=>[2,7,1,8,6,5,3,4]=>0000000 [3,7,6,4,1,8,5,2]=>[2,5,8,1,4,6,7,3]=>0000000 [3,7,4,1,8,6,5,2]=>[2,5,6,8,1,4,7,3]=>0000000 [3,8,4,1,7,6,5,2]=>[2,5,6,7,1,4,8,3]=>0000000 [3,2,7,6,1,5,4,8]=>[8,4,5,1,6,7,2,3]=>0000000 [5,7,8,2,4,1,6,3]=>[3,6,1,4,2,8,7,5]=>0000000 [4,2,5,8,1,6,7,3]=>[3,7,6,1,8,5,2,4]=>0000000 [5,8,2,4,1,6,3,7]=>[7,3,6,1,4,2,8,5]=>0000000 [8,4,2,6,5,1,3,7]=>[7,3,1,5,6,2,4,8]=>0000001 [3,2,6,8,1,5,4,7]=>[7,4,5,1,8,6,2,3]=>0000000 [8,3,2,5,6,1,4,7]=>[7,4,1,6,5,2,3,8]=>0000001 [3,2,8,6,7,1,5,4]=>[4,5,1,7,6,8,2,3]=>0000000 [3,2,6,8,7,1,5,4]=>[4,5,1,7,8,6,2,3]=>0000000 [3,2,6,7,1,5,4,8]=>[8,4,5,1,7,6,2,3]=>0000000 [8,7,3,2,5,6,1,4]=>[4,1,6,5,2,3,7,8]=>0000011 [7,2,8,1,5,3,6,4]=>[4,6,3,5,1,8,2,7]=>0000000 [8,4,2,7,5,1,3,6]=>[6,3,1,5,7,2,4,8]=>0000001 [7,4,2,8,5,1,3,6]=>[6,3,1,5,8,2,4,7]=>0000000 [7,2,4,1,8,3,6,5]=>[5,6,3,8,1,4,2,7]=>0000000 [8,5,3,6,2,4,7,1]=>[1,7,4,2,6,3,5,8]=>1000001 [2,7,5,4,8,6,1,3]=>[3,1,6,8,4,5,7,2]=>0000000 [3,6,4,2,8,7,1,5]=>[5,1,7,8,2,4,6,3]=>0000000 [3,6,4,1,8,7,2,5]=>[5,2,7,8,1,4,6,3]=>0000000 [7,6,1,3,5,4,8,2]=>[2,8,4,5,3,1,6,7]=>0000000 [7,6,5,8,3,1,4,2]=>[2,4,1,3,8,5,6,7]=>0001000 [7,2,3,1,5,8,6,4]=>[4,6,8,5,1,3,2,7]=>0000000 [7,1,5,6,3,8,4,2]=>[2,4,8,3,6,5,1,7]=>0000000 [7,6,1,3,4,5,8,2]=>[2,8,5,4,3,1,6,7]=>0000000 [3,4,6,8,7,2,1,5]=>[5,1,2,7,8,6,4,3]=>0000000 [3,5,6,8,2,1,7,4]=>[4,7,1,2,8,6,5,3]=>0000000 [4,2,1,5,3,7,8,6]=>[6,8,7,3,5,1,2,4]=>0000000 [4,2,5,6,3,1,8,7]=>[7,8,1,3,6,5,2,4]=>0000000 [3,5,6,8,1,7,2,4]=>[4,2,7,1,8,6,5,3]=>0000000 [4,1,5,6,3,2,8,7]=>[7,8,2,3,6,5,1,4]=>0000000 [4,5,3,1,7,2,8,6]=>[6,8,2,7,1,3,5,4]=>0000000 [2,5,4,7,3,8,6,1]=>[1,6,8,3,7,4,5,2]=>1000000 [3,5,7,1,8,4,2,6]=>[6,2,4,8,1,7,5,3]=>0000000 [4,1,5,3,2,7,8,6]=>[6,8,7,2,3,5,1,4]=>0000000 [4,5,3,7,1,2,8,6]=>[6,8,2,1,7,3,5,4]=>0000000 [4,3,6,1,2,7,5,8]=>[8,5,7,2,1,6,3,4]=>0000000 [5,1,3,2,4,6,7,8]=>[8,7,6,4,2,3,1,5]=>0000000 [3,6,1,7,4,5,2,8]=>[8,2,5,4,7,1,6,3]=>0000000 [5,3,1,4,2,6,7,8]=>[8,7,6,2,4,1,3,5]=>0000000 [4,5,2,3,7,1,8,6]=>[6,8,1,7,3,2,5,4]=>0000000 [4,2,6,1,3,7,5,8]=>[8,5,7,3,1,6,2,4]=>0000000 [4,6,2,1,3,7,5,8]=>[8,5,7,3,1,2,6,4]=>0000000 [3,6,2,1,7,4,8,5]=>[5,8,4,7,1,2,6,3]=>0000000 [3,1,4,7,6,5,2,8]=>[8,2,5,6,7,4,1,3]=>0000000 [3,6,2,7,1,5,8,4]=>[4,8,5,1,7,2,6,3]=>0000000 [4,6,2,7,1,3,5,8]=>[8,5,3,1,7,2,6,4]=>0000000 [3,5,7,1,8,2,6,4]=>[4,6,2,8,1,7,5,3]=>0000000 [5,1,4,2,3,6,7,8]=>[8,7,6,3,2,4,1,5]=>0000000 [2,6,5,3,4,7,8,1]=>[1,8,7,4,3,5,6,2]=>1000000 [5,1,4,3,2,6,7,8]=>[8,7,6,2,3,4,1,5]=>0000000 [5,4,1,3,2,6,7,8]=>[8,7,6,2,3,1,4,5]=>0000000 [6,2,4,5,1,8,3,7]=>[7,3,8,1,5,4,2,6]=>0000000 [2,8,1,6,7,4,5,3]=>[3,5,4,7,6,1,8,2]=>0000000 [2,8,6,1,4,7,5,3]=>[3,5,7,4,1,6,8,2]=>0000000 [2,8,1,6,4,7,5,3]=>[3,5,7,4,6,1,8,2]=>0000000 [6,4,5,2,8,3,1,7]=>[7,1,3,8,2,5,4,6]=>0000000 [6,4,5,8,2,3,7,1]=>[1,7,3,2,8,5,4,6]=>1000000 [2,4,8,1,3,6,7,5]=>[5,7,6,3,1,8,4,2]=>0000000 [6,4,8,2,5,3,7,1]=>[1,7,3,5,2,8,4,6]=>1000000 [2,8,1,4,6,7,3,5]=>[5,3,7,6,4,1,8,2]=>0000000 [5,1,8,3,6,4,7,2]=>[2,7,4,6,3,8,1,5]=>0000000 [1,8,4,6,7,2,5,3]=>[3,5,2,7,6,4,8,1]=>0000000 [5,3,8,1,7,2,6,4]=>[4,6,2,7,1,8,3,5]=>0000000 [6,3,4,8,2,7,5,1]=>[1,5,7,2,8,4,3,6]=>1000000 [4,2,7,6,3,1,8,5]=>[5,8,1,3,6,7,2,4]=>0000000 [7,6,3,1,8,4,2,5]=>[5,2,4,8,1,3,6,7]=>0000000 [8,7,5,2,4,6,3,1]=>[1,3,6,4,2,5,7,8]=>1000011 [7,5,2,1,8,3,6,4]=>[4,6,3,8,1,2,5,7]=>0000000 [7,5,2,8,6,3,1,4]=>[4,1,3,6,8,2,5,7]=>0000000 [8,7,5,2,1,3,6,4]=>[4,6,3,1,2,5,7,8]=>0000011 [1,3,7,6,5,8,2,4]=>[4,2,8,5,6,7,3,1]=>0000000 [6,4,7,5,2,1,3,8]=>[8,3,1,2,5,7,4,6]=>0000000 [6,3,1,4,8,7,5,2]=>[2,5,7,8,4,1,3,6]=>0000000 [6,3,8,7,4,1,5,2]=>[2,5,1,4,7,8,3,6]=>0000000 [4,6,7,2,5,3,1,8]=>[8,1,3,5,2,7,6,4]=>0000000 [3,6,7,4,8,1,5,2]=>[2,5,1,8,4,7,6,3]=>0000000 [3,4,6,8,7,1,5,2]=>[2,5,1,7,8,6,4,3]=>0000000 [1,4,7,8,2,6,5,3]=>[3,5,6,2,8,7,4,1]=>0000000 [2,4,7,8,1,6,5,3]=>[3,5,6,1,8,7,4,2]=>0000000 [4,2,6,8,7,1,5,3]=>[3,5,1,7,8,6,2,4]=>0000000 [6,8,3,7,1,5,4,2]=>[2,4,5,1,7,3,8,6]=>0000000 [2,6,8,4,1,7,5,3]=>[3,5,7,1,4,8,6,2]=>0000000 [4,5,8,6,3,1,7,2]=>[2,7,1,3,6,8,5,4]=>0000000 [2,5,8,4,7,3,6,1]=>[1,6,3,7,4,8,5,2]=>1000000 [4,5,8,1,7,6,2,3]=>[3,2,6,7,1,8,5,4]=>0000000 [3,5,8,4,7,1,6,2]=>[2,6,1,7,4,8,5,3]=>0000000 [3,6,4,8,7,5,2,1]=>[1,2,5,7,8,4,6,3]=>1100000 [2,6,4,3,7,1,8,5]=>[5,8,1,7,3,4,6,2]=>0000000 [7,2,3,4,1,6,8,5]=>[5,8,6,1,4,3,2,7]=>0000000 [1,2,4,3,8,5,7,6]=>[6,7,5,8,3,4,2,1]=>0000000 [7,3,8,6,1,4,2,5]=>[5,2,4,1,6,8,3,7]=>0000000 [1,5,8,4,7,6,2,3]=>[3,2,6,7,4,8,5,1]=>0000000 [3,5,8,1,6,7,2,4]=>[4,2,7,6,1,8,5,3]=>0000000 [4,1,6,5,8,2,7,3]=>[3,7,2,8,5,6,1,4]=>0000000 [3,1,6,5,8,4,7,2]=>[2,7,4,8,5,6,1,3]=>0000000 [3,2,6,5,8,4,7,1]=>[1,7,4,8,5,6,2,3]=>1000000 [4,3,7,1,6,5,8,2]=>[2,8,5,6,1,7,3,4]=>0000000 [5,1,6,4,8,2,7,3]=>[3,7,2,8,4,6,1,5]=>0000000 [5,2,6,4,8,1,7,3]=>[3,7,1,8,4,6,2,5]=>0000000 [4,3,7,5,8,1,6,2]=>[2,6,1,8,5,7,3,4]=>0000000 [4,3,7,5,8,2,6,1]=>[1,6,2,8,5,7,3,4]=>1000000 [5,3,7,4,8,2,6,1]=>[1,6,2,8,4,7,3,5]=>1000000 [5,3,7,4,8,1,6,2]=>[2,6,1,8,4,7,3,5]=>0000000 [5,4,8,1,6,2,7,3]=>[3,7,2,6,1,8,4,5]=>0000000 [4,3,7,1,5,2,8,6]=>[6,8,2,5,1,7,3,4]=>0000000 [5,4,8,2,6,3,7,1]=>[1,7,3,6,2,8,4,5]=>1000000 [4,1,8,7,6,3,2,5]=>[5,2,3,6,7,8,1,4]=>0000000 [6,8,3,2,1,4,7,5]=>[5,7,4,1,2,3,8,6]=>0000000 [8,4,6,5,7,3,2,1]=>[1,2,3,7,5,6,4,8]=>1110001 [6,1,2,7,5,8,4,3]=>[3,4,8,5,7,2,1,6]=>0000000 [6,2,5,7,3,8,4,1]=>[1,4,8,3,7,5,2,6]=>1000000 [7,3,4,6,2,8,5,1]=>[1,5,8,2,6,4,3,7]=>1000000 [4,5,2,6,8,3,7,1]=>[1,7,3,8,6,2,5,4]=>1000000 [4,8,3,2,5,7,6,1]=>[1,6,7,5,2,3,8,4]=>1000000 [6,8,5,3,4,7,2,1]=>[1,2,7,4,3,5,8,6]=>1100000 [6,1,7,5,8,4,2,3]=>[3,2,4,8,5,7,1,6]=>0000000 [6,8,3,4,7,2,5,1]=>[1,5,2,7,4,3,8,6]=>1000000 [8,3,4,7,6,2,5,1]=>[1,5,2,6,7,4,3,8]=>1000001 [4,7,6,2,5,8,3,1]=>[1,3,8,5,2,6,7,4]=>1000000 [6,8,3,5,1,4,7,2]=>[2,7,4,1,5,3,8,6]=>0000000 [7,5,3,4,8,2,6,1]=>[1,6,2,8,4,3,5,7]=>1000000 [5,3,8,2,4,7,6,1]=>[1,6,7,4,2,8,3,5]=>1000000 [3,7,4,6,2,8,5,1]=>[1,5,8,2,6,4,7,3]=>1000000 [5,8,2,4,3,7,6,1]=>[1,6,7,3,4,2,8,5]=>1000000 [3,4,5,8,2,7,6,1]=>[1,6,7,2,8,5,4,3]=>1000000 [6,8,3,4,5,2,7,1]=>[1,7,2,5,4,3,8,6]=>1000000 [7,4,6,3,2,8,5,1]=>[1,5,8,2,3,6,4,7]=>1000000 [6,5,3,8,4,2,7,1]=>[1,7,2,4,8,3,5,6]=>1000000 [3,1,6,8,4,7,5,2]=>[2,5,7,4,8,6,1,3]=>0000000 [8,3,6,1,5,7,4,2]=>[2,4,7,5,1,6,3,8]=>0000001 [2,7,3,5,8,6,4,1]=>[1,4,6,8,5,3,7,2]=>1000000 [2,4,7,5,8,6,1,3]=>[3,1,6,8,5,7,4,2]=>0000000 [2,4,6,8,1,7,5,3]=>[3,5,7,1,8,6,4,2]=>0000000 [7,4,3,8,6,2,1,5]=>[5,1,2,6,8,3,4,7]=>0000000 [4,3,6,2,1,8,5,7]=>[7,5,8,1,2,6,3,4]=>0000000 [3,6,4,2,7,5,1,8]=>[8,1,5,7,2,4,6,3]=>0000000 [5,8,4,2,3,6,7,1]=>[1,7,6,3,2,4,8,5]=>1000000 [6,8,4,2,3,7,5,1]=>[1,5,7,3,2,4,8,6]=>1000000 [3,6,4,2,1,8,7,5]=>[5,7,8,1,2,4,6,3]=>0000000 [2,8,6,5,4,1,7,3]=>[3,7,1,4,5,6,8,2]=>0000000 [3,8,6,2,5,7,1,4]=>[4,1,7,5,2,6,8,3]=>0000000 [2,6,5,4,1,7,8,3]=>[3,8,7,1,4,5,6,2]=>0000000 [6,5,7,3,2,8,1,4]=>[4,1,8,2,3,7,5,6]=>0000000 [3,6,4,2,7,1,8,5]=>[5,8,1,7,2,4,6,3]=>0000000 [1,2,6,5,8,7,3,4]=>[4,3,7,8,5,6,2,1]=>0000000 [5,6,3,4,8,7,2,1]=>[1,2,7,8,4,3,6,5]=>1100000 [8,5,3,7,4,6,2,1]=>[1,2,6,4,7,3,5,8]=>1100001 [7,1,2,8,3,6,4,5]=>[5,4,6,3,8,2,1,7]=>0000000 [7,1,6,2,3,5,8,4]=>[4,8,5,3,2,6,1,7]=>0000000 [6,8,7,3,4,5,2,1]=>[1,2,5,4,3,7,8,6]=>1100100 [8,1,6,2,3,5,4,7]=>[7,4,5,3,2,6,1,8]=>0000001 [8,6,2,3,5,1,4,7]=>[7,4,1,5,3,2,6,8]=>0000001 [8,6,2,4,1,5,3,7]=>[7,3,5,1,4,2,6,8]=>0000001 [8,3,6,1,5,4,2,7]=>[7,2,4,5,1,6,3,8]=>0000001 [3,4,8,7,1,6,5,2]=>[2,5,6,1,7,8,4,3]=>0000000 [8,1,3,5,7,6,4,2]=>[2,4,6,7,5,3,1,8]=>0000001 [8,2,7,1,4,5,6,3]=>[3,6,5,4,1,7,2,8]=>0000001 [8,2,3,7,1,6,5,4]=>[4,5,6,1,7,3,2,8]=>0000001 [8,2,4,3,7,6,1,5]=>[5,1,6,7,3,4,2,8]=>0000001 [4,2,8,3,7,6,5,1]=>[1,5,6,7,3,8,2,4]=>1000000 [7,3,2,8,5,6,1,4]=>[4,1,6,5,8,2,3,7]=>0000000 [7,2,5,4,1,6,3,8]=>[8,3,6,1,4,5,2,7]=>0000000 [4,7,6,3,2,5,8,1]=>[1,8,5,2,3,6,7,4]=>1000000 [4,7,6,5,1,3,8,2]=>[2,8,3,1,5,6,7,4]=>0000000 [1,7,6,5,2,3,8,4]=>[4,8,3,2,5,6,7,1]=>0000000 [1,7,6,5,8,3,2,4]=>[4,2,3,8,5,6,7,1]=>0000000 [5,7,6,2,1,4,8,3]=>[3,8,4,1,2,6,7,5]=>0000000 [6,5,8,3,4,1,7,2]=>[2,7,1,4,3,8,5,6]=>0000000 [4,7,1,6,8,2,5,3]=>[3,5,2,8,6,1,7,4]=>0000000 [4,3,2,8,5,1,6,7]=>[7,6,1,5,8,2,3,4]=>0000000 [3,7,6,5,8,1,2,4]=>[4,2,1,8,5,6,7,3]=>0000000 [7,1,2,6,3,5,4,8]=>[8,4,5,3,6,2,1,7]=>0000000 [6,2,7,5,8,4,3,1]=>[1,3,4,8,5,7,2,6]=>1000000 [7,2,5,1,4,6,3,8]=>[8,3,6,4,1,5,2,7]=>0000000 [7,2,6,3,4,5,1,8]=>[8,1,5,4,3,6,2,7]=>0000000 [7,4,3,1,5,2,6,8]=>[8,6,2,5,1,3,4,7]=>0000000 [6,7,8,4,2,5,3,1]=>[1,3,5,2,4,8,7,6]=>1000100 [6,1,2,5,7,8,4,3]=>[3,4,8,7,5,2,1,6]=>0000000 [3,7,8,6,2,5,1,4]=>[4,1,5,2,6,8,7,3]=>0000000 [3,6,1,4,8,7,5,2]=>[2,5,7,8,4,1,6,3]=>0000000 [4,1,2,7,8,5,3,6]=>[6,3,5,8,7,2,1,4]=>0000000 [4,7,3,1,2,6,8,5]=>[5,8,6,2,1,3,7,4]=>0000000 [3,6,4,5,8,1,7,2]=>[2,7,1,8,5,4,6,3]=>0000000 [3,7,6,1,5,8,2,4]=>[4,2,8,5,1,6,7,3]=>0000000 [3,7,6,5,1,4,2,8]=>[8,2,4,1,5,6,7,3]=>0000000 [3,8,5,4,6,7,1,2]=>[2,1,7,6,4,5,8,3]=>0100000 [3,8,5,6,4,2,7,1]=>[1,7,2,4,6,5,8,3]=>1000000 [1,2,6,4,3,5,8,7]=>[7,8,5,3,4,6,2,1]=>0000000 [3,2,6,4,7,8,5,1]=>[1,5,8,7,4,6,2,3]=>1000000 [4,2,7,5,8,3,1,6]=>[6,1,3,8,5,7,2,4]=>0000000 [4,8,1,6,2,7,5,3]=>[3,5,7,2,6,1,8,4]=>0000000 [5,7,2,3,1,4,6,8]=>[8,6,4,1,3,2,7,5]=>0000000 [6,5,1,3,2,7,4,8]=>[8,4,7,2,3,1,5,6]=>0000000 [6,5,2,3,1,7,4,8]=>[8,4,7,1,3,2,5,6]=>0000000 [6,1,8,4,2,7,5,3]=>[3,5,7,2,4,8,1,6]=>0000000 [5,7,2,3,8,4,1,6]=>[6,1,4,8,3,2,7,5]=>0000000 [5,2,1,4,7,8,3,6]=>[6,3,8,7,4,1,2,5]=>0000000 [5,6,2,7,3,4,8,1]=>[1,8,4,3,7,2,6,5]=>1000000 [5,2,6,8,1,7,4,3]=>[3,4,7,1,8,6,2,5]=>0000000 [3,7,8,6,1,2,4,5]=>[5,4,2,1,6,8,7,3]=>0000000 [2,7,6,8,5,1,3,4]=>[4,3,1,5,8,6,7,2]=>0000000 [2,7,8,6,1,5,4,3]=>[3,4,5,1,6,8,7,2]=>0000000 [2,7,6,8,5,3,1,4]=>[4,1,3,5,8,6,7,2]=>0000000 [4,7,6,8,2,1,3,5]=>[5,3,1,2,8,6,7,4]=>0000000 [4,7,8,6,1,3,2,5]=>[5,2,3,1,6,8,7,4]=>0000000 [1,7,8,6,5,2,3,4]=>[4,3,2,5,6,8,7,1]=>0000000 [5,6,1,8,3,7,4,2]=>[2,4,7,3,8,1,6,5]=>0000000 [4,7,6,8,1,2,3,5]=>[5,3,2,1,8,6,7,4]=>0000000 [1,4,6,2,5,7,8,3]=>[3,8,7,5,2,6,4,1]=>0000000 [2,4,6,1,5,7,3,8]=>[8,3,7,5,1,6,4,2]=>0000000 [4,7,2,3,1,5,6,8]=>[8,6,5,1,3,2,7,4]=>0000000 [7,4,6,2,8,3,5,1]=>[1,5,3,8,2,6,4,7]=>1000000 [7,3,5,1,4,8,2,6]=>[6,2,8,4,1,5,3,7]=>0000000 [2,4,1,8,6,7,5,3]=>[3,5,7,6,8,1,4,2]=>0000000 [4,3,8,2,5,7,1,6]=>[6,1,7,5,2,8,3,4]=>0000000 [3,5,6,1,4,2,8,7]=>[7,8,2,4,1,6,5,3]=>0000000 [2,1,5,7,8,3,6,4]=>[4,6,3,8,7,5,1,2]=>0000000 [4,7,5,8,6,3,1,2]=>[2,1,3,6,8,5,7,4]=>0110000 [4,7,1,8,3,5,6,2]=>[2,6,5,3,8,1,7,4]=>0000000 [2,7,5,1,8,3,6,4]=>[4,6,3,8,1,5,7,2]=>0000000 [5,1,8,7,4,3,6,2]=>[2,6,3,4,7,8,1,5]=>0000000 [8,4,7,6,3,5,1,2]=>[2,1,5,3,6,7,4,8]=>0100001 [6,5,1,3,8,7,4,2]=>[2,4,7,8,3,1,5,6]=>0000000 [6,1,8,5,3,7,2,4]=>[4,2,7,3,5,8,1,6]=>0000000 [7,6,4,1,3,5,8,2]=>[2,8,5,3,1,4,6,7]=>0000000 [3,4,7,2,5,6,1,8]=>[8,1,6,5,2,7,4,3]=>0000000 [3,7,8,2,6,1,5,4]=>[4,5,1,6,2,8,7,3]=>0000000 [4,8,6,5,1,2,7,3]=>[3,7,2,1,5,6,8,4]=>0000000 [7,4,6,8,1,3,5,2]=>[2,5,3,1,8,6,4,7]=>0000000 [3,2,5,6,1,4,8,7]=>[7,8,4,1,6,5,2,3]=>0000000 [1,8,4,2,5,7,6,3]=>[3,6,7,5,2,4,8,1]=>0000000 [2,5,8,3,7,1,6,4]=>[4,6,1,7,3,8,5,2]=>0000000 [7,8,2,1,4,6,5,3]=>[3,5,6,4,1,2,8,7]=>0000010 [5,3,8,6,2,7,1,4]=>[4,1,7,2,6,8,3,5]=>0000000 [6,8,1,4,5,2,3,7]=>[7,3,2,5,4,1,8,6]=>0000000 [5,3,7,1,2,4,8,6]=>[6,8,4,2,1,7,3,5]=>0000000 [4,7,8,1,2,6,3,5]=>[5,3,6,2,1,8,7,4]=>0000000 [8,7,1,5,6,2,3,4]=>[4,3,2,6,5,1,7,8]=>0000011 [1,7,6,5,8,2,3,4]=>[4,3,2,8,5,6,7,1]=>0000000 [5,7,8,1,2,6,3,4]=>[4,3,6,2,1,8,7,5]=>0000000 [3,7,1,2,8,4,6,5]=>[5,6,4,8,2,1,7,3]=>0000000 [2,6,4,7,5,3,8,1]=>[1,8,3,5,7,4,6,2]=>1000000 [5,4,7,1,3,2,8,6]=>[6,8,2,3,1,7,4,5]=>0000000 [4,7,6,2,3,1,8,5]=>[5,8,1,3,2,6,7,4]=>0000000 [4,7,3,1,8,5,6,2]=>[2,6,5,8,1,3,7,4]=>0000000 [1,5,7,6,8,2,3,4]=>[4,3,2,8,6,7,5,1]=>0000000 [5,2,4,8,1,7,3,6]=>[6,3,7,1,8,4,2,5]=>0000000 [6,2,7,5,8,1,3,4]=>[4,3,1,8,5,7,2,6]=>0000000 [5,4,6,7,8,1,3,2]=>[2,3,1,8,7,6,4,5]=>0010000 [5,3,6,7,8,1,4,2]=>[2,4,1,8,7,6,3,5]=>0000000 [6,3,7,5,4,8,2,1]=>[1,2,8,4,5,7,3,6]=>1100000 [6,3,2,8,5,4,1,7]=>[7,1,4,5,8,2,3,6]=>0000000 [5,3,4,2,7,1,6,8]=>[8,6,1,7,2,4,3,5]=>0000000 [7,1,5,3,2,6,4,8]=>[8,4,6,2,3,5,1,7]=>0000000 [3,7,5,4,2,1,6,8]=>[8,6,1,2,4,5,7,3]=>0000000 [2,7,6,4,1,3,5,8]=>[8,5,3,1,4,6,7,2]=>0000000 [5,8,3,2,7,4,1,6]=>[6,1,4,7,2,3,8,5]=>0000000 [2,5,6,4,1,3,7,8]=>[8,7,3,1,4,6,5,2]=>0000000 [6,4,1,7,2,5,3,8]=>[8,3,5,2,7,1,4,6]=>0000000 [2,4,1,6,5,3,7,8]=>[8,7,3,5,6,1,4,2]=>0000000 [7,1,2,6,5,4,3,8]=>[8,3,4,5,6,2,1,7]=>0000000 [7,5,1,4,6,2,3,8]=>[8,3,2,6,4,1,5,7]=>0000000 [5,4,1,3,2,8,6,7]=>[7,6,8,2,3,1,4,5]=>0000000 [4,7,3,2,8,5,1,6]=>[6,1,5,8,2,3,7,4]=>0000000 [1,6,2,7,4,8,5,3]=>[3,5,8,4,7,2,6,1]=>0000000 [1,5,3,8,4,7,6,2]=>[2,6,7,4,8,3,5,1]=>0000000 [1,6,3,8,4,7,5,2]=>[2,5,7,4,8,3,6,1]=>0000000 [1,6,2,8,3,7,5,4]=>[4,5,7,3,8,2,6,1]=>0000000 [8,6,3,1,5,4,2,7]=>[7,2,4,5,1,3,6,8]=>0000001 [5,3,8,7,4,6,2,1]=>[1,2,6,4,7,8,3,5]=>1100000 [6,8,7,3,1,5,4,2]=>[2,4,5,1,3,7,8,6]=>0000100 [6,8,5,4,1,3,7,2]=>[2,7,3,1,4,5,8,6]=>0000000 [4,8,7,6,5,1,3,2]=>[2,3,1,5,6,7,8,4]=>0010000 [3,8,7,5,1,6,2,4]=>[4,2,6,1,5,7,8,3]=>0000000 [6,8,7,3,5,2,1,4]=>[4,1,2,5,3,7,8,6]=>0000100 [4,8,7,6,5,2,1,3]=>[3,1,2,5,6,7,8,4]=>0010000 [4,8,7,5,1,6,2,3]=>[3,2,6,1,5,7,8,4]=>0000000 [2,4,6,3,5,7,8,1]=>[1,8,7,5,3,6,4,2]=>1000000 [3,6,4,2,5,7,8,1]=>[1,8,7,5,2,4,6,3]=>1000000 [2,3,6,1,5,7,8,4]=>[4,8,7,5,1,6,3,2]=>0000000 [4,3,6,2,5,7,8,1]=>[1,8,7,5,2,6,3,4]=>1000000 [2,4,1,6,5,7,8,3]=>[3,8,7,5,6,1,4,2]=>0000000 [7,4,6,1,3,2,5,8]=>[8,5,2,3,1,6,4,7]=>0000000 [1,4,5,8,6,3,2,7]=>[7,2,3,6,8,5,4,1]=>0000000 [7,1,2,5,6,3,4,8]=>[8,4,3,6,5,2,1,7]=>0000000 [5,1,4,3,6,7,8,2]=>[2,8,7,6,3,4,1,5]=>0000000 [1,7,6,8,5,2,4,3]=>[3,4,2,5,8,6,7,1]=>0000000 [3,8,6,4,5,7,2,1]=>[1,2,7,5,4,6,8,3]=>1100000 [4,3,6,2,1,8,7,5]=>[5,7,8,1,2,6,3,4]=>0000000 [7,2,4,5,1,6,3,8]=>[8,3,6,1,5,4,2,7]=>0000000 [1,8,7,5,3,6,4,2]=>[2,4,6,3,5,7,8,1]=>0000000 [7,3,8,4,1,6,2,5]=>[5,2,6,1,4,8,3,7]=>0000000 [2,4,5,8,7,3,1,6]=>[6,1,3,7,8,5,4,2]=>0000000 [4,3,1,5,6,2,8,7]=>[7,8,2,6,5,1,3,4]=>0000000 [3,4,5,8,7,1,2,6]=>[6,2,1,7,8,5,4,3]=>0000000 [4,7,1,5,6,2,8,3]=>[3,8,2,6,5,1,7,4]=>0000000 [5,1,4,6,7,2,8,3]=>[3,8,2,7,6,4,1,5]=>0000000 [2,1,6,5,3,7,8,4]=>[4,8,7,3,5,6,1,2]=>0000000 [6,7,1,3,8,4,5,2]=>[2,5,4,8,3,1,7,6]=>0000000 [6,7,3,2,1,8,4,5]=>[5,4,8,1,2,3,7,6]=>0000000 [2,5,7,3,1,4,8,6]=>[6,8,4,1,3,7,5,2]=>0000000 [2,7,5,8,1,6,3,4]=>[4,3,6,1,8,5,7,2]=>0000000 [1,6,7,3,8,5,4,2]=>[2,4,5,8,3,7,6,1]=>0000000 [2,3,8,7,1,6,5,4]=>[4,5,6,1,7,8,3,2]=>0000000 [8,5,1,7,3,6,2,4]=>[4,2,6,3,7,1,5,8]=>0000001 [8,6,1,5,4,3,2,7]=>[7,2,3,4,5,1,6,8]=>0000001 [8,7,3,1,5,4,6,2]=>[2,6,4,5,1,3,7,8]=>0000011 [6,2,5,4,8,3,1,7]=>[7,1,3,8,4,5,2,6]=>0000000 [5,4,7,6,3,1,8,2]=>[2,8,1,3,6,7,4,5]=>0000000 [1,5,6,7,3,8,2,4]=>[4,2,8,3,7,6,5,1]=>0000000 [8,2,4,3,1,5,6,7]=>[7,6,5,1,3,4,2,8]=>0000001 [8,7,5,1,3,4,6,2]=>[2,6,4,3,1,5,7,8]=>0000011 [8,7,2,1,4,6,5,3]=>[3,5,6,4,1,2,7,8]=>0000011 [3,7,1,5,8,4,6,2]=>[2,6,4,8,5,1,7,3]=>0000000 [3,2,7,6,4,8,5,1]=>[1,5,8,4,6,7,2,3]=>1000000 [1,3,7,6,4,8,5,2]=>[2,5,8,4,6,7,3,1]=>0000000 [1,2,7,5,8,4,6,3]=>[3,6,4,8,5,7,2,1]=>0000000 [6,4,1,8,5,3,2,7]=>[7,2,3,5,8,1,4,6]=>0000000 [7,4,1,6,5,3,2,8]=>[8,2,3,5,6,1,4,7]=>0000000 [5,8,6,1,4,3,2,7]=>[7,2,3,4,1,6,8,5]=>0000000 [6,7,5,1,4,3,2,8]=>[8,2,3,4,1,5,7,6]=>0000000 [3,1,6,4,5,2,7,8]=>[8,7,2,5,4,6,1,3]=>0000000 [1,8,6,3,4,2,7,5]=>[5,7,2,4,3,6,8,1]=>0000000 [4,6,7,3,2,1,8,5]=>[5,8,1,2,3,7,6,4]=>0000000 [5,6,3,7,4,2,8,1]=>[1,8,2,4,7,3,6,5]=>1000000 [6,2,3,1,7,5,8,4]=>[4,8,5,7,1,3,2,6]=>0000000 [7,6,3,8,4,5,2,1]=>[1,2,5,4,8,3,6,7]=>1100000 [6,2,7,8,5,4,3,1]=>[1,3,4,5,8,7,2,6]=>1000000 [6,8,1,7,4,5,3,2]=>[2,3,5,4,7,1,8,6]=>0000000 [4,6,7,3,5,1,2,8]=>[8,2,1,5,3,7,6,4]=>0000000 [5,2,3,4,7,8,1,6]=>[6,1,8,7,4,3,2,5]=>0000000 [1,2,5,7,8,4,6,3]=>[3,6,4,8,7,5,2,1]=>0000000 [8,1,4,6,5,2,7,3]=>[3,7,2,5,6,4,1,8]=>0000001 [5,2,4,3,7,1,6,8]=>[8,6,1,7,3,4,2,5]=>0000000 [8,4,6,5,1,2,7,3]=>[3,7,2,1,5,6,4,8]=>0000001 [1,5,6,3,7,8,2,4]=>[4,2,8,7,3,6,5,1]=>0000000 [1,6,4,7,2,8,5,3]=>[3,5,8,2,7,4,6,1]=>0000000 [7,4,2,8,1,6,3,5]=>[5,3,6,1,8,2,4,7]=>0000000 [5,2,8,6,1,4,3,7]=>[7,3,4,1,6,8,2,5]=>0000000 [3,2,7,4,8,6,5,1]=>[1,5,6,8,4,7,2,3]=>1000000 [7,2,3,8,6,5,4,1]=>[1,4,5,6,8,3,2,7]=>1000000 [3,5,1,7,8,2,6,4]=>[4,6,2,8,7,1,5,3]=>0000000 [6,4,5,8,3,2,1,7]=>[7,1,2,3,8,5,4,6]=>0000000 [8,4,3,1,6,2,7,5]=>[5,7,2,6,1,3,4,8]=>0000001 [7,4,3,1,8,6,2,5]=>[5,2,6,8,1,3,4,7]=>0000000 [6,1,2,8,3,5,7,4]=>[4,7,5,3,8,2,1,6]=>0000000 [6,4,3,8,5,2,1,7]=>[7,1,2,5,8,3,4,6]=>0000000 [6,2,8,7,5,4,1,3]=>[3,1,4,5,7,8,2,6]=>0000000 [6,3,2,1,8,7,4,5]=>[5,4,7,8,1,2,3,6]=>0000000 [6,2,3,1,8,7,4,5]=>[5,4,7,8,1,3,2,6]=>0000000 [7,1,4,6,8,2,5,3]=>[3,5,2,8,6,4,1,7]=>0000000 [8,4,6,1,2,7,5,3]=>[3,5,7,2,1,6,4,8]=>0000001 [8,6,1,5,3,7,4,2]=>[2,4,7,3,5,1,6,8]=>0000001 [8,3,6,4,1,7,5,2]=>[2,5,7,1,4,6,3,8]=>0000001 [7,3,1,5,2,8,6,4]=>[4,6,8,2,5,1,3,7]=>0000000 [7,1,6,4,2,8,5,3]=>[3,5,8,2,4,6,1,7]=>0000000 [5,8,6,1,2,7,4,3]=>[3,4,7,2,1,6,8,5]=>0000000 [6,1,5,8,3,4,7,2]=>[2,7,4,3,8,5,1,6]=>0000000 [6,8,1,2,4,7,5,3]=>[3,5,7,4,2,1,8,6]=>0000000 [7,8,5,1,2,6,4,3]=>[3,4,6,2,1,5,8,7]=>0000010 [8,6,4,1,3,7,5,2]=>[2,5,7,3,1,4,6,8]=>0000001 [8,6,3,4,1,7,5,2]=>[2,5,7,1,4,3,6,8]=>0000001 [8,5,3,6,1,7,4,2]=>[2,4,7,1,6,3,5,8]=>0000001 [8,6,2,1,4,7,5,3]=>[3,5,7,4,1,2,6,8]=>0000001 [7,1,5,3,6,8,4,2]=>[2,4,8,6,3,5,1,7]=>0000000 [8,6,1,4,5,7,3,2]=>[2,3,7,5,4,1,6,8]=>0000001 [8,5,6,1,2,7,4,3]=>[3,4,7,2,1,6,5,8]=>0000001 [8,4,5,6,1,7,3,2]=>[2,3,7,1,6,5,4,8]=>0000001 [4,5,8,6,2,7,3,1]=>[1,3,7,2,6,8,5,4]=>1000000 [4,5,8,3,7,1,2,6]=>[6,2,1,7,3,8,5,4]=>0000000 [4,5,8,3,7,2,1,6]=>[6,1,2,7,3,8,5,4]=>0000000 [3,8,6,2,5,1,7,4]=>[4,7,1,5,2,6,8,3]=>0000000 [3,7,8,5,4,1,6,2]=>[2,6,1,4,5,8,7,3]=>0000000 [5,1,3,2,6,7,4,8]=>[8,4,7,6,2,3,1,5]=>0000000 [4,6,5,1,7,3,8,2]=>[2,8,3,7,1,5,6,4]=>0000000 [1,6,5,3,7,8,2,4]=>[4,2,8,7,3,5,6,1]=>0000000 [3,6,5,2,4,7,1,8]=>[8,1,7,4,2,5,6,3]=>0000000 [3,6,5,8,2,7,1,4]=>[4,1,7,2,8,5,6,3]=>0000000 [4,8,1,3,7,5,6,2]=>[2,6,5,7,3,1,8,4]=>0000000 [5,6,8,7,3,1,2,4]=>[4,2,1,3,7,8,6,5]=>0001000 [6,7,5,3,8,1,2,4]=>[4,2,1,8,3,5,7,6]=>0000000 [6,2,3,4,7,1,8,5]=>[5,8,1,7,4,3,2,6]=>0000000 [6,8,5,7,3,1,2,4]=>[4,2,1,3,7,5,8,6]=>0001000 [6,8,7,5,3,1,2,4]=>[4,2,1,3,5,7,8,6]=>0001100 [6,5,7,3,8,1,2,4]=>[4,2,1,8,3,7,5,6]=>0000000 [2,5,6,3,7,1,8,4]=>[4,8,1,7,3,6,5,2]=>0000000 [8,2,1,4,6,7,3,5]=>[5,3,7,6,4,1,2,8]=>0000001 [3,7,6,1,2,4,8,5]=>[5,8,4,2,1,6,7,3]=>0000000 [6,1,5,3,4,8,2,7]=>[7,2,8,4,3,5,1,6]=>0000000 [8,3,1,4,7,2,5,6]=>[6,5,2,7,4,1,3,8]=>0000001 [1,3,7,8,5,6,2,4]=>[4,2,6,5,8,7,3,1]=>0000000 [7,5,4,8,6,1,2,3]=>[3,2,1,6,8,4,5,7]=>0010000 [6,2,5,1,4,8,3,7]=>[7,3,8,4,1,5,2,6]=>0000000 [6,5,4,1,3,8,2,7]=>[7,2,8,3,1,4,5,6]=>0000000 [1,3,8,7,4,2,6,5]=>[5,6,2,4,7,8,3,1]=>0000000 [8,1,4,5,7,6,3,2]=>[2,3,6,7,5,4,1,8]=>0000001 [2,4,1,8,5,7,6,3]=>[3,6,7,5,8,1,4,2]=>0000000 [8,5,1,2,4,3,7,6]=>[6,7,3,4,2,1,5,8]=>0000001 [6,8,5,4,1,7,2,3]=>[3,2,7,1,4,5,8,6]=>0000000 [3,1,8,2,7,5,6,4]=>[4,6,5,7,2,8,1,3]=>0000000 [8,4,7,2,1,6,5,3]=>[3,5,6,1,2,7,4,8]=>0000001 [3,1,6,2,5,7,4,8]=>[8,4,7,5,2,6,1,3]=>0000000 [3,7,1,2,8,6,4,5]=>[5,4,6,8,2,1,7,3]=>0000000 [2,1,7,5,8,3,6,4]=>[4,6,3,8,5,7,1,2]=>0000000 [6,1,5,8,3,7,4,2]=>[2,4,7,3,8,5,1,6]=>0000000 [4,8,5,3,7,2,1,6]=>[6,1,2,7,3,5,8,4]=>0000000 [7,4,8,6,5,3,2,1]=>[1,2,3,5,6,8,4,7]=>1110000 [6,4,8,2,3,1,7,5]=>[5,7,1,3,2,8,4,6]=>0000000 [7,6,1,3,8,4,5,2]=>[2,5,4,8,3,1,6,7]=>0000000 [6,7,4,1,8,3,5,2]=>[2,5,3,8,1,4,7,6]=>0000000 [7,3,6,2,8,1,4,5]=>[5,4,1,8,2,6,3,7]=>0000000 [1,6,7,3,8,4,5,2]=>[2,5,4,8,3,7,6,1]=>0000000 [7,5,1,8,6,4,2,3]=>[3,2,4,6,8,1,5,7]=>0000000 [4,3,5,8,7,2,1,6]=>[6,1,2,7,8,5,3,4]=>0000000 [4,3,5,8,7,1,2,6]=>[6,2,1,7,8,5,3,4]=>0000000 [1,4,5,8,6,3,7,2]=>[2,7,3,6,8,5,4,1]=>0000000 [3,5,4,8,2,7,1,6]=>[6,1,7,2,8,4,5,3]=>0000000 [6,5,3,7,2,4,8,1]=>[1,8,4,2,7,3,5,6]=>1000000 [5,7,6,8,4,3,1,2]=>[2,1,3,4,8,6,7,5]=>0111000 [7,1,6,2,5,8,3,4]=>[4,3,8,5,2,6,1,7]=>0000000 [5,7,4,3,6,8,2,1]=>[1,2,8,6,3,4,7,5]=>1100000 [7,5,3,6,2,8,4,1]=>[1,4,8,2,6,3,5,7]=>1000000 [3,1,2,4,8,5,7,6]=>[6,7,5,8,4,2,1,3]=>0000000 [5,1,2,4,6,7,8,3]=>[3,8,7,6,4,2,1,5]=>0000000 [4,6,3,5,2,8,7,1]=>[1,7,8,2,5,3,6,4]=>1000000 [5,3,2,6,8,4,7,1]=>[1,7,4,8,6,2,3,5]=>1000000 [5,3,6,4,1,7,8,2]=>[2,8,7,1,4,6,3,5]=>0000000 [6,4,7,8,2,3,5,1]=>[1,5,3,2,8,7,4,6]=>1000000 [4,7,5,2,3,8,6,1]=>[1,6,8,3,2,5,7,4]=>1000000 [6,4,7,3,2,5,8,1]=>[1,8,5,2,3,7,4,6]=>1000000 [4,3,7,2,5,8,6,1]=>[1,6,8,5,2,7,3,4]=>1000000 [4,7,3,2,5,8,6,1]=>[1,6,8,5,2,3,7,4]=>1000000 [8,5,2,6,7,3,4,1]=>[1,4,3,7,6,2,5,8]=>1000001 [7,5,6,2,8,3,4,1]=>[1,4,3,8,2,6,5,7]=>1000000 [4,7,6,2,3,8,5,1]=>[1,5,8,3,2,6,7,4]=>1000000 [7,6,3,2,5,8,1,4]=>[4,1,8,5,2,3,6,7]=>0000000 [5,8,3,2,1,7,6,4]=>[4,6,7,1,2,3,8,5]=>0000000 [6,5,3,8,7,1,4,2]=>[2,4,1,7,8,3,5,6]=>0000000 [3,8,7,6,2,5,1,4]=>[4,1,5,2,6,7,8,3]=>0000000 [1,5,6,3,4,2,7,8]=>[8,7,2,4,3,6,5,1]=>0000000 [6,7,3,1,8,5,2,4]=>[4,2,5,8,1,3,7,6]=>0000000 [4,7,3,6,1,8,2,5]=>[5,2,8,1,6,3,7,4]=>0000000 [3,5,6,1,8,7,2,4]=>[4,2,7,8,1,6,5,3]=>0000000 [2,4,6,8,7,3,1,5]=>[5,1,3,7,8,6,4,2]=>0000000 [6,3,4,7,2,1,8,5]=>[5,8,1,2,7,4,3,6]=>0000000 [5,3,6,8,7,2,1,4]=>[4,1,2,7,8,6,3,5]=>0000000 [2,7,5,3,1,8,6,4]=>[4,6,8,1,3,5,7,2]=>0000000 [4,7,5,2,1,8,6,3]=>[3,6,8,1,2,5,7,4]=>0000000 [2,5,3,8,4,1,7,6]=>[6,7,1,4,8,3,5,2]=>0000000 [6,8,7,4,1,3,5,2]=>[2,5,3,1,4,7,8,6]=>0000100 [5,7,3,1,2,6,8,4]=>[4,8,6,2,1,3,7,5]=>0000000 [3,7,8,4,2,6,5,1]=>[1,5,6,2,4,8,7,3]=>1000000 [5,6,2,8,7,1,3,4]=>[4,3,1,7,8,2,6,5]=>0000000 [2,6,7,3,8,5,1,4]=>[4,1,5,8,3,7,6,2]=>0000000 [2,6,7,8,3,5,1,4]=>[4,1,5,3,8,7,6,2]=>0000000 [3,6,7,8,2,1,5,4]=>[4,5,1,2,8,7,6,3]=>0000000 [3,6,7,2,8,1,5,4]=>[4,5,1,8,2,7,6,3]=>0000000 [2,6,7,1,3,5,8,4]=>[4,8,5,3,1,7,6,2]=>0000000 [3,6,7,1,2,8,5,4]=>[4,5,8,2,1,7,6,3]=>0000000 [3,6,7,1,8,2,5,4]=>[4,5,2,8,1,7,6,3]=>0000000 [3,4,1,8,7,2,6,5]=>[5,6,2,7,8,1,4,3]=>0000000 [3,1,5,7,2,8,6,4]=>[4,6,8,2,7,5,1,3]=>0000000 [3,1,5,7,8,2,6,4]=>[4,6,2,8,7,5,1,3]=>0000000 [3,8,1,4,7,2,6,5]=>[5,6,2,7,4,1,8,3]=>0000000 [4,8,1,3,2,7,6,5]=>[5,6,7,2,3,1,8,4]=>0000000 [4,1,8,3,2,7,6,5]=>[5,6,7,2,3,8,1,4]=>0000000 [4,1,3,8,2,7,6,5]=>[5,6,7,2,8,3,1,4]=>0000000 [1,4,2,3,7,6,5,8]=>[8,5,6,7,3,2,4,1]=>0000000 [4,3,1,8,2,7,6,5]=>[5,6,7,2,8,1,3,4]=>0000000 [4,3,8,1,2,7,6,5]=>[5,6,7,2,1,8,3,4]=>0000000 [4,3,8,2,1,7,6,5]=>[5,6,7,1,2,8,3,4]=>0000000 [3,4,2,8,7,1,6,5]=>[5,6,1,7,8,2,4,3]=>0000000 [3,8,4,2,7,1,6,5]=>[5,6,1,7,2,4,8,3]=>0000000 [2,8,4,3,7,6,1,5]=>[5,1,6,7,3,4,8,2]=>0000000 [2,4,3,8,7,6,1,5]=>[5,1,6,7,8,3,4,2]=>0000000 [2,3,5,7,8,6,1,4]=>[4,1,6,8,7,5,3,2]=>0000000 [2,3,8,4,7,6,1,5]=>[5,1,6,7,4,8,3,2]=>0000000 [3,8,2,4,7,1,6,5]=>[5,6,1,7,4,2,8,3]=>0000000 [3,2,4,8,7,1,6,5]=>[5,6,1,7,8,4,2,3]=>0000000 [3,2,5,7,1,8,6,4]=>[4,6,8,1,7,5,2,3]=>0000000 [4,2,3,8,1,7,6,5]=>[5,6,7,1,8,3,2,4]=>0000000 [4,2,8,3,1,7,6,5]=>[5,6,7,1,3,8,2,4]=>0000000 [4,8,2,3,1,7,6,5]=>[5,6,7,1,3,2,8,4]=>0000000 [4,8,2,1,3,7,6,5]=>[5,6,7,3,1,2,8,4]=>0000000 [4,2,8,1,3,7,6,5]=>[5,6,7,3,1,8,2,4]=>0000000 [3,1,2,4,7,8,6,5]=>[5,6,8,7,4,2,1,3]=>0000000 [3,5,4,7,2,8,1,6]=>[6,1,8,2,7,4,5,3]=>0000000 [2,5,7,8,6,1,3,4]=>[4,3,1,6,8,7,5,2]=>0000000 [4,6,7,5,8,2,3,1]=>[1,3,2,8,5,7,6,4]=>1010000 [4,8,5,2,3,1,7,6]=>[6,7,1,3,2,5,8,4]=>0000000 [4,1,3,7,8,5,2,6]=>[6,2,5,8,7,3,1,4]=>0000000 [1,7,5,8,4,2,6,3]=>[3,6,2,4,8,5,7,1]=>0000000 [8,5,3,2,1,6,7,4]=>[4,7,6,1,2,3,5,8]=>0000001 [2,6,4,3,1,7,8,5]=>[5,8,7,1,3,4,6,2]=>0000000 [5,8,3,1,2,6,4,7]=>[7,4,6,2,1,3,8,5]=>0000000 [8,5,3,2,1,6,4,7]=>[7,4,6,1,2,3,5,8]=>0000001 [4,8,7,1,5,2,6,3]=>[3,6,2,5,1,7,8,4]=>0000000 [4,8,7,1,5,2,3,6]=>[6,3,2,5,1,7,8,4]=>0000000 [7,6,8,4,1,3,2,5]=>[5,2,3,1,4,8,6,7]=>0000100 [8,7,6,1,5,2,3,4]=>[4,3,2,5,1,6,7,8]=>0000111 [8,6,5,1,3,4,7,2]=>[2,7,4,3,1,5,6,8]=>0000001 [8,7,1,5,3,6,2,4]=>[4,2,6,3,5,1,7,8]=>0000011 [7,8,5,2,4,3,6,1]=>[1,6,3,4,2,5,8,7]=>1000010 [8,7,3,1,6,4,5,2]=>[2,5,4,6,1,3,7,8]=>0000011 [8,7,3,1,4,6,5,2]=>[2,5,6,4,1,3,7,8]=>0000011 [6,7,2,5,8,1,4,3]=>[3,4,1,8,5,2,7,6]=>0000000 [6,7,3,5,8,2,4,1]=>[1,4,2,8,5,3,7,6]=>1000000 [6,3,7,5,8,2,4,1]=>[1,4,2,8,5,7,3,6]=>1000000 [6,5,7,3,8,1,4,2]=>[2,4,1,8,3,7,5,6]=>0000000 [6,3,7,4,8,2,5,1]=>[1,5,2,8,4,7,3,6]=>1000000 [6,3,7,4,8,1,5,2]=>[2,5,1,8,4,7,3,6]=>0000000 [6,4,7,2,8,3,5,1]=>[1,5,3,8,2,7,4,6]=>1000000 [8,7,4,6,2,3,5,1]=>[1,5,3,2,6,4,7,8]=>1000011 [6,8,4,5,7,3,2,1]=>[1,2,3,7,5,4,8,6]=>1110000 [5,6,4,2,1,7,8,3]=>[3,8,7,1,2,4,6,5]=>0000000 [6,7,5,1,4,3,8,2]=>[2,8,3,4,1,5,7,6]=>0000000 [3,6,8,7,4,5,2,1]=>[1,2,5,4,7,8,6,3]=>1100000 [8,6,7,1,3,5,2,4]=>[4,2,5,3,1,7,6,8]=>0000101 [7,2,1,8,6,3,5,4]=>[4,5,3,6,8,1,2,7]=>0000000 [3,2,4,8,1,7,6,5]=>[5,6,7,1,8,4,2,3]=>0000000 [6,2,7,1,4,8,3,5]=>[5,3,8,4,1,7,2,6]=>0000000 [8,2,3,6,7,1,4,5]=>[5,4,1,7,6,3,2,8]=>0000001 [2,1,4,7,8,5,3,6]=>[6,3,5,8,7,4,1,2]=>0000000 [5,8,6,2,4,7,1,3]=>[3,1,7,4,2,6,8,5]=>0000000 [3,8,2,6,5,7,1,4]=>[4,1,7,5,6,2,8,3]=>0000000 [1,8,3,6,7,4,2,5]=>[5,2,4,7,6,3,8,1]=>0000000 [8,2,7,6,4,3,1,5]=>[5,1,3,4,6,7,2,8]=>0000001 [8,1,7,2,5,6,4,3]=>[3,4,6,5,2,7,1,8]=>0000001 [8,1,3,5,2,7,6,4]=>[4,6,7,2,5,3,1,8]=>0000001 [2,7,1,5,4,8,6,3]=>[3,6,8,4,5,1,7,2]=>0000000 [8,1,4,5,6,3,7,2]=>[2,7,3,6,5,4,1,8]=>0000001 [8,1,4,5,6,2,7,3]=>[3,7,2,6,5,4,1,8]=>0000001 [3,4,5,6,2,8,1,7]=>[7,1,8,2,6,5,4,3]=>0000000 [3,7,4,2,8,5,1,6]=>[6,1,5,8,2,4,7,3]=>0000000 [7,2,1,6,3,4,8,5]=>[5,8,4,3,6,1,2,7]=>0000000 [7,3,4,1,6,5,8,2]=>[2,8,5,6,1,4,3,7]=>0000000 [2,3,5,1,4,8,7,6]=>[6,7,8,4,1,5,3,2]=>0000000 [3,8,7,1,4,5,2,6]=>[6,2,5,4,1,7,8,3]=>0000000 [3,7,4,2,1,8,6,5]=>[5,6,8,1,2,4,7,3]=>0000000 [4,5,8,7,6,1,3,2]=>[2,3,1,6,7,8,5,4]=>0010000 [8,3,6,7,2,5,1,4]=>[4,1,5,2,7,6,3,8]=>0000001 [8,5,2,7,6,1,3,4]=>[4,3,1,6,7,2,5,8]=>0000001 [8,6,4,1,7,5,2,3]=>[3,2,5,7,1,4,6,8]=>0000001 [7,6,3,8,1,4,2,5]=>[5,2,4,1,8,3,6,7]=>0000000 [5,6,3,2,1,7,4,8]=>[8,4,7,1,2,3,6,5]=>0000000 [8,6,4,1,2,7,5,3]=>[3,5,7,2,1,4,6,8]=>0000001 [8,7,4,1,2,5,3,6]=>[6,3,5,2,1,4,7,8]=>0000011 [3,6,1,7,4,8,5,2]=>[2,5,8,4,7,1,6,3]=>0000000 [2,3,6,1,8,7,4,5]=>[5,4,7,8,1,6,3,2]=>0000000 [1,7,4,8,5,6,3,2]=>[2,3,6,5,8,4,7,1]=>0000000 [8,5,2,7,6,3,1,4]=>[4,1,3,6,7,2,5,8]=>0000001 [8,2,3,5,6,1,7,4]=>[4,7,1,6,5,3,2,8]=>0000001 [5,4,2,7,8,6,1,3]=>[3,1,6,8,7,2,4,5]=>0000000 [6,7,1,8,3,2,4,5]=>[5,4,2,3,8,1,7,6]=>0000000 [6,7,2,8,1,3,4,5]=>[5,4,3,1,8,2,7,6]=>0000000 [7,8,6,1,3,4,2,5]=>[5,2,4,3,1,6,8,7]=>0000110 [7,6,1,2,5,3,8,4]=>[4,8,3,5,2,1,6,7]=>0000000 [4,3,2,8,7,1,6,5]=>[5,6,1,7,8,2,3,4]=>0000000 [7,4,1,8,6,5,3,2]=>[2,3,5,6,8,1,4,7]=>0000000 [5,8,4,2,1,7,6,3]=>[3,6,7,1,2,4,8,5]=>0000000 [6,1,8,5,4,3,7,2]=>[2,7,3,4,5,8,1,6]=>0000000 [6,5,1,7,3,4,8,2]=>[2,8,4,3,7,1,5,6]=>0000000 [7,3,4,8,1,6,5,2]=>[2,5,6,1,8,4,3,7]=>0000000 [6,1,5,8,4,7,2,3]=>[3,2,7,4,8,5,1,6]=>0000000 [8,5,6,1,4,7,2,3]=>[3,2,7,4,1,6,5,8]=>0000001 [5,8,7,2,3,4,6,1]=>[1,6,4,3,2,7,8,5]=>1000000 [7,2,5,6,1,4,8,3]=>[3,8,4,1,6,5,2,7]=>0000000 [5,2,6,8,1,4,7,3]=>[3,7,4,1,8,6,2,5]=>0000000 [1,6,8,5,2,4,7,3]=>[3,7,4,2,5,8,6,1]=>0000000 [5,7,6,2,8,3,1,4]=>[4,1,3,8,2,6,7,5]=>0000000 [2,5,6,3,1,4,8,7]=>[7,8,4,1,3,6,5,2]=>0000000 [7,1,8,3,2,5,4,6]=>[6,4,5,2,3,8,1,7]=>0000000 [2,5,6,8,7,3,1,4]=>[4,1,3,7,8,6,5,2]=>0000000 [4,6,5,8,7,3,1,2]=>[2,1,3,7,8,5,6,4]=>0110000 [8,3,1,7,2,6,4,5]=>[5,4,6,2,7,1,3,8]=>0000001 [8,6,5,1,7,2,4,3]=>[3,4,2,7,1,5,6,8]=>0000001 [6,7,5,1,3,8,4,2]=>[2,4,8,3,1,5,7,6]=>0000000 [6,7,1,4,2,8,5,3]=>[3,5,8,2,4,1,7,6]=>0000000 [5,7,1,4,2,8,6,3]=>[3,6,8,2,4,1,7,5]=>0000000 [6,7,4,1,3,8,5,2]=>[2,5,8,3,1,4,7,6]=>0000000 [2,1,6,4,8,3,7,5]=>[5,7,3,8,4,6,1,2]=>0000000 [4,7,8,5,3,6,2,1]=>[1,2,6,3,5,8,7,4]=>1100000 [4,5,8,6,3,7,2,1]=>[1,2,7,3,6,8,5,4]=>1100000 [4,5,8,3,7,6,2,1]=>[1,2,6,7,3,8,5,4]=>1100000 [4,8,2,5,7,3,1,6]=>[6,1,3,7,5,2,8,4]=>0000000 [4,5,8,2,6,3,1,7]=>[7,1,3,6,2,8,5,4]=>0000000 [6,3,5,2,4,7,1,8]=>[8,1,7,4,2,5,3,6]=>0000000 [5,2,6,3,4,8,1,7]=>[7,1,8,4,3,6,2,5]=>0000000 [6,5,1,3,2,8,4,7]=>[7,4,8,2,3,1,5,6]=>0000000 [2,8,7,1,4,3,6,5]=>[5,6,3,4,1,7,8,2]=>0000000 [1,2,7,8,4,3,6,5]=>[5,6,3,4,8,7,2,1]=>0000000 [2,8,5,4,1,3,7,6]=>[6,7,3,1,4,5,8,2]=>0000000 [4,8,6,5,3,1,2,7]=>[7,2,1,3,5,6,8,4]=>0000000 [5,4,6,3,1,7,2,8]=>[8,2,7,1,3,6,4,5]=>0000000 [3,8,1,6,4,7,2,5]=>[5,2,7,4,6,1,8,3]=>0000000 [8,1,4,5,7,3,2,6]=>[6,2,3,7,5,4,1,8]=>0000001 [7,6,5,2,8,4,3,1]=>[1,3,4,8,2,5,6,7]=>1000000 [2,7,3,5,8,1,6,4]=>[4,6,1,8,5,3,7,2]=>0000000 [8,5,1,6,7,3,2,4]=>[4,2,3,7,6,1,5,8]=>0000001 [3,2,6,7,1,8,5,4]=>[4,5,8,1,7,6,2,3]=>0000000 [6,1,3,7,8,2,5,4]=>[4,5,2,8,7,3,1,6]=>0000000 [5,7,2,8,1,4,6,3]=>[3,6,4,1,8,2,7,5]=>0000000 [2,7,5,8,6,1,3,4]=>[4,3,1,6,8,5,7,2]=>0000000 [1,6,2,7,8,5,3,4]=>[4,3,5,8,7,2,6,1]=>0000000 [8,6,1,2,7,3,4,5]=>[5,4,3,7,2,1,6,8]=>0000001 [6,8,7,2,5,4,1,3]=>[3,1,4,5,2,7,8,6]=>0000100 [2,7,4,8,3,6,1,5]=>[5,1,6,3,8,4,7,2]=>0000000 [4,7,3,8,6,1,5,2]=>[2,5,1,6,8,3,7,4]=>0000000 [4,7,3,8,6,2,1,5]=>[5,1,2,6,8,3,7,4]=>0000000 [2,4,3,6,8,7,1,5]=>[5,1,7,8,6,3,4,2]=>0000000 [3,6,7,4,1,2,8,5]=>[5,8,2,1,4,7,6,3]=>0000000 [4,3,2,7,1,6,8,5]=>[5,8,6,1,7,2,3,4]=>0000000 [7,4,8,1,5,6,3,2]=>[2,3,6,5,1,8,4,7]=>0000000 [6,8,2,1,5,3,7,4]=>[4,7,3,5,1,2,8,6]=>0000000 [5,7,8,4,6,3,2,1]=>[1,2,3,6,4,8,7,5]=>1110000 [4,3,5,2,8,6,7,1]=>[1,7,6,8,2,5,3,4]=>1000000 [4,8,5,3,2,6,7,1]=>[1,7,6,2,3,5,8,4]=>1000000 [3,8,4,5,2,6,7,1]=>[1,7,6,2,5,4,8,3]=>1000000 [2,5,7,4,6,8,3,1]=>[1,3,8,6,4,7,5,2]=>1000000 [7,5,2,4,3,8,6,1]=>[1,6,8,3,4,2,5,7]=>1000000 [3,4,5,8,2,6,7,1]=>[1,7,6,2,8,5,4,3]=>1000000 [6,3,2,5,8,4,7,1]=>[1,7,4,8,5,2,3,6]=>1000000 [5,4,8,3,2,6,7,1]=>[1,7,6,2,3,8,4,5]=>1000000 [3,4,5,2,7,1,6,8]=>[8,6,1,7,2,5,4,3]=>0000000 [8,4,6,2,3,1,5,7]=>[7,5,1,3,2,6,4,8]=>0000001 [8,5,2,6,3,4,1,7]=>[7,1,4,3,6,2,5,8]=>0000001 [3,4,5,2,8,6,1,7]=>[7,1,6,8,2,5,4,3]=>0000000 [3,4,5,2,8,6,7,1]=>[1,7,6,8,2,5,4,3]=>1000000 [3,4,5,2,6,8,1,7]=>[7,1,8,6,2,5,4,3]=>0000000 [6,8,2,5,1,3,7,4]=>[4,7,3,1,5,2,8,6]=>0000000 [6,7,4,2,1,5,3,8]=>[8,3,5,1,2,4,7,6]=>0000000 [6,5,1,2,8,3,4,7]=>[7,4,3,8,2,1,5,6]=>0000000 [6,4,2,8,3,7,1,5]=>[5,1,7,3,8,2,4,6]=>0000000 [5,2,1,8,3,7,4,6]=>[6,4,7,3,8,1,2,5]=>0000000 [7,2,8,4,6,1,3,5]=>[5,3,1,6,4,8,2,7]=>0000000 [4,8,6,1,5,7,2,3]=>[3,2,7,5,1,6,8,4]=>0000000 [3,4,8,2,5,7,1,6]=>[6,1,7,5,2,8,4,3]=>0000000 [7,1,3,4,6,2,8,5]=>[5,8,2,6,4,3,1,7]=>0000000 [1,7,3,4,6,2,8,5]=>[5,8,2,6,4,3,7,1]=>0000000 [5,2,1,3,8,6,4,7]=>[7,4,6,8,3,1,2,5]=>0000000 [6,2,1,3,8,7,4,5]=>[5,4,7,8,3,1,2,6]=>0000000 [1,2,5,4,8,7,3,6]=>[6,3,7,8,4,5,2,1]=>0000000 [2,7,4,1,8,6,3,5]=>[5,3,6,8,1,4,7,2]=>0000000 [7,6,2,5,3,4,1,8]=>[8,1,4,3,5,2,6,7]=>0000000 [7,6,2,4,5,3,1,8]=>[8,1,3,5,4,2,6,7]=>0000000 [7,6,2,4,3,5,1,8]=>[8,1,5,3,4,2,6,7]=>0000000 [7,6,2,3,5,4,1,8]=>[8,1,4,5,3,2,6,7]=>0000000 [8,4,2,7,1,6,3,5]=>[5,3,6,1,7,2,4,8]=>0000001 [4,6,3,2,8,1,7,5]=>[5,7,1,8,2,3,6,4]=>0000000 [8,7,6,1,5,3,2,4]=>[4,2,3,5,1,6,7,8]=>0000111 [7,8,4,3,1,5,6,2]=>[2,6,5,1,3,4,8,7]=>0000010 [8,7,6,1,3,5,4,2]=>[2,4,5,3,1,6,7,8]=>0000111 [8,7,6,1,5,4,2,3]=>[3,2,4,5,1,6,7,8]=>0000111 [4,5,3,8,2,1,6,7]=>[7,6,1,2,8,3,5,4]=>0000000 [8,3,5,4,2,1,6,7]=>[7,6,1,2,4,5,3,8]=>0000001 [7,8,4,3,1,5,2,6]=>[6,2,5,1,3,4,8,7]=>0000010 [8,7,6,1,2,5,3,4]=>[4,3,5,2,1,6,7,8]=>0000111 [8,7,6,1,2,5,4,3]=>[3,4,5,2,1,6,7,8]=>0000111 [5,7,6,4,2,3,1,8]=>[8,1,3,2,4,6,7,5]=>0000000 [2,4,6,8,5,1,7,3]=>[3,7,1,5,8,6,4,2]=>0000000 [6,8,7,4,2,1,5,3]=>[3,5,1,2,4,7,8,6]=>0000100 [4,3,2,7,8,6,1,5]=>[5,1,6,8,7,2,3,4]=>0000000 [5,6,8,4,7,3,1,2]=>[2,1,3,7,4,8,6,5]=>0110000 [4,8,1,5,7,6,3,2]=>[2,3,6,7,5,1,8,4]=>0000000 [8,2,3,6,4,5,1,7]=>[7,1,5,4,6,3,2,8]=>0000001 [5,8,4,2,6,7,3,1]=>[1,3,7,6,2,4,8,5]=>1000000 [1,4,3,2,8,5,7,6]=>[6,7,5,8,2,3,4,1]=>0000000 [5,1,8,3,6,7,4,2]=>[2,4,7,6,3,8,1,5]=>0000000 [8,4,1,6,5,2,3,7]=>[7,3,2,5,6,1,4,8]=>0000001 [3,2,7,5,6,8,4,1]=>[1,4,8,6,5,7,2,3]=>1000000 [6,1,8,7,5,3,4,2]=>[2,4,3,5,7,8,1,6]=>0000000 [6,8,7,3,2,4,1,5]=>[5,1,4,2,3,7,8,6]=>0000100 [3,8,7,6,4,2,5,1]=>[1,5,2,4,6,7,8,3]=>1000000 [5,3,2,6,4,7,8,1]=>[1,8,7,4,6,2,3,5]=>1000000 [7,3,5,2,8,4,6,1]=>[1,6,4,8,2,5,3,7]=>1000000 [2,3,5,7,4,6,8,1]=>[1,8,6,4,7,5,3,2]=>1000000 [7,5,3,2,8,6,4,1]=>[1,4,6,8,2,3,5,7]=>1000000 [3,8,6,2,5,1,4,7]=>[7,4,1,5,2,6,8,3]=>0000000 [2,4,6,3,8,7,5,1]=>[1,5,7,8,3,6,4,2]=>1000000 [2,5,3,8,7,6,4,1]=>[1,4,6,7,8,3,5,2]=>1000000 [6,3,1,8,7,4,2,5]=>[5,2,4,7,8,1,3,6]=>0000000 [5,8,3,1,7,6,4,2]=>[2,4,6,7,1,3,8,5]=>0000000 [6,3,5,2,1,8,7,4]=>[4,7,8,1,2,5,3,6]=>0000000 [4,8,7,1,3,6,5,2]=>[2,5,6,3,1,7,8,4]=>0000000 [4,2,7,3,8,6,5,1]=>[1,5,6,8,3,7,2,4]=>1000000 [2,8,1,3,7,6,4,5]=>[5,4,6,7,3,1,8,2]=>0000000 [4,1,3,5,8,7,6,2]=>[2,6,7,8,5,3,1,4]=>0000000 [5,2,7,3,6,4,1,8]=>[8,1,4,6,3,7,2,5]=>0000000 [5,2,8,3,6,4,1,7]=>[7,1,4,6,3,8,2,5]=>0000000 [7,3,1,4,8,5,2,6]=>[6,2,5,8,4,1,3,7]=>0000000 [6,2,5,3,8,4,1,7]=>[7,1,4,8,3,5,2,6]=>0000000 [1,3,5,4,8,6,2,7]=>[7,2,6,8,4,5,3,1]=>0000000 [6,2,4,3,8,5,1,7]=>[7,1,5,8,3,4,2,6]=>0000000 [5,2,4,3,8,6,1,7]=>[7,1,6,8,3,4,2,5]=>0000000 [5,2,7,3,1,6,4,8]=>[8,4,6,1,3,7,2,5]=>0000000 [6,2,1,5,3,7,4,8]=>[8,4,7,3,5,1,2,6]=>0000000 [7,5,1,2,6,4,3,8]=>[8,3,4,6,2,1,5,7]=>0000000 [7,3,6,4,1,2,8,5]=>[5,8,2,1,4,6,3,7]=>0000000 [7,3,5,1,4,6,2,8]=>[8,2,6,4,1,5,3,7]=>0000000 [6,1,8,2,7,4,3,5]=>[5,3,4,7,2,8,1,6]=>0000000 [7,1,5,3,2,6,8,4]=>[4,8,6,2,3,5,1,7]=>0000000 [7,3,5,2,1,4,8,6]=>[6,8,4,1,2,5,3,7]=>0000000 [6,4,5,8,7,3,2,1]=>[1,2,3,7,8,5,4,6]=>1110000 [3,2,1,7,8,5,4,6]=>[6,4,5,8,7,1,2,3]=>0000000 [2,6,1,5,4,7,3,8]=>[8,3,7,4,5,1,6,2]=>0000000 [1,2,8,4,6,3,7,5]=>[5,7,3,6,4,8,2,1]=>0000000 [2,7,6,5,1,4,8,3]=>[3,8,4,1,5,6,7,2]=>0000000 [2,3,6,8,4,1,7,5]=>[5,7,1,4,8,6,3,2]=>0000000 [1,2,8,4,7,3,5,6]=>[6,5,3,7,4,8,2,1]=>0000000 [2,3,5,8,7,1,6,4]=>[4,6,1,7,8,5,3,2]=>0000000 [1,6,8,3,2,5,4,7]=>[7,4,5,2,3,8,6,1]=>0000000 [6,5,7,3,1,2,8,4]=>[4,8,2,1,3,7,5,6]=>0000000 [8,3,5,2,6,1,4,7]=>[7,4,1,6,2,5,3,8]=>0000001 [1,8,5,6,2,7,4,3]=>[3,4,7,2,6,5,8,1]=>0000000 [3,7,2,4,6,1,5,8]=>[8,5,1,6,4,2,7,3]=>0000000 [3,8,2,4,1,5,6,7]=>[7,6,5,1,4,2,8,3]=>0000000 [4,2,7,6,1,8,5,3]=>[3,5,8,1,6,7,2,4]=>0000000 [3,5,2,1,8,4,7,6]=>[6,7,4,8,1,2,5,3]=>0000000 [6,3,8,4,2,5,1,7]=>[7,1,5,2,4,8,3,6]=>0000000 [4,3,8,2,1,5,7,6]=>[6,7,5,1,2,8,3,4]=>0000000 [4,3,2,8,1,6,7,5]=>[5,7,6,1,8,2,3,4]=>0000000 [5,8,3,4,7,2,1,6]=>[6,1,2,7,4,3,8,5]=>0000000 [4,3,8,2,1,6,7,5]=>[5,7,6,1,2,8,3,4]=>0000000 [4,5,3,2,6,8,1,7]=>[7,1,8,6,2,3,5,4]=>0000000 [3,6,7,4,5,2,8,1]=>[1,8,2,5,4,7,6,3]=>1000000 [6,3,5,1,7,8,4,2]=>[2,4,8,7,1,5,3,6]=>0000000 [5,3,7,6,2,4,8,1]=>[1,8,4,2,6,7,3,5]=>1000000 [4,6,7,3,5,2,8,1]=>[1,8,2,5,3,7,6,4]=>1000000 [5,3,7,6,4,2,8,1]=>[1,8,2,4,6,7,3,5]=>1000000 [8,4,7,3,1,5,6,2]=>[2,6,5,1,3,7,4,8]=>0000001 [6,1,3,5,7,8,4,2]=>[2,4,8,7,5,3,1,6]=>0000000 [6,1,5,3,7,8,4,2]=>[2,4,8,7,3,5,1,6]=>0000000 [8,2,7,6,5,3,1,4]=>[4,1,3,5,6,7,2,8]=>0000001 [8,3,7,6,5,1,2,4]=>[4,2,1,5,6,7,3,8]=>0000001 [2,3,7,6,5,8,1,4]=>[4,1,8,5,6,7,3,2]=>0000000 [7,1,2,5,6,4,8,3]=>[3,8,4,6,5,2,1,7]=>0000000 [3,2,7,6,5,8,1,4]=>[4,1,8,5,6,7,2,3]=>0000000 [2,3,7,6,5,1,8,4]=>[4,8,1,5,6,7,3,2]=>0000000 [8,3,7,6,5,2,1,4]=>[4,1,2,5,6,7,3,8]=>0000001 [3,5,8,7,6,4,1,2]=>[2,1,4,6,7,8,5,3]=>0100000 [7,8,6,2,4,1,5,3]=>[3,5,1,4,2,6,8,7]=>0000110 [3,6,2,1,4,7,8,5]=>[5,8,7,4,1,2,6,3]=>0000000 [8,3,7,2,5,4,6,1]=>[1,6,4,5,2,7,3,8]=>1000001 [6,2,5,1,4,7,3,8]=>[8,3,7,4,1,5,2,6]=>0000000 [2,7,6,5,4,1,3,8]=>[8,3,1,4,5,6,7,2]=>0000000 [8,4,2,1,6,7,3,5]=>[5,3,7,6,1,2,4,8]=>0000001 [4,3,7,2,1,8,5,6]=>[6,5,8,1,2,7,3,4]=>0000000 [4,7,3,8,6,2,5,1]=>[1,5,2,6,8,3,7,4]=>1000000 [5,4,7,3,8,2,1,6]=>[6,1,2,8,3,7,4,5]=>0000000 [8,7,2,4,6,3,5,1]=>[1,5,3,6,4,2,7,8]=>1000011 [1,3,6,8,5,7,4,2]=>[2,4,7,5,8,6,3,1]=>0000000 [7,3,6,2,8,5,4,1]=>[1,4,5,8,2,6,3,7]=>1000000 [5,4,6,8,3,7,2,1]=>[1,2,7,3,8,6,4,5]=>1100000 [3,7,5,2,6,4,1,8]=>[8,1,4,6,2,5,7,3]=>0000000 [5,8,4,2,7,3,6,1]=>[1,6,3,7,2,4,8,5]=>1000000 [6,2,5,1,4,7,8,3]=>[3,8,7,4,1,5,2,6]=>0000000 [6,2,5,8,7,4,1,3]=>[3,1,4,7,8,5,2,6]=>0000000 [3,8,5,6,7,4,2,1]=>[1,2,4,7,6,5,8,3]=>1100000 [6,3,4,1,8,7,2,5]=>[5,2,7,8,1,4,3,6]=>0000000 [8,7,3,2,5,4,6,1]=>[1,6,4,5,2,3,7,8]=>1000011 [7,5,6,1,8,3,2,4]=>[4,2,3,8,1,6,5,7]=>0000000 [5,3,4,7,1,6,2,8]=>[8,2,6,1,7,4,3,5]=>0000000 [4,8,1,7,6,2,5,3]=>[3,5,2,6,7,1,8,4]=>0000000 [7,4,8,6,5,1,2,3]=>[3,2,1,5,6,8,4,7]=>0010000 [4,5,8,2,7,3,1,6]=>[6,1,3,7,2,8,5,4]=>0000000 [5,4,8,6,1,3,2,7]=>[7,2,3,1,6,8,4,5]=>0000000 [7,8,3,1,6,4,2,5]=>[5,2,4,6,1,3,8,7]=>0000010 [4,3,8,2,7,5,1,6]=>[6,1,5,7,2,8,3,4]=>0000000 [4,5,7,8,3,2,1,6]=>[6,1,2,3,8,7,5,4]=>0000000 [4,6,3,2,8,5,7,1]=>[1,7,5,8,2,3,6,4]=>1000000 [5,4,3,7,2,6,8,1]=>[1,8,6,2,7,3,4,5]=>1000000 [1,3,6,5,8,2,7,4]=>[4,7,2,8,5,6,3,1]=>0000000 [7,6,4,1,2,8,5,3]=>[3,5,8,2,1,4,6,7]=>0000000 [1,6,5,3,2,8,4,7]=>[7,4,8,2,3,5,6,1]=>0000000 [5,4,3,7,8,2,6,1]=>[1,6,2,8,7,3,4,5]=>1000000 [5,4,3,8,2,6,7,1]=>[1,7,6,2,8,3,4,5]=>1000000 [3,6,5,7,2,1,8,4]=>[4,8,1,2,7,5,6,3]=>0000000 [5,4,3,7,8,2,1,6]=>[6,1,2,8,7,3,4,5]=>0000000 [5,4,3,8,2,6,1,7]=>[7,1,6,2,8,3,4,5]=>0000000 [6,8,5,7,3,4,2,1]=>[1,2,4,3,7,5,8,6]=>1101000 [2,4,1,8,7,6,3,5]=>[5,3,6,7,8,1,4,2]=>0000000 [5,8,7,2,4,1,3,6]=>[6,3,1,4,2,7,8,5]=>0000000 [4,1,3,5,6,2,8,7]=>[7,8,2,6,5,3,1,4]=>0000000 [6,4,8,7,3,5,2,1]=>[1,2,5,3,7,8,4,6]=>1100000 [8,2,3,5,6,1,4,7]=>[7,4,1,6,5,3,2,8]=>0000001 [1,7,8,3,5,2,6,4]=>[4,6,2,5,3,8,7,1]=>0000000 [1,3,7,8,5,4,6,2]=>[2,6,4,5,8,7,3,1]=>0000000 [4,2,7,3,1,8,6,5]=>[5,6,8,1,3,7,2,4]=>0000000 [4,2,7,5,3,1,8,6]=>[6,8,1,3,5,7,2,4]=>0000000 [7,3,2,5,4,1,8,6]=>[6,8,1,4,5,2,3,7]=>0000000 [7,3,2,4,1,8,6,5]=>[5,6,8,1,4,2,3,7]=>0000000 [4,8,6,5,3,1,7,2]=>[2,7,1,3,5,6,8,4]=>0000000 [6,4,7,5,3,1,8,2]=>[2,8,1,3,5,7,4,6]=>0000000 [6,4,2,7,5,1,8,3]=>[3,8,1,5,7,2,4,6]=>0000000 [4,6,3,8,7,2,1,5]=>[5,1,2,7,8,3,6,4]=>0000000 [4,8,3,2,6,5,1,7]=>[7,1,5,6,2,3,8,4]=>0000000 [7,5,4,2,6,3,1,8]=>[8,1,3,6,2,4,5,7]=>0000000 [5,4,2,8,6,3,1,7]=>[7,1,3,6,8,2,4,5]=>0000000 [7,5,2,8,4,3,1,6]=>[6,1,3,4,8,2,5,7]=>0000000 [2,5,3,6,1,8,4,7]=>[7,4,8,1,6,3,5,2]=>0000000 [6,4,2,7,1,8,5,3]=>[3,5,8,1,7,2,4,6]=>0000000 [4,6,2,1,5,7,3,8]=>[8,3,7,5,1,2,6,4]=>0000000 [7,1,4,5,3,6,2,8]=>[8,2,6,3,5,4,1,7]=>0000000 [8,3,5,6,1,4,7,2]=>[2,7,4,1,6,5,3,8]=>0000001 [5,6,4,8,2,1,3,7]=>[7,3,1,2,8,4,6,5]=>0000000 [2,5,3,7,8,1,4,6]=>[6,4,1,8,7,3,5,2]=>0000000 [2,6,3,7,8,1,5,4]=>[4,5,1,8,7,3,6,2]=>0000000 [7,4,3,2,5,8,1,6]=>[6,1,8,5,2,3,4,7]=>0000000 [1,5,4,2,3,7,6,8]=>[8,6,7,3,2,4,5,1]=>0000000 [8,4,6,3,5,7,2,1]=>[1,2,7,5,3,6,4,8]=>1100001 [1,8,3,5,7,2,4,6]=>[6,4,2,7,5,3,8,1]=>0000000 [4,3,6,8,2,5,7,1]=>[1,7,5,2,8,6,3,4]=>1000000 [4,1,5,8,3,7,2,6]=>[6,2,7,3,8,5,1,4]=>0000000 [4,1,5,2,3,8,7,6]=>[6,7,8,3,2,5,1,4]=>0000000 [7,4,6,3,5,8,2,1]=>[1,2,8,5,3,6,4,7]=>1100000 [3,7,2,6,1,8,5,4]=>[4,5,8,1,6,2,7,3]=>0000000 [6,3,5,8,2,4,7,1]=>[1,7,4,2,8,5,3,6]=>1000000 [1,4,7,5,2,8,6,3]=>[3,6,8,2,5,7,4,1]=>0000000 [6,1,3,4,7,2,8,5]=>[5,8,2,7,4,3,1,6]=>0000000 [8,3,4,5,2,1,7,6]=>[6,7,1,2,5,4,3,8]=>0000001 [6,3,4,7,2,1,5,8]=>[8,5,1,2,7,4,3,6]=>0000000 [5,3,6,7,2,4,8,1]=>[1,8,4,2,7,6,3,5]=>1000000 [8,6,1,4,7,5,2,3]=>[3,2,5,7,4,1,6,8]=>0000001 [6,1,8,5,4,7,2,3]=>[3,2,7,4,5,8,1,6]=>0000000 [2,1,7,6,3,5,8,4]=>[4,8,5,3,6,7,1,2]=>0000000 [3,2,8,1,4,7,5,6]=>[6,5,7,4,1,8,2,3]=>0000000 [8,1,5,7,6,4,2,3]=>[3,2,4,6,7,5,1,8]=>0000001 [5,4,2,3,7,1,8,6]=>[6,8,1,7,3,2,4,5]=>0000000 [8,6,3,7,2,5,4,1]=>[1,4,5,2,7,3,6,8]=>1000001 [4,3,6,5,8,2,1,7]=>[7,1,2,8,5,6,3,4]=>0000000 [3,8,2,7,6,1,4,5]=>[5,4,1,6,7,2,8,3]=>0000000 [7,4,2,6,1,8,3,5]=>[5,3,8,1,6,2,4,7]=>0000000 [3,8,7,2,5,6,1,4]=>[4,1,6,5,2,7,8,3]=>0000000 [7,3,6,2,5,8,1,4]=>[4,1,8,5,2,6,3,7]=>0000000 [7,4,2,1,6,8,3,5]=>[5,3,8,6,1,2,4,7]=>0000000 [7,3,1,8,5,4,2,6]=>[6,2,4,5,8,1,3,7]=>0000000 [3,6,7,2,5,8,1,4]=>[4,1,8,5,2,7,6,3]=>0000000 [7,5,1,4,2,3,6,8]=>[8,6,3,2,4,1,5,7]=>0000000 [7,8,6,1,2,4,5,3]=>[3,5,4,2,1,6,8,7]=>0000110 [7,5,1,2,4,6,8,3]=>[3,8,6,4,2,1,5,7]=>0000000 [7,1,2,6,4,5,8,3]=>[3,8,5,4,6,2,1,7]=>0000000 [1,8,3,6,4,5,7,2]=>[2,7,5,4,6,3,8,1]=>0000000 [8,1,6,2,5,3,4,7]=>[7,4,3,5,2,6,1,8]=>0000001 [8,1,6,4,2,3,5,7]=>[7,5,3,2,4,6,1,8]=>0000001 [3,1,2,8,5,6,7,4]=>[4,7,6,5,8,2,1,3]=>0000000 [7,1,8,2,5,3,4,6]=>[6,4,3,5,2,8,1,7]=>0000000 [2,3,8,6,5,4,1,7]=>[7,1,4,5,6,8,3,2]=>0000000 [2,6,8,3,5,1,4,7]=>[7,4,1,5,3,8,6,2]=>0000000 [2,5,8,3,4,1,7,6]=>[6,7,1,4,3,8,5,2]=>0000000 [2,4,7,1,3,6,8,5]=>[5,8,6,3,1,7,4,2]=>0000000 [5,4,7,8,1,3,2,6]=>[6,2,3,1,8,7,4,5]=>0000000 [2,4,7,1,6,3,5,8]=>[8,5,3,6,1,7,4,2]=>0000000 [2,6,5,7,1,8,4,3]=>[3,4,8,1,7,5,6,2]=>0000000 [5,3,6,4,7,1,2,8]=>[8,2,1,7,4,6,3,5]=>0000000 [6,5,1,4,8,3,2,7]=>[7,2,3,8,4,1,5,6]=>0000000 [7,5,4,8,3,2,6,1]=>[1,6,2,3,8,4,5,7]=>1000000 [7,6,5,3,8,4,1,2]=>[2,1,4,8,3,5,6,7]=>0100000 [7,6,5,2,4,8,3,1]=>[1,3,8,4,2,5,6,7]=>1000000 [8,7,1,4,3,2,5,6]=>[6,5,2,3,4,1,7,8]=>0000011 [7,3,8,4,2,5,1,6]=>[6,1,5,2,4,8,3,7]=>0000000 [7,3,8,4,2,5,6,1]=>[1,6,5,2,4,8,3,7]=>1000000 [8,7,1,4,3,2,6,5]=>[5,6,2,3,4,1,7,8]=>0000011 [8,7,6,3,1,4,5,2]=>[2,5,4,1,3,6,7,8]=>0000111 [8,7,5,2,4,3,1,6]=>[6,1,3,4,2,5,7,8]=>0000011 [8,7,5,2,4,3,6,1]=>[1,6,3,4,2,5,7,8]=>1000011 [4,3,7,5,2,1,6,8]=>[8,6,1,2,5,7,3,4]=>0000000 [6,4,3,1,7,2,5,8]=>[8,5,2,7,1,3,4,6]=>0000000 [6,3,2,5,7,1,4,8]=>[8,4,1,7,5,2,3,6]=>0000000 [2,1,6,3,5,7,8,4]=>[4,8,7,5,3,6,1,2]=>0000000 [5,4,2,3,8,6,1,7]=>[7,1,6,8,3,2,4,5]=>0000000 [2,7,4,5,8,1,6,3]=>[3,6,1,8,5,4,7,2]=>0000000 [6,4,7,5,8,2,1,3]=>[3,1,2,8,5,7,4,6]=>0010000 [4,6,2,5,7,3,8,1]=>[1,8,3,7,5,2,6,4]=>1000000 [4,2,8,5,3,6,1,7]=>[7,1,6,3,5,8,2,4]=>0000000 [2,3,6,4,1,8,5,7]=>[7,5,8,1,4,6,3,2]=>0000000 [8,1,7,4,5,6,2,3]=>[3,2,6,5,4,7,1,8]=>0000001 [2,7,8,3,4,1,6,5]=>[5,6,1,4,3,8,7,2]=>0000000 [4,2,5,7,8,3,6,1]=>[1,6,3,8,7,5,2,4]=>1000000 [8,4,6,2,5,3,7,1]=>[1,7,3,5,2,6,4,8]=>1000001 [5,1,6,4,7,3,2,8]=>[8,2,3,7,4,6,1,5]=>0000000 [8,2,5,3,4,7,6,1]=>[1,6,7,4,3,5,2,8]=>1000001 [7,5,3,2,4,1,8,6]=>[6,8,1,4,2,3,5,7]=>0000000 [6,5,3,2,4,8,1,7]=>[7,1,8,4,2,3,5,6]=>0000000 [3,7,8,6,5,4,1,2]=>[2,1,4,5,6,8,7,3]=>0100000 [7,6,2,8,3,1,5,4]=>[4,5,1,3,8,2,6,7]=>0000000 [6,5,3,2,4,8,7,1]=>[1,7,8,4,2,3,5,6]=>1000000 [5,7,4,2,3,8,6,1]=>[1,6,8,3,2,4,7,5]=>1000000 [3,8,2,5,1,7,4,6]=>[6,4,7,1,5,2,8,3]=>0000000 [6,4,8,3,7,2,1,5]=>[5,1,2,7,3,8,4,6]=>0000000 [5,7,4,8,1,3,2,6]=>[6,2,3,1,8,4,7,5]=>0000000 [3,2,6,8,7,4,1,5]=>[5,1,4,7,8,6,2,3]=>0000000 [2,3,7,5,1,8,6,4]=>[4,6,8,1,5,7,3,2]=>0000000 [6,3,1,2,8,7,4,5]=>[5,4,7,8,2,1,3,6]=>0000000 [7,2,1,5,3,8,4,6]=>[6,4,8,3,5,1,2,7]=>0000000 [2,4,6,8,5,1,3,7]=>[7,3,1,5,8,6,4,2]=>0000000 [3,5,8,2,4,1,7,6]=>[6,7,1,4,2,8,5,3]=>0000000 [2,6,8,3,1,5,4,7]=>[7,4,5,1,3,8,6,2]=>0000000 [2,4,8,3,1,6,7,5]=>[5,7,6,1,3,8,4,2]=>0000000 [3,4,2,7,1,6,5,8]=>[8,5,6,1,7,2,4,3]=>0000000 [1,4,2,6,8,5,3,7]=>[7,3,5,8,6,2,4,1]=>0000000 [1,4,8,7,5,2,6,3]=>[3,6,2,5,7,8,4,1]=>0000000 [1,8,4,6,3,2,7,5]=>[5,7,2,3,6,4,8,1]=>0000000 [6,4,7,1,5,3,8,2]=>[2,8,3,5,1,7,4,6]=>0000000 [5,3,8,2,6,4,7,1]=>[1,7,4,6,2,8,3,5]=>1000000 [4,3,8,2,6,5,7,1]=>[1,7,5,6,2,8,3,4]=>1000000 [2,6,1,8,3,4,7,5]=>[5,7,4,3,8,1,6,2]=>0000000 [1,6,2,8,3,4,7,5]=>[5,7,4,3,8,2,6,1]=>0000000 [6,5,7,1,4,3,8,2]=>[2,8,3,4,1,7,5,6]=>0000000 [7,1,8,2,3,4,6,5]=>[5,6,4,3,2,8,1,7]=>0000000 [4,8,3,5,7,6,1,2]=>[2,1,6,7,5,3,8,4]=>0100000 [5,7,6,1,2,4,8,3]=>[3,8,4,2,1,6,7,5]=>0000000 [4,8,3,5,7,6,2,1]=>[1,2,6,7,5,3,8,4]=>1100000 [3,4,2,1,8,5,7,6]=>[6,7,5,8,1,2,4,3]=>0000000 [6,7,5,1,2,8,4,3]=>[3,4,8,2,1,5,7,6]=>0000000 [1,3,4,2,8,5,7,6]=>[6,7,5,8,2,4,3,1]=>0000000 [7,5,1,8,4,2,3,6]=>[6,3,2,4,8,1,5,7]=>0000000 [5,7,6,1,4,8,3,2]=>[2,3,8,4,1,6,7,5]=>0000000 [1,6,7,5,2,8,4,3]=>[3,4,8,2,5,7,6,1]=>0000000 [2,5,3,1,8,4,7,6]=>[6,7,4,8,1,3,5,2]=>0000000 [4,8,3,1,5,7,6,2]=>[2,6,7,5,1,3,8,4]=>0000000 [5,7,6,2,4,8,3,1]=>[1,3,8,4,2,6,7,5]=>1000000 [6,7,5,2,3,8,4,1]=>[1,4,8,3,2,5,7,6]=>1000000 [2,3,1,4,8,5,7,6]=>[6,7,5,8,4,1,3,2]=>0000000 [6,7,5,3,8,4,2,1]=>[1,2,4,8,3,5,7,6]=>1100000 [3,2,1,4,8,5,7,6]=>[6,7,5,8,4,1,2,3]=>0000000 [7,6,1,4,2,5,3,8]=>[8,3,5,2,4,1,6,7]=>0000000 [6,7,2,5,1,4,3,8]=>[8,3,4,1,5,2,7,6]=>0000000 [6,4,1,8,2,5,3,7]=>[7,3,5,2,8,1,4,6]=>0000000 [6,5,1,4,2,7,3,8]=>[8,3,7,2,4,1,5,6]=>0000000 [5,6,1,4,2,8,3,7]=>[7,3,8,2,4,1,6,5]=>0000000 [6,5,1,4,2,8,3,7]=>[7,3,8,2,4,1,5,6]=>0000000 [5,4,1,8,3,7,2,6]=>[6,2,7,3,8,1,4,5]=>0000000 [6,4,2,3,5,1,8,7]=>[7,8,1,5,3,2,4,6]=>0000000 [4,8,6,2,3,1,7,5]=>[5,7,1,3,2,6,8,4]=>0000000 [4,6,2,3,1,8,7,5]=>[5,7,8,1,3,2,6,4]=>0000000 [6,4,2,3,1,8,5,7]=>[7,5,8,1,3,2,4,6]=>0000000 [2,8,6,4,5,1,7,3]=>[3,7,1,5,4,6,8,2]=>0000000 [2,8,6,7,4,1,5,3]=>[3,5,1,4,7,6,8,2]=>0000000 [4,3,2,6,1,8,7,5]=>[5,7,8,1,6,2,3,4]=>0000000 [5,6,8,4,1,7,3,2]=>[2,3,7,1,4,8,6,5]=>0000000 [5,8,4,3,1,7,2,6]=>[6,2,7,1,3,4,8,5]=>0000000 [7,2,6,3,5,8,1,4]=>[4,1,8,5,3,6,2,7]=>0000000 [4,5,3,1,8,7,6,2]=>[2,6,7,8,1,3,5,4]=>0000000 [6,3,4,2,7,8,5,1]=>[1,5,8,7,2,4,3,6]=>1000000 [8,7,4,5,1,6,3,2]=>[2,3,6,1,5,4,7,8]=>0000011 [7,2,8,1,3,4,6,5]=>[5,6,4,3,1,8,2,7]=>0000000 [8,5,7,2,3,6,4,1]=>[1,4,6,3,2,7,5,8]=>1000001 [7,6,3,2,1,8,4,5]=>[5,4,8,1,2,3,6,7]=>0000000 [7,2,1,4,8,5,3,6]=>[6,3,5,8,4,1,2,7]=>0000000 [6,8,7,3,4,2,1,5]=>[5,1,2,4,3,7,8,6]=>0000100 [5,8,4,3,1,6,2,7]=>[7,2,6,1,3,4,8,5]=>0000000 [7,1,3,6,4,5,8,2]=>[2,8,5,4,6,3,1,7]=>0000000 [6,2,1,3,4,7,8,5]=>[5,8,7,4,3,1,2,6]=>0000000 [3,2,5,8,7,4,1,6]=>[6,1,4,7,8,5,2,3]=>0000000 [3,4,8,5,7,2,1,6]=>[6,1,2,7,5,8,4,3]=>0000000 [5,8,4,7,3,6,2,1]=>[1,2,6,3,7,4,8,5]=>1100000 [5,1,3,2,6,8,7,4]=>[4,7,8,6,2,3,1,5]=>0000000 [5,6,3,8,7,2,1,4]=>[4,1,2,7,8,3,6,5]=>0000000 [3,1,6,5,8,7,2,4]=>[4,2,7,8,5,6,1,3]=>0000000 [8,3,2,7,5,4,6,1]=>[1,6,4,5,7,2,3,8]=>1000001 [4,3,6,5,1,2,7,8]=>[8,7,2,1,5,6,3,4]=>0000000 [8,7,3,4,1,2,6,5]=>[5,6,2,1,4,3,7,8]=>0000011 [2,8,7,1,6,3,4,5]=>[5,4,3,6,1,7,8,2]=>0000000 [4,1,8,7,6,5,2,3]=>[3,2,5,6,7,8,1,4]=>0000000 [1,4,8,7,6,5,2,3]=>[3,2,5,6,7,8,4,1]=>0000000 [1,5,8,7,4,2,6,3]=>[3,6,2,4,7,8,5,1]=>0000000 [4,6,5,3,2,8,1,7]=>[7,1,8,2,3,5,6,4]=>0000000 [2,8,3,4,1,5,6,7]=>[7,6,5,1,4,3,8,2]=>0000000 [1,3,7,5,4,8,6,2]=>[2,6,8,4,5,7,3,1]=>0000000 [5,8,6,3,1,4,2,7]=>[7,2,4,1,3,6,8,5]=>0000000 [5,7,3,8,4,2,6,1]=>[1,6,2,4,8,3,7,5]=>1000000 [3,7,5,4,8,2,6,1]=>[1,6,2,8,4,5,7,3]=>1000000 [5,3,7,1,2,8,4,6]=>[6,4,8,2,1,7,3,5]=>0000000 [6,3,8,7,1,2,5,4]=>[4,5,2,1,7,8,3,6]=>0000000 [2,8,7,6,1,3,5,4]=>[4,5,3,1,6,7,8,2]=>0000000 [7,6,4,8,2,5,3,1]=>[1,3,5,2,8,4,6,7]=>1000000 [6,3,8,7,2,4,5,1]=>[1,5,4,2,7,8,3,6]=>1000000 [6,3,8,7,2,5,4,1]=>[1,4,5,2,7,8,3,6]=>1000000 [2,4,3,8,7,1,6,5]=>[5,6,1,7,8,3,4,2]=>0000000 [6,3,8,7,1,5,2,4]=>[4,2,5,1,7,8,3,6]=>0000000 [6,3,8,7,1,2,4,5]=>[5,4,2,1,7,8,3,6]=>0000000 [3,8,4,6,1,5,2,7]=>[7,2,5,1,6,4,8,3]=>0000000 [1,7,5,3,6,2,8,4]=>[4,8,2,6,3,5,7,1]=>0000000 [6,5,1,4,2,8,7,3]=>[3,7,8,2,4,1,5,6]=>0000000 [4,8,1,6,7,5,2,3]=>[3,2,5,7,6,1,8,4]=>0000000 [3,8,5,2,1,4,7,6]=>[6,7,4,1,2,5,8,3]=>0000000 [5,8,3,2,1,7,4,6]=>[6,4,7,1,2,3,8,5]=>0000000 [1,5,6,7,2,8,4,3]=>[3,4,8,2,7,6,5,1]=>0000000 [3,6,1,2,8,7,5,4]=>[4,5,7,8,2,1,6,3]=>0000000 [2,7,5,4,3,1,6,8]=>[8,6,1,3,4,5,7,2]=>0000000 [4,3,7,6,5,1,2,8]=>[8,2,1,5,6,7,3,4]=>0000000 [7,6,1,2,3,5,4,8]=>[8,4,5,3,2,1,6,7]=>0000000 [6,2,8,7,1,3,5,4]=>[4,5,3,1,7,8,2,6]=>0000000 [6,1,3,8,4,2,5,7]=>[7,5,2,4,8,3,1,6]=>0000000 [2,8,7,5,1,6,3,4]=>[4,3,6,1,5,7,8,2]=>0000000 [8,7,6,4,2,1,5,3]=>[3,5,1,2,4,6,7,8]=>0000111 [3,8,7,4,2,6,5,1]=>[1,5,6,2,4,7,8,3]=>1000000 [5,8,3,2,4,7,6,1]=>[1,6,7,4,2,3,8,5]=>1000000 [4,5,8,3,6,1,2,7]=>[7,2,1,6,3,8,5,4]=>0000000 [6,1,7,8,3,5,2,4]=>[4,2,5,3,8,7,1,6]=>0000000 [1,6,3,4,7,8,5,2]=>[2,5,8,7,4,3,6,1]=>0000000 [4,1,5,8,6,2,3,7]=>[7,3,2,6,8,5,1,4]=>0000000 [1,8,4,3,2,7,6,5]=>[5,6,7,2,3,4,8,1]=>0000000 [2,6,4,8,3,1,7,5]=>[5,7,1,3,8,4,6,2]=>0000000 [7,6,5,2,3,8,4,1]=>[1,4,8,3,2,5,6,7]=>1000000 [3,5,1,4,6,2,7,8]=>[8,7,2,6,4,1,5,3]=>0000000 [7,6,5,2,4,3,8,1]=>[1,8,3,4,2,5,6,7]=>1000000 [7,5,1,8,3,6,2,4]=>[4,2,6,3,8,1,5,7]=>0000000 [8,1,5,6,3,7,2,4]=>[4,2,7,3,6,5,1,8]=>0000001 [6,2,8,3,1,4,5,7]=>[7,5,4,1,3,8,2,6]=>0000000 [3,6,4,5,2,7,8,1]=>[1,8,7,2,5,4,6,3]=>1000000 [7,6,5,4,1,3,8,2]=>[2,8,3,1,4,5,6,7]=>0000000 [7,6,5,4,1,8,2,3]=>[3,2,8,1,4,5,6,7]=>0000000 [8,6,3,5,4,1,2,7]=>[7,2,1,4,5,3,6,8]=>0000001 [8,5,1,7,4,3,6,2]=>[2,6,3,4,7,1,5,8]=>0000001 [2,5,4,8,3,1,7,6]=>[6,7,1,3,8,4,5,2]=>0000000 [5,4,8,2,1,3,7,6]=>[6,7,3,1,2,8,4,5]=>0000000 [3,8,7,2,6,1,5,4]=>[4,5,1,6,2,7,8,3]=>0000000 [1,4,3,8,7,2,6,5]=>[5,6,2,7,8,3,4,1]=>0000000 [6,7,8,3,5,4,2,1]=>[1,2,4,5,3,8,7,6]=>1100100 [7,8,3,6,4,1,5,2]=>[2,5,1,4,6,3,8,7]=>0000010 [7,5,2,4,8,3,6,1]=>[1,6,3,8,4,2,5,7]=>1000000 [2,7,4,3,5,1,6,8]=>[8,6,1,5,3,4,7,2]=>0000000 [3,6,4,2,5,1,7,8]=>[8,7,1,5,2,4,6,3]=>0000000 [6,2,4,8,3,5,1,7]=>[7,1,5,3,8,4,2,6]=>0000000 [5,3,7,4,2,1,6,8]=>[8,6,1,2,4,7,3,5]=>0000000 [1,4,5,7,8,3,2,6]=>[6,2,3,8,7,5,4,1]=>0000000 [8,7,1,3,5,4,2,6]=>[6,2,4,5,3,1,7,8]=>0000011 [7,5,1,3,2,4,8,6]=>[6,8,4,2,3,1,5,7]=>0000000 [8,1,5,7,3,4,2,6]=>[6,2,4,3,7,5,1,8]=>0000001 [6,3,1,4,2,7,8,5]=>[5,8,7,2,4,1,3,6]=>0000000 [3,1,8,5,4,7,2,6]=>[6,2,7,4,5,8,1,3]=>0000000 [7,5,1,8,3,2,6,4]=>[4,6,2,3,8,1,5,7]=>0000000 [1,7,4,8,3,5,2,6]=>[6,2,5,3,8,4,7,1]=>0000000 [7,2,8,1,4,3,6,5]=>[5,6,3,4,1,8,2,7]=>0000000 [1,6,5,7,8,4,2,3]=>[3,2,4,8,7,5,6,1]=>0000000 [3,1,5,8,2,7,4,6]=>[6,4,7,2,8,5,1,3]=>0000000 [6,5,8,7,3,2,4,1]=>[1,4,2,3,7,8,5,6]=>1001000 [6,5,8,7,2,4,1,3]=>[3,1,4,2,7,8,5,6]=>0001000 [3,6,8,5,2,4,7,1]=>[1,7,4,2,5,8,6,3]=>1000000 [3,6,8,2,5,4,7,1]=>[1,7,4,5,2,8,6,3]=>1000000 [4,6,2,8,3,5,7,1]=>[1,7,5,3,8,2,6,4]=>1000000 [5,4,6,8,7,1,3,2]=>[2,3,1,7,8,6,4,5]=>0010000 [4,6,3,8,7,2,5,1]=>[1,5,2,7,8,3,6,4]=>1000000 [2,4,8,7,3,6,5,1]=>[1,5,6,3,7,8,4,2]=>1000000 [2,5,8,7,4,3,6,1]=>[1,6,3,4,7,8,5,2]=>1000000 [2,4,8,7,6,3,5,1]=>[1,5,3,6,7,8,4,2]=>1000000 [4,7,2,5,6,3,1,8]=>[8,1,3,6,5,2,7,4]=>0000000 [6,1,2,8,7,3,4,5]=>[5,4,3,7,8,2,1,6]=>0000000 [5,1,3,6,7,8,2,4]=>[4,2,8,7,6,3,1,5]=>0000000 [6,1,5,8,3,7,2,4]=>[4,2,7,3,8,5,1,6]=>0000000 [4,1,3,5,7,8,2,6]=>[6,2,8,7,5,3,1,4]=>0000000 [7,2,1,6,8,3,5,4]=>[4,5,3,8,6,1,2,7]=>0000000 [3,2,6,1,5,8,4,7]=>[7,4,8,5,1,6,2,3]=>0000000 [6,1,5,8,3,4,2,7]=>[7,2,4,3,8,5,1,6]=>0000000 [7,2,5,6,3,4,1,8]=>[8,1,4,3,6,5,2,7]=>0000000 [4,7,8,1,2,5,6,3]=>[3,6,5,2,1,8,7,4]=>0000000 [2,3,7,8,5,1,6,4]=>[4,6,1,5,8,7,3,2]=>0000000 [6,2,8,5,7,4,3,1]=>[1,3,4,7,5,8,2,6]=>1000000 [4,1,7,6,2,3,8,5]=>[5,8,3,2,6,7,1,4]=>0000000 [1,7,2,6,3,5,8,4]=>[4,8,5,3,6,2,7,1]=>0000000 [1,2,6,7,4,3,5,8]=>[8,5,3,4,7,6,2,1]=>0000000 [3,6,7,4,5,1,8,2]=>[2,8,1,5,4,7,6,3]=>0000000 [2,3,7,4,8,6,1,5]=>[5,1,6,8,4,7,3,2]=>0000000 [3,5,1,8,4,7,2,6]=>[6,2,7,4,8,1,5,3]=>0000000 [5,4,7,2,3,8,6,1]=>[1,6,8,3,2,7,4,5]=>1000000 [6,5,7,8,1,3,2,4]=>[4,2,3,1,8,7,5,6]=>0001000 [6,4,7,2,8,3,1,5]=>[5,1,3,8,2,7,4,6]=>0000000 [3,6,1,5,2,7,8,4]=>[4,8,7,2,5,1,6,3]=>0000000 [7,1,6,8,3,4,2,5]=>[5,2,4,3,8,6,1,7]=>0000000 [7,4,8,1,2,6,3,5]=>[5,3,6,2,1,8,4,7]=>0000000 [1,8,4,3,7,6,2,5]=>[5,2,6,7,3,4,8,1]=>0000000 [4,3,8,7,1,2,6,5]=>[5,6,2,1,7,8,3,4]=>0000000 [1,8,3,6,7,2,4,5]=>[5,4,2,7,6,3,8,1]=>0000000 [1,8,4,5,7,6,2,3]=>[3,2,6,7,5,4,8,1]=>0000000 [4,3,8,5,7,1,6,2]=>[2,6,1,7,5,8,3,4]=>0000000 [6,3,4,8,7,2,1,5]=>[5,1,2,7,8,4,3,6]=>0000000 [5,2,8,7,1,4,6,3]=>[3,6,4,1,7,8,2,5]=>0000000 [3,2,8,7,1,6,4,5]=>[5,4,6,1,7,8,2,3]=>0000000 [2,7,8,3,1,6,4,5]=>[5,4,6,1,3,8,7,2]=>0000000 [3,5,8,7,4,1,6,2]=>[2,6,1,4,7,8,5,3]=>0000000 [7,4,6,8,3,5,1,2]=>[2,1,5,3,8,6,4,7]=>0100000 [7,2,8,4,1,3,6,5]=>[5,6,3,1,4,8,2,7]=>0000000 [2,7,8,1,3,6,4,5]=>[5,4,6,3,1,8,7,2]=>0000000 [2,7,8,1,5,4,6,3]=>[3,6,4,5,1,8,7,2]=>0000000 [2,7,8,1,4,5,6,3]=>[3,6,5,4,1,8,7,2]=>0000000 [3,6,7,8,2,4,1,5]=>[5,1,4,2,8,7,6,3]=>0000000 [4,5,7,8,6,3,1,2]=>[2,1,3,6,8,7,5,4]=>0110000 [5,4,6,8,7,3,1,2]=>[2,1,3,7,8,6,4,5]=>0110000 [4,5,8,6,7,1,3,2]=>[2,3,1,7,6,8,5,4]=>0010000 [5,7,6,8,2,1,3,4]=>[4,3,1,2,8,6,7,5]=>0001000 [3,7,6,8,2,4,1,5]=>[5,1,4,2,8,6,7,3]=>0000000 [5,4,7,8,6,3,1,2]=>[2,1,3,6,8,7,4,5]=>0110000 [3,6,7,8,2,1,4,5]=>[5,4,1,2,8,7,6,3]=>0000000 [4,5,6,8,7,3,1,2]=>[2,1,3,7,8,6,5,4]=>0110000 [5,3,6,2,4,1,8,7]=>[7,8,1,4,2,6,3,5]=>0000000 [5,8,2,6,3,7,4,1]=>[1,4,7,3,6,2,8,5]=>1000000 [2,7,6,3,8,5,4,1]=>[1,4,5,8,3,6,7,2]=>1000000 [8,2,5,6,3,7,4,1]=>[1,4,7,3,6,5,2,8]=>1000001 [5,2,6,3,7,1,4,8]=>[8,4,1,7,3,6,2,5]=>0000000 [6,7,3,2,8,4,1,5]=>[5,1,4,8,2,3,7,6]=>0000000 [7,2,8,5,3,1,4,6]=>[6,4,1,3,5,8,2,7]=>0000000 [4,5,8,2,1,3,6,7]=>[7,6,3,1,2,8,5,4]=>0000000 [8,1,3,5,2,4,6,7]=>[7,6,4,2,5,3,1,8]=>0000001 [3,7,6,4,5,8,1,2]=>[2,1,8,5,4,6,7,3]=>0100000 [5,7,2,8,3,4,6,1]=>[1,6,4,3,8,2,7,5]=>1000000 [5,7,3,4,8,2,6,1]=>[1,6,2,8,4,3,7,5]=>1000000 [2,3,8,6,4,7,5,1]=>[1,5,7,4,6,8,3,2]=>1000000 [4,6,1,7,8,3,2,5]=>[5,2,3,8,7,1,6,4]=>0000000 [3,5,2,8,7,4,6,1]=>[1,6,4,7,8,2,5,3]=>1000000 [2,3,8,7,6,4,5,1]=>[1,5,4,6,7,8,3,2]=>1000000 [8,5,6,1,3,4,2,7]=>[7,2,4,3,1,6,5,8]=>0000001 [3,7,5,8,2,6,4,1]=>[1,4,6,2,8,5,7,3]=>1000000 [3,5,7,8,2,4,6,1]=>[1,6,4,2,8,7,5,3]=>1000000 [5,3,7,8,4,2,6,1]=>[1,6,2,4,8,7,3,5]=>1000000 [7,2,4,5,1,3,8,6]=>[6,8,3,1,5,4,2,7]=>0000000 [5,2,1,4,8,3,7,6]=>[6,7,3,8,4,1,2,5]=>0000000 [7,4,1,8,5,6,3,2]=>[2,3,6,5,8,1,4,7]=>0000000 [6,3,2,4,1,8,5,7]=>[7,5,8,1,4,2,3,6]=>0000000 [5,8,6,3,1,2,7,4]=>[4,7,2,1,3,6,8,5]=>0000000 [4,1,5,7,6,3,2,8]=>[8,2,3,6,7,5,1,4]=>0000000 [4,5,1,7,6,3,2,8]=>[8,2,3,6,7,1,5,4]=>0000000 [3,5,4,7,8,2,1,6]=>[6,1,2,8,7,4,5,3]=>0000000 [7,3,6,1,4,5,2,8]=>[8,2,5,4,1,6,3,7]=>0000000 [7,1,4,5,2,8,3,6]=>[6,3,8,2,5,4,1,7]=>0000000 [5,4,2,1,8,7,3,6]=>[6,3,7,8,1,2,4,5]=>0000000 [5,1,4,8,3,6,2,7]=>[7,2,6,3,8,4,1,5]=>0000000 [1,5,4,2,3,8,7,6]=>[6,7,8,3,2,4,5,1]=>0000000 [3,6,5,2,4,1,7,8]=>[8,7,1,4,2,5,6,3]=>0000000 [3,7,1,6,2,5,8,4]=>[4,8,5,2,6,1,7,3]=>0000000 [3,7,4,1,6,2,5,8]=>[8,5,2,6,1,4,7,3]=>0000000 [4,6,7,2,5,1,8,3]=>[3,8,1,5,2,7,6,4]=>0000000 [3,6,2,5,1,8,4,7]=>[7,4,8,1,5,2,6,3]=>0000000 [5,7,6,3,1,2,4,8]=>[8,4,2,1,3,6,7,5]=>0000000 [5,3,4,1,2,7,6,8]=>[8,6,7,2,1,4,3,5]=>0000000 [7,8,5,1,3,6,2,4]=>[4,2,6,3,1,5,8,7]=>0000010 [5,1,7,6,3,2,8,4]=>[4,8,2,3,6,7,1,5]=>0000000 [7,5,1,3,8,6,2,4]=>[4,2,6,8,3,1,5,7]=>0000000 [5,7,6,8,3,1,4,2]=>[2,4,1,3,8,6,7,5]=>0001000 [5,3,1,7,6,4,2,8]=>[8,2,4,6,7,1,3,5]=>0000000 [5,3,4,7,1,6,8,2]=>[2,8,6,1,7,4,3,5]=>0000000 [3,7,1,6,4,8,5,2]=>[2,5,8,4,6,1,7,3]=>0000000 [4,5,1,8,7,3,2,6]=>[6,2,3,7,8,1,5,4]=>0000000 [5,2,8,7,3,1,4,6]=>[6,4,1,3,7,8,2,5]=>0000000 [1,6,4,8,5,7,3,2]=>[2,3,7,5,8,4,6,1]=>0000000 [1,2,7,8,4,3,5,6]=>[6,5,3,4,8,7,2,1]=>0000000 [1,7,4,5,8,6,2,3]=>[3,2,6,8,5,4,7,1]=>0000000 [3,2,5,6,4,8,1,7]=>[7,1,8,4,6,5,2,3]=>0000000 [2,3,6,4,1,7,5,8]=>[8,5,7,1,4,6,3,2]=>0000000 [2,3,5,7,4,8,1,6]=>[6,1,8,4,7,5,3,2]=>0000000 [2,3,7,1,5,8,4,6]=>[6,4,8,5,1,7,3,2]=>0000000 [2,3,6,5,1,7,4,8]=>[8,4,7,1,5,6,3,2]=>0000000 [3,2,6,4,1,5,7,8]=>[8,7,5,1,4,6,2,3]=>0000000 [3,7,2,5,8,4,6,1]=>[1,6,4,8,5,2,7,3]=>1000000 [3,6,4,2,1,5,7,8]=>[8,7,5,1,2,4,6,3]=>0000000 [4,3,2,6,5,8,1,7]=>[7,1,8,5,6,2,3,4]=>0000000 [4,6,5,2,1,7,8,3]=>[3,8,7,1,2,5,6,4]=>0000000 [4,6,1,7,5,8,3,2]=>[2,3,8,5,7,1,6,4]=>0000000 [4,7,1,5,8,2,6,3]=>[3,6,2,8,5,1,7,4]=>0000000 [4,2,6,5,1,7,8,3]=>[3,8,7,1,5,6,2,4]=>0000000 [4,1,5,7,6,8,3,2]=>[2,3,8,6,7,5,1,4]=>0000000 [4,1,5,7,6,8,2,3]=>[3,2,8,6,7,5,1,4]=>0000000 [3,5,6,2,1,4,7,8]=>[8,7,4,1,2,6,5,3]=>0000000 [4,2,5,7,6,8,3,1]=>[1,3,8,6,7,5,2,4]=>1000000 [4,3,6,5,2,8,1,7]=>[7,1,8,2,5,6,3,4]=>0000000 [4,3,6,5,1,7,8,2]=>[2,8,7,1,5,6,3,4]=>0000000 [3,6,4,5,2,1,7,8]=>[8,7,1,2,5,4,6,3]=>0000000 [3,5,6,4,2,8,1,7]=>[7,1,8,2,4,6,5,3]=>0000000 [4,6,5,3,1,7,8,2]=>[2,8,7,1,3,5,6,4]=>0000000 [3,5,4,8,1,7,2,6]=>[6,2,7,1,8,4,5,3]=>0000000 [6,4,8,1,5,7,2,3]=>[3,2,7,5,1,8,4,6]=>0000000 [6,3,7,8,4,5,1,2]=>[2,1,5,4,8,7,3,6]=>0100000 [1,3,5,8,4,7,6,2]=>[2,6,7,4,8,5,3,1]=>0000000 [6,8,7,3,2,4,5,1]=>[1,5,4,2,3,7,8,6]=>1000100 [2,3,1,6,5,8,4,7]=>[7,4,8,5,6,1,3,2]=>0000000 [4,3,1,7,6,2,5,8]=>[8,5,2,6,7,1,3,4]=>0000000 [3,5,6,2,8,7,1,4]=>[4,1,7,8,2,6,5,3]=>0000000 [4,5,1,7,6,3,8,2]=>[2,8,3,6,7,1,5,4]=>0000000 [2,5,1,8,7,6,4,3]=>[3,4,6,7,8,1,5,2]=>0000000 [6,5,4,1,3,7,8,2]=>[2,8,7,3,1,4,5,6]=>0000000 [5,2,1,7,6,4,8,3]=>[3,8,4,6,7,1,2,5]=>0000000 [6,8,5,2,7,3,1,4]=>[4,1,3,7,2,5,8,6]=>0000000 [8,4,2,6,1,7,3,5]=>[5,3,7,1,6,2,4,8]=>0000001 [7,1,2,8,5,4,6,3]=>[3,6,4,5,8,2,1,7]=>0000000 [8,1,6,7,2,4,3,5]=>[5,3,4,2,7,6,1,8]=>0000001 [5,1,7,2,6,8,3,4]=>[4,3,8,6,2,7,1,5]=>0000000 [7,2,1,4,3,5,8,6]=>[6,8,5,3,4,1,2,7]=>0000000 [8,1,5,4,2,3,6,7]=>[7,6,3,2,4,5,1,8]=>0000001 [6,1,8,5,7,2,3,4]=>[4,3,2,7,5,8,1,6]=>0000000 [6,1,8,7,5,2,3,4]=>[4,3,2,5,7,8,1,6]=>0000000 [6,7,1,4,2,3,5,8]=>[8,5,3,2,4,1,7,6]=>0000000 [4,6,8,2,3,5,1,7]=>[7,1,5,3,2,8,6,4]=>0000000 [5,3,8,4,2,7,6,1]=>[1,6,7,2,4,8,3,5]=>1000000 [3,6,8,5,7,4,2,1]=>[1,2,4,7,5,8,6,3]=>1100000 [8,7,2,4,6,1,5,3]=>[3,5,1,6,4,2,7,8]=>0000011 [6,7,5,4,8,1,3,2]=>[2,3,1,8,4,5,7,6]=>0010000 [2,5,1,4,7,3,6,8]=>[8,6,3,7,4,1,5,2]=>0000000 [3,1,6,5,7,2,4,8]=>[8,4,2,7,5,6,1,3]=>0000000 [2,5,7,1,6,3,8,4]=>[4,8,3,6,1,7,5,2]=>0000000 [2,6,1,5,7,4,3,8]=>[8,3,4,7,5,1,6,2]=>0000000 [3,1,6,5,2,4,7,8]=>[8,7,4,2,5,6,1,3]=>0000000 [3,6,5,1,4,2,7,8]=>[8,7,2,4,1,5,6,3]=>0000000 [3,5,6,2,8,1,7,4]=>[4,7,1,8,2,6,5,3]=>0000000 [3,6,5,1,7,2,4,8]=>[8,4,2,7,1,5,6,3]=>0000000 [3,6,5,2,1,4,7,8]=>[8,7,4,1,2,5,6,3]=>0000000 [4,5,2,7,6,1,3,8]=>[8,3,1,6,7,2,5,4]=>0000000 [4,6,5,3,1,2,7,8]=>[8,7,2,1,3,5,6,4]=>0000000 [5,4,1,6,3,7,2,8]=>[8,2,7,3,6,1,4,5]=>0000000 [5,4,2,6,3,7,8,1]=>[1,8,7,3,6,2,4,5]=>1000000 [3,6,5,7,1,4,2,8]=>[8,2,4,1,7,5,6,3]=>0000000 [3,6,5,1,4,7,2,8]=>[8,2,7,4,1,5,6,3]=>0000000 [4,3,6,5,7,1,2,8]=>[8,2,1,7,5,6,3,4]=>0000000 [4,2,6,5,1,3,7,8]=>[8,7,3,1,5,6,2,4]=>0000000 [4,1,6,5,3,7,8,2]=>[2,8,7,3,5,6,1,4]=>0000000 [4,1,5,7,6,3,8,2]=>[2,8,3,6,7,5,1,4]=>0000000 [4,2,5,7,6,1,3,8]=>[8,3,1,6,7,5,2,4]=>0000000 [3,4,7,6,1,2,5,8]=>[8,5,2,1,6,7,4,3]=>0000000 [3,4,7,6,8,2,5,1]=>[1,5,2,8,6,7,4,3]=>1000000 [4,2,5,7,6,3,8,1]=>[1,8,3,6,7,5,2,4]=>1000000 [4,1,6,5,2,7,3,8]=>[8,3,7,2,5,6,1,4]=>0000000 [4,2,6,5,7,3,1,8]=>[8,1,3,7,5,6,2,4]=>0000000 [3,5,7,6,2,4,1,8]=>[8,1,4,2,6,7,5,3]=>0000000 [5,4,2,6,3,7,1,8]=>[8,1,7,3,6,2,4,5]=>0000000 [4,6,5,2,7,3,1,8]=>[8,1,3,7,2,5,6,4]=>0000000 [4,5,2,7,6,3,8,1]=>[1,8,3,6,7,2,5,4]=>1000000 [4,6,5,2,1,7,3,8]=>[8,3,7,1,2,5,6,4]=>0000000 [3,5,8,2,4,6,7,1]=>[1,7,6,4,2,8,5,3]=>1000000 [5,8,2,4,6,3,7,1]=>[1,7,3,6,4,2,8,5]=>1000000 [3,8,4,6,7,2,5,1]=>[1,5,2,7,6,4,8,3]=>1000000 [3,8,6,2,1,4,5,7]=>[7,5,4,1,2,6,8,3]=>0000000 [3,8,6,2,4,1,5,7]=>[7,5,1,4,2,6,8,3]=>0000000 [1,8,3,6,2,4,5,7]=>[7,5,4,2,6,3,8,1]=>0000000 [8,4,6,1,7,2,5,3]=>[3,5,2,7,1,6,4,8]=>0000001 [8,1,4,6,7,5,2,3]=>[3,2,5,7,6,4,1,8]=>0000001 [8,4,6,1,3,7,2,5]=>[5,2,7,3,1,6,4,8]=>0000001 [8,1,4,6,3,7,2,5]=>[5,2,7,3,6,4,1,8]=>0000001 [8,4,6,2,3,7,5,1]=>[1,5,7,3,2,6,4,8]=>1000001 [8,4,7,3,1,6,2,5]=>[5,2,6,1,3,7,4,8]=>0000001 [8,4,7,2,1,3,6,5]=>[5,6,3,1,2,7,4,8]=>0000001 [2,7,1,6,3,5,8,4]=>[4,8,5,3,6,1,7,2]=>0000000 [1,6,2,5,8,4,7,3]=>[3,7,4,8,5,2,6,1]=>0000000 [1,7,4,2,6,8,3,5]=>[5,3,8,6,2,4,7,1]=>0000000 [3,2,7,6,1,4,8,5]=>[5,8,4,1,6,7,2,3]=>0000000 [3,2,8,6,1,4,7,5]=>[5,7,4,1,6,8,2,3]=>0000000 [4,1,7,2,8,6,3,5]=>[5,3,6,8,2,7,1,4]=>0000000 [4,3,1,7,8,5,2,6]=>[6,2,5,8,7,1,3,4]=>0000000 [5,6,8,2,4,3,7,1]=>[1,7,3,4,2,8,6,5]=>1000000 [5,3,2,7,8,6,4,1]=>[1,4,6,8,7,2,3,5]=>1000000 [1,4,8,7,2,5,6,3]=>[3,6,5,2,7,8,4,1]=>0000000 [2,8,3,7,1,4,6,5]=>[5,6,4,1,7,3,8,2]=>0000000 [1,7,2,8,3,5,6,4]=>[4,6,5,3,8,2,7,1]=>0000000 [3,8,4,2,7,6,5,1]=>[1,5,6,7,2,4,8,3]=>1000000 [7,3,2,6,4,1,8,5]=>[5,8,1,4,6,2,3,7]=>0000000 [4,8,3,2,7,5,6,1]=>[1,6,5,7,2,3,8,4]=>1000000 [1,8,2,3,7,5,6,4]=>[4,6,5,7,3,2,8,1]=>0000000 [8,4,2,7,3,5,6,1]=>[1,6,5,3,7,2,4,8]=>1000001 [7,4,1,5,8,6,3,2]=>[2,3,6,8,5,1,4,7]=>0000000 [8,6,4,7,5,1,2,3]=>[3,2,1,5,7,4,6,8]=>0010001 [2,7,4,6,3,8,5,1]=>[1,5,8,3,6,4,7,2]=>1000000 [4,1,8,6,3,7,5,2]=>[2,5,7,3,6,8,1,4]=>0000000 [6,1,8,4,2,5,3,7]=>[7,3,5,2,4,8,1,6]=>0000000 [7,1,8,4,3,2,5,6]=>[6,5,2,3,4,8,1,7]=>0000000 [1,7,5,4,8,2,3,6]=>[6,3,2,8,4,5,7,1]=>0000000 [2,7,5,8,3,1,4,6]=>[6,4,1,3,8,5,7,2]=>0000000 [7,4,1,6,3,2,5,8]=>[8,5,2,3,6,1,4,7]=>0000000 [1,5,4,2,7,3,6,8]=>[8,6,3,7,2,4,5,1]=>0000000 [8,4,3,1,6,2,5,7]=>[7,5,2,6,1,3,4,8]=>0000001 [1,6,5,4,2,8,3,7]=>[7,3,8,2,4,5,6,1]=>0000000 [1,6,5,4,3,8,2,7]=>[7,2,8,3,4,5,6,1]=>0000000 [7,5,4,3,8,1,6,2]=>[2,6,1,8,3,4,5,7]=>0000000 [8,5,4,3,7,1,6,2]=>[2,6,1,7,3,4,5,8]=>0000001 [7,6,4,2,8,5,1,3]=>[3,1,5,8,2,4,6,7]=>0000000 [5,7,2,8,6,3,1,4]=>[4,1,3,6,8,2,7,5]=>0000000 [1,7,2,8,6,4,3,5]=>[5,3,4,6,8,2,7,1]=>0000000 [5,6,4,1,7,8,2,3]=>[3,2,8,7,1,4,6,5]=>0000000 [6,5,4,2,7,3,8,1]=>[1,8,3,7,2,4,5,6]=>1000000 [6,5,4,2,7,1,8,3]=>[3,8,1,7,2,4,5,6]=>0000000 [3,5,4,1,7,8,2,6]=>[6,2,8,7,1,4,5,3]=>0000000 [4,6,3,2,7,8,5,1]=>[1,5,8,7,2,3,6,4]=>1000000 [5,2,7,4,3,6,1,8]=>[8,1,6,3,4,7,2,5]=>0000000 [1,8,6,3,5,4,2,7]=>[7,2,4,5,3,6,8,1]=>0000000 [2,5,7,8,4,6,3,1]=>[1,3,6,4,8,7,5,2]=>1000000 [2,4,1,5,8,6,7,3]=>[3,7,6,8,5,1,4,2]=>0000000 [7,4,2,8,3,6,1,5]=>[5,1,6,3,8,2,4,7]=>0000000 [5,3,2,8,4,1,6,7]=>[7,6,1,4,8,2,3,5]=>0000000 [8,5,4,6,1,7,2,3]=>[3,2,7,1,6,4,5,8]=>0000001 [5,3,2,4,8,1,7,6]=>[6,7,1,8,4,2,3,5]=>0000000 [5,3,2,4,7,8,1,6]=>[6,1,8,7,4,2,3,5]=>0000000 [5,3,2,4,7,1,8,6]=>[6,8,1,7,4,2,3,5]=>0000000 [5,3,2,8,4,6,7,1]=>[1,7,6,4,8,2,3,5]=>1000000 [8,4,5,3,7,1,2,6]=>[6,2,1,7,3,5,4,8]=>0000001 [5,3,2,8,4,7,1,6]=>[6,1,7,4,8,2,3,5]=>0000000 [5,3,2,4,6,8,1,7]=>[7,1,8,6,4,2,3,5]=>0000000 [5,1,2,8,4,7,3,6]=>[6,3,7,4,8,2,1,5]=>0000000 [8,7,1,2,5,6,3,4]=>[4,3,6,5,2,1,7,8]=>0000011 [8,6,2,5,1,7,3,4]=>[4,3,7,1,5,2,6,8]=>0000001 [1,2,6,5,7,8,3,4]=>[4,3,8,7,5,6,2,1]=>0000000 [7,6,4,2,8,3,1,5]=>[5,1,3,8,2,4,6,7]=>0000000 [1,2,6,4,7,3,8,5]=>[5,8,3,7,4,6,2,1]=>0000000 [1,2,6,4,7,3,5,8]=>[8,5,3,7,4,6,2,1]=>0000000 [8,5,2,4,3,7,1,6]=>[6,1,7,3,4,2,5,8]=>0000001 [8,5,1,4,3,2,7,6]=>[6,7,2,3,4,1,5,8]=>0000001 [3,8,5,7,4,6,2,1]=>[1,2,6,4,7,5,8,3]=>1100000 [8,6,2,4,5,7,1,3]=>[3,1,7,5,4,2,6,8]=>0000001 [3,8,7,4,5,2,6,1]=>[1,6,2,5,4,7,8,3]=>1000000 [4,7,3,6,5,2,8,1]=>[1,8,2,5,6,3,7,4]=>1000000 [6,5,2,4,1,3,8,7]=>[7,8,3,1,4,2,5,6]=>0000000 [7,6,3,2,5,1,8,4]=>[4,8,1,5,2,3,6,7]=>0000000 [7,2,3,4,6,8,1,5]=>[5,1,8,6,4,3,2,7]=>0000000 [4,2,7,8,3,6,1,5]=>[5,1,6,3,8,7,2,4]=>0000000 [4,6,3,7,5,8,2,1]=>[1,2,8,5,7,3,6,4]=>1100000 [4,2,5,7,8,6,3,1]=>[1,3,6,8,7,5,2,4]=>1000000 [8,2,5,7,3,6,1,4]=>[4,1,6,3,7,5,2,8]=>0000001 [4,2,5,8,7,6,3,1]=>[1,3,6,7,8,5,2,4]=>1000000 [6,7,2,4,5,1,8,3]=>[3,8,1,5,4,2,7,6]=>0000000 [5,2,3,6,1,4,8,7]=>[7,8,4,1,6,3,2,5]=>0000000 [5,2,7,8,3,6,1,4]=>[4,1,6,3,8,7,2,5]=>0000000 [8,2,3,4,7,1,5,6]=>[6,5,1,7,4,3,2,8]=>0000001 [6,7,3,2,5,8,1,4]=>[4,1,8,5,2,3,7,6]=>0000000 [7,2,8,3,1,6,4,5]=>[5,4,6,1,3,8,2,7]=>0000000 [7,2,3,4,1,8,5,6]=>[6,5,8,1,4,3,2,7]=>0000000 [5,2,8,3,1,4,7,6]=>[6,7,4,1,3,8,2,5]=>0000000 [8,7,2,5,1,4,3,6]=>[6,3,4,1,5,2,7,8]=>0000011 [8,1,3,5,2,4,7,6]=>[6,7,4,2,5,3,1,8]=>0000001 [8,3,5,1,2,4,7,6]=>[6,7,4,2,1,5,3,8]=>0000001 [8,7,4,5,1,2,6,3]=>[3,6,2,1,5,4,7,8]=>0000011 [8,4,3,5,1,2,7,6]=>[6,7,2,1,5,3,4,8]=>0000001 [3,4,8,2,1,7,6,5]=>[5,6,7,1,2,8,4,3]=>0000000 [8,3,5,2,7,4,6,1]=>[1,6,4,7,2,5,3,8]=>1000001 [8,3,4,2,7,5,6,1]=>[1,6,5,7,2,4,3,8]=>1000001 [8,4,2,7,5,3,1,6]=>[6,1,3,5,7,2,4,8]=>0000001 [8,4,3,7,5,1,2,6]=>[6,2,1,5,7,3,4,8]=>0000001 [8,4,7,6,5,2,1,3]=>[3,1,2,5,6,7,4,8]=>0010001 [3,6,2,8,1,4,7,5]=>[5,7,4,1,8,2,6,3]=>0000000 [1,7,4,8,3,2,5,6]=>[6,5,2,3,8,4,7,1]=>0000000 [5,8,2,1,3,4,6,7]=>[7,6,4,3,1,2,8,5]=>0000000 [4,2,5,1,8,3,6,7]=>[7,6,3,8,1,5,2,4]=>0000000 [1,6,2,7,8,4,3,5]=>[5,3,4,8,7,2,6,1]=>0000000 [8,6,7,1,4,5,2,3]=>[3,2,5,4,1,7,6,8]=>0000101 [2,5,7,3,8,1,6,4]=>[4,6,1,8,3,7,5,2]=>0000000 [4,3,8,6,5,2,7,1]=>[1,7,2,5,6,8,3,4]=>1000000 [8,4,1,6,5,7,2,3]=>[3,2,7,5,6,1,4,8]=>0000001 [8,7,4,6,5,1,2,3]=>[3,2,1,5,6,4,7,8]=>0010011 [2,1,3,6,8,4,7,5]=>[5,7,4,8,6,3,1,2]=>0000000 [7,2,3,6,5,8,1,4]=>[4,1,8,5,6,3,2,7]=>0000000 [3,4,1,6,5,2,7,8]=>[8,7,2,5,6,1,4,3]=>0000000 [3,5,2,6,7,4,1,8]=>[8,1,4,7,6,2,5,3]=>0000000 [4,5,7,2,6,1,3,8]=>[8,3,1,6,2,7,5,4]=>0000000 [7,3,5,6,2,4,8,1]=>[1,8,4,2,6,5,3,7]=>1000000 [4,2,7,5,8,1,3,6]=>[6,3,1,8,5,7,2,4]=>0000000 [7,6,8,2,5,4,3,1]=>[1,3,4,5,2,8,6,7]=>1000100 [2,7,6,1,5,4,3,8]=>[8,3,4,5,1,6,7,2]=>0000000 [6,3,1,7,4,8,2,5]=>[5,2,8,4,7,1,3,6]=>0000000 [8,4,7,1,2,5,3,6]=>[6,3,5,2,1,7,4,8]=>0000001 [8,2,5,3,1,7,4,6]=>[6,4,7,1,3,5,2,8]=>0000001 [1,5,4,8,2,3,7,6]=>[6,7,3,2,8,4,5,1]=>0000000 [8,2,4,1,6,7,3,5]=>[5,3,7,6,1,4,2,8]=>0000001 [7,8,6,1,3,5,4,2]=>[2,4,5,3,1,6,8,7]=>0000110 [6,3,1,2,8,7,5,4]=>[4,5,7,8,2,1,3,6]=>0000000 [8,2,4,6,3,7,1,5]=>[5,1,7,3,6,4,2,8]=>0000001 [3,4,5,8,1,7,2,6]=>[6,2,7,1,8,5,4,3]=>0000000 [6,3,4,2,7,1,5,8]=>[8,5,1,7,2,4,3,6]=>0000000 [5,6,3,1,7,2,4,8]=>[8,4,2,7,1,3,6,5]=>0000000 [5,3,6,7,1,4,8,2]=>[2,8,4,1,7,6,3,5]=>0000000 [4,5,1,6,7,3,8,2]=>[2,8,3,7,6,1,5,4]=>0000000 [4,5,6,1,7,3,2,8]=>[8,2,3,7,1,6,5,4]=>0000000 [1,7,5,8,3,6,2,4]=>[4,2,6,3,8,5,7,1]=>0000000 [1,6,5,3,8,7,2,4]=>[4,2,7,8,3,5,6,1]=>0000000 [3,6,5,4,1,7,8,2]=>[2,8,7,1,4,5,6,3]=>0000000 [4,7,5,1,3,6,2,8]=>[8,2,6,3,1,5,7,4]=>0000000 [1,6,4,3,7,2,5,8]=>[8,5,2,7,3,4,6,1]=>0000000 [5,8,1,4,3,2,6,7]=>[7,6,2,3,4,1,8,5]=>0000000 [5,8,1,4,3,2,7,6]=>[6,7,2,3,4,1,8,5]=>0000000 [1,6,4,3,8,2,7,5]=>[5,7,2,8,3,4,6,1]=>0000000 [1,7,4,8,3,2,6,5]=>[5,6,2,3,8,4,7,1]=>0000000 [1,5,4,3,2,8,6,7]=>[7,6,8,2,3,4,5,1]=>0000000 [7,1,8,4,5,3,6,2]=>[2,6,3,5,4,8,1,7]=>0000000 [7,1,2,4,5,6,8,3]=>[3,8,6,5,4,2,1,7]=>0000000 [5,6,3,4,1,7,8,2]=>[2,8,7,1,4,3,6,5]=>0000000 [2,6,1,4,3,7,8,5]=>[5,8,7,3,4,1,6,2]=>0000000 [6,4,3,7,5,8,2,1]=>[1,2,8,5,7,3,4,6]=>1100000 [5,2,4,7,8,6,3,1]=>[1,3,6,8,7,4,2,5]=>1000000 [8,1,6,4,7,5,2,3]=>[3,2,5,7,4,6,1,8]=>0000001 [6,8,4,5,7,2,1,3]=>[3,1,2,7,5,4,8,6]=>0010000 [8,4,6,2,7,3,1,5]=>[5,1,3,7,2,6,4,8]=>0000001 [8,6,1,4,2,5,7,3]=>[3,7,5,2,4,1,6,8]=>0000001 [8,6,1,4,7,2,5,3]=>[3,5,2,7,4,1,6,8]=>0000001 [8,1,6,7,4,2,5,3]=>[3,5,2,4,7,6,1,8]=>0000001 [4,8,6,2,3,1,5,7]=>[7,5,1,3,2,6,8,4]=>0000000 [3,6,2,4,5,7,1,8]=>[8,1,7,5,4,2,6,3]=>0000000 [3,6,2,5,4,7,1,8]=>[8,1,7,4,5,2,6,3]=>0000000 [4,3,1,6,5,2,7,8]=>[8,7,2,5,6,1,3,4]=>0000000 [3,4,7,6,5,1,2,8]=>[8,2,1,5,6,7,4,3]=>0000000 [2,6,3,7,4,8,5,1]=>[1,5,8,4,7,3,6,2]=>1000000 [1,3,5,8,6,4,7,2]=>[2,7,4,6,8,5,3,1]=>0000000 [8,1,5,6,2,4,3,7]=>[7,3,4,2,6,5,1,8]=>0000001 [5,4,6,1,3,2,7,8]=>[8,7,2,3,1,6,4,5]=>0000000 [6,3,2,5,7,4,8,1]=>[1,8,4,7,5,2,3,6]=>1000000 [2,7,8,1,6,5,3,4]=>[4,3,5,6,1,8,7,2]=>0000000 [6,2,8,7,1,5,3,4]=>[4,3,5,1,7,8,2,6]=>0000000 [1,8,2,4,7,6,3,5]=>[5,3,6,7,4,2,8,1]=>0000000 [1,4,8,7,6,3,2,5]=>[5,2,3,6,7,8,4,1]=>0000000 [3,5,1,8,7,6,2,4]=>[4,2,6,7,8,1,5,3]=>0000000 [6,4,8,7,2,1,5,3]=>[3,5,1,2,7,8,4,6]=>0000000 [3,2,8,7,6,4,1,5]=>[5,1,4,6,7,8,2,3]=>0000000 [1,8,2,4,6,7,5,3]=>[3,5,7,6,4,2,8,1]=>0000000 [1,7,3,8,2,5,6,4]=>[4,6,5,2,8,3,7,1]=>0000000 [1,7,3,8,4,2,6,5]=>[5,6,2,4,8,3,7,1]=>0000000 [1,8,3,5,2,7,6,4]=>[4,6,7,2,5,3,8,1]=>0000000 [1,6,2,5,8,7,4,3]=>[3,4,7,8,5,2,6,1]=>0000000 [1,4,8,2,6,7,5,3]=>[3,5,7,6,2,8,4,1]=>0000000 [2,6,1,5,8,7,3,4]=>[4,3,7,8,5,1,6,2]=>0000000 [7,4,8,5,1,2,6,3]=>[3,6,2,1,5,8,4,7]=>0000000 [7,6,1,3,5,2,4,8]=>[8,4,2,5,3,1,6,7]=>0000000 [6,3,5,1,8,7,4,2]=>[2,4,7,8,1,5,3,6]=>0000000 [6,8,5,3,2,7,4,1]=>[1,4,7,2,3,5,8,6]=>1000000 [5,2,7,4,3,1,8,6]=>[6,8,1,3,4,7,2,5]=>0000000 [6,8,5,3,2,7,1,4]=>[4,1,7,2,3,5,8,6]=>0000000 [7,6,5,3,1,4,8,2]=>[2,8,4,1,3,5,6,7]=>0000000 [1,8,5,4,6,7,2,3]=>[3,2,7,6,4,5,8,1]=>0000000 [7,2,4,8,3,6,5,1]=>[1,5,6,3,8,4,2,7]=>1000000 [2,3,5,4,8,1,7,6]=>[6,7,1,8,4,5,3,2]=>0000000 [1,3,5,4,8,7,2,6]=>[6,2,7,8,4,5,3,1]=>0000000 [7,6,5,3,2,8,4,1]=>[1,4,8,2,3,5,6,7]=>1000000 [1,3,6,2,7,5,8,4]=>[4,8,5,7,2,6,3,1]=>0000000 [1,5,7,3,2,6,4,8]=>[8,4,6,2,3,7,5,1]=>0000000 [4,1,7,8,5,2,6,3]=>[3,6,2,5,8,7,1,4]=>0000000 [5,6,1,8,4,2,7,3]=>[3,7,2,4,8,1,6,5]=>0000000 [6,4,8,2,3,5,7,1]=>[1,7,5,3,2,8,4,6]=>1000000 [6,2,4,1,5,8,3,7]=>[7,3,8,5,1,4,2,6]=>0000000 [6,4,8,2,5,7,1,3]=>[3,1,7,5,2,8,4,6]=>0000000 [6,8,2,4,7,3,5,1]=>[1,5,3,7,4,2,8,6]=>1000000 [8,6,2,4,5,1,3,7]=>[7,3,1,5,4,2,6,8]=>0000001 [4,8,2,6,7,5,1,3]=>[3,1,5,7,6,2,8,4]=>0000000 [6,8,2,4,1,7,3,5]=>[5,3,7,1,4,2,8,6]=>0000000 [4,2,7,3,5,1,6,8]=>[8,6,1,5,3,7,2,4]=>0000000 [5,6,2,3,1,7,8,4]=>[4,8,7,1,3,2,6,5]=>0000000 [5,7,2,3,4,1,6,8]=>[8,6,1,4,3,2,7,5]=>0000000 [6,2,7,3,5,1,4,8]=>[8,4,1,5,3,7,2,6]=>0000000 [2,7,8,1,5,6,3,4]=>[4,3,6,5,1,8,7,2]=>0000000 [2,5,4,8,1,7,3,6]=>[6,3,7,1,8,4,5,2]=>0000000 [5,1,3,2,6,7,8,4]=>[4,8,7,6,2,3,1,5]=>0000000 [3,7,2,8,1,4,5,6]=>[6,5,4,1,8,2,7,3]=>0000000 [5,2,3,7,4,6,1,8]=>[8,1,6,4,7,3,2,5]=>0000000 [6,2,7,3,4,5,1,8]=>[8,1,5,4,3,7,2,6]=>0000000 [6,2,8,3,5,1,4,7]=>[7,4,1,5,3,8,2,6]=>0000000 [3,8,4,5,2,1,6,7]=>[7,6,1,2,5,4,8,3]=>0000000 [8,2,6,3,5,1,4,7]=>[7,4,1,5,3,6,2,8]=>0000001 [2,7,6,3,4,5,1,8]=>[8,1,5,4,3,6,7,2]=>0000000 [2,8,6,3,5,1,4,7]=>[7,4,1,5,3,6,8,2]=>0000000 [2,8,7,5,1,3,4,6]=>[6,4,3,1,5,7,8,2]=>0000000 [5,2,1,4,8,7,6,3]=>[3,6,7,8,4,1,2,5]=>0000000 [1,5,4,6,2,8,7,3]=>[3,7,8,2,6,4,5,1]=>0000000 [6,2,1,5,8,4,7,3]=>[3,7,4,8,5,1,2,6]=>0000000 [4,3,7,5,1,6,2,8]=>[8,2,6,1,5,7,3,4]=>0000000 [5,3,1,4,6,7,8,2]=>[2,8,7,6,4,1,3,5]=>0000000 [3,2,6,7,4,8,5,1]=>[1,5,8,4,7,6,2,3]=>1000000 [6,3,2,7,5,8,4,1]=>[1,4,8,5,7,2,3,6]=>1000000 [2,7,5,8,6,3,4,1]=>[1,4,3,6,8,5,7,2]=>1000000 [6,5,2,7,4,1,3,8]=>[8,3,1,4,7,2,5,6]=>0000000 [6,3,4,1,7,8,2,5]=>[5,2,8,7,1,4,3,6]=>0000000 [4,5,8,2,3,7,1,6]=>[6,1,7,3,2,8,5,4]=>0000000 [4,2,5,7,3,8,1,6]=>[6,1,8,3,7,5,2,4]=>0000000 [5,1,4,6,2,8,3,7]=>[7,3,8,2,6,4,1,5]=>0000000 [5,8,2,6,7,4,3,1]=>[1,3,4,7,6,2,8,5]=>1000000 [5,2,6,8,3,7,1,4]=>[4,1,7,3,8,6,2,5]=>0000000 [3,7,5,8,6,4,2,1]=>[1,2,4,6,8,5,7,3]=>1100000 [7,4,5,8,2,3,6,1]=>[1,6,3,2,8,5,4,7]=>1000000 [6,1,3,8,7,4,5,2]=>[2,5,4,7,8,3,1,6]=>0000000 [3,1,4,8,2,7,6,5]=>[5,6,7,2,8,4,1,3]=>0000000 [3,6,5,1,4,8,2,7]=>[7,2,8,4,1,5,6,3]=>0000000 [1,5,8,7,3,4,6,2]=>[2,6,4,3,7,8,5,1]=>0000000 [3,6,4,1,2,7,8,5]=>[5,8,7,2,1,4,6,3]=>0000000 [4,1,7,3,8,6,2,5]=>[5,2,6,8,3,7,1,4]=>0000000 [5,6,1,4,8,3,2,7]=>[7,2,3,8,4,1,6,5]=>0000000 [5,3,6,4,1,8,2,7]=>[7,2,8,1,4,6,3,5]=>0000000 [4,8,2,7,6,5,1,3]=>[3,1,5,6,7,2,8,4]=>0000000 [7,4,2,8,6,5,1,3]=>[3,1,5,6,8,2,4,7]=>0000000 [7,8,5,2,1,6,4,3]=>[3,4,6,1,2,5,8,7]=>0000010 [3,2,1,6,5,8,4,7]=>[7,4,8,5,6,1,2,3]=>0000000 [4,8,7,1,3,2,6,5]=>[5,6,2,3,1,7,8,4]=>0000000 [8,1,5,7,4,2,6,3]=>[3,6,2,4,7,5,1,8]=>0000001 [5,8,7,3,4,1,6,2]=>[2,6,1,4,3,7,8,5]=>0000000 [3,6,2,1,8,5,7,4]=>[4,7,5,8,1,2,6,3]=>0000000 [4,1,6,8,2,5,7,3]=>[3,7,5,2,8,6,1,4]=>0000000 [2,4,5,8,1,3,7,6]=>[6,7,3,1,8,5,4,2]=>0000000 [7,1,4,3,8,5,6,2]=>[2,6,5,8,3,4,1,7]=>0000000 [2,7,8,6,5,3,1,4]=>[4,1,3,5,6,8,7,2]=>0000000 [5,2,4,6,7,8,1,3]=>[3,1,8,7,6,4,2,5]=>0000000 [8,1,4,6,5,7,3,2]=>[2,3,7,5,6,4,1,8]=>0000001 [5,4,7,8,2,1,3,6]=>[6,3,1,2,8,7,4,5]=>0000000 [4,7,5,8,1,2,3,6]=>[6,3,2,1,8,5,7,4]=>0000000 [3,2,4,5,8,1,6,7]=>[7,6,1,8,5,4,2,3]=>0000000 [2,4,6,8,3,7,1,5]=>[5,1,7,3,8,6,4,2]=>0000000 [4,6,8,3,7,2,1,5]=>[5,1,2,7,3,8,6,4]=>0000000 [3,6,5,1,7,2,8,4]=>[4,8,2,7,1,5,6,3]=>0000000 [7,4,2,8,5,1,6,3]=>[3,6,1,5,8,2,4,7]=>0000000 [6,1,8,5,4,2,7,3]=>[3,7,2,4,5,8,1,6]=>0000000 [8,5,4,1,6,2,7,3]=>[3,7,2,6,1,4,5,8]=>0000001 [5,6,3,1,7,2,8,4]=>[4,8,2,7,1,3,6,5]=>0000000 [2,7,1,3,4,6,8,5]=>[5,8,6,4,3,1,7,2]=>0000000 [2,8,1,3,4,7,6,5]=>[5,6,7,4,3,1,8,2]=>0000000 [4,3,5,8,6,2,1,7]=>[7,1,2,6,8,5,3,4]=>0000000 [7,6,8,4,2,1,5,3]=>[3,5,1,2,4,8,6,7]=>0000100 [7,6,8,4,2,5,1,3]=>[3,1,5,2,4,8,6,7]=>0000100 [8,6,7,2,3,5,1,4]=>[4,1,5,3,2,7,6,8]=>0000101 [6,7,2,1,4,8,5,3]=>[3,5,8,4,1,2,7,6]=>0000000 [1,8,6,3,4,5,7,2]=>[2,7,5,4,3,6,8,1]=>0000000 [5,2,7,3,4,8,6,1]=>[1,6,8,4,3,7,2,5]=>1000000 [5,7,3,2,4,8,6,1]=>[1,6,8,4,2,3,7,5]=>1000000 [5,7,3,8,6,4,2,1]=>[1,2,4,6,8,3,7,5]=>1100000 [7,3,5,2,4,8,6,1]=>[1,6,8,4,2,5,3,7]=>1000000 [4,5,2,6,7,1,8,3]=>[3,8,1,7,6,2,5,4]=>0000000 [5,7,1,2,6,8,4,3]=>[3,4,8,6,2,1,7,5]=>0000000 [2,7,4,6,1,3,5,8]=>[8,5,3,1,6,4,7,2]=>0000000 [7,6,1,3,5,4,2,8]=>[8,2,4,5,3,1,6,7]=>0000000 [7,6,2,3,1,5,4,8]=>[8,4,5,1,3,2,6,7]=>0000000 [3,6,4,1,8,2,5,7]=>[7,5,2,8,1,4,6,3]=>0000000 [8,7,3,5,1,4,6,2]=>[2,6,4,1,5,3,7,8]=>0000011 [8,7,3,5,2,4,6,1]=>[1,6,4,2,5,3,7,8]=>1000011 [5,2,8,7,6,4,1,3]=>[3,1,4,6,7,8,2,5]=>0000000 [7,5,3,4,2,8,6,1]=>[1,6,8,2,4,3,5,7]=>1000000 [7,1,2,4,5,6,3,8]=>[8,3,6,5,4,2,1,7]=>0000000 [6,3,8,5,4,2,7,1]=>[1,7,2,4,5,8,3,6]=>1000000 [6,2,3,8,5,4,7,1]=>[1,7,4,5,8,3,2,6]=>1000000 [1,5,3,8,7,4,6,2]=>[2,6,4,7,8,3,5,1]=>0000000 [2,5,3,8,7,4,1,6]=>[6,1,4,7,8,3,5,2]=>0000000 [5,2,1,8,7,4,6,3]=>[3,6,4,7,8,1,2,5]=>0000000 [6,8,3,5,1,2,7,4]=>[4,7,2,1,5,3,8,6]=>0000000 [4,5,8,3,1,2,7,6]=>[6,7,2,1,3,8,5,4]=>0000000 [4,6,8,3,2,1,7,5]=>[5,7,1,2,3,8,6,4]=>0000000 [4,6,8,3,5,1,2,7]=>[7,2,1,5,3,8,6,4]=>0000000 [8,5,7,1,3,6,2,4]=>[4,2,6,3,1,7,5,8]=>0000001 [4,6,7,3,5,2,1,8]=>[8,1,2,5,3,7,6,4]=>0000000 [5,6,8,4,1,2,3,7]=>[7,3,2,1,4,8,6,5]=>0000000 [1,3,8,7,4,5,6,2]=>[2,6,5,4,7,8,3,1]=>0000000 [7,6,8,3,2,5,1,4]=>[4,1,5,2,3,8,6,7]=>0000100 [4,6,7,3,2,5,1,8]=>[8,1,5,2,3,7,6,4]=>0000000 [5,4,2,7,3,8,6,1]=>[1,6,8,3,7,2,4,5]=>1000000 [6,3,5,4,8,1,2,7]=>[7,2,1,8,4,5,3,6]=>0000000 [6,2,5,4,1,7,8,3]=>[3,8,7,1,4,5,2,6]=>0000000 [4,1,5,6,3,8,7,2]=>[2,7,8,3,6,5,1,4]=>0000000 [6,8,7,4,3,2,5,1]=>[1,5,2,3,4,7,8,6]=>1000100 [2,4,5,8,3,7,6,1]=>[1,6,7,3,8,5,4,2]=>1000000 [8,3,5,4,1,7,6,2]=>[2,6,7,1,4,5,3,8]=>0000001 [8,2,3,4,1,6,5,7]=>[7,5,6,1,4,3,2,8]=>0000001 [1,3,8,7,2,5,6,4]=>[4,6,5,2,7,8,3,1]=>0000000 [5,1,4,8,3,7,6,2]=>[2,6,7,3,8,4,1,5]=>0000000 [4,8,3,2,7,6,5,1]=>[1,5,6,7,2,3,8,4]=>1000000 [2,4,8,1,7,6,5,3]=>[3,5,6,7,1,8,4,2]=>0000000 [1,8,4,2,5,7,3,6]=>[6,3,7,5,2,4,8,1]=>0000000 [5,8,3,1,2,4,6,7]=>[7,6,4,2,1,3,8,5]=>0000000 [6,1,4,2,8,7,3,5]=>[5,3,7,8,2,4,1,6]=>0000000 [6,1,4,8,2,7,3,5]=>[5,3,7,2,8,4,1,6]=>0000000 [4,7,5,6,2,8,3,1]=>[1,3,8,2,6,5,7,4]=>1000000 [8,4,3,6,7,5,2,1]=>[1,2,5,7,6,3,4,8]=>1100001 [6,7,5,2,8,4,3,1]=>[1,3,4,8,2,5,7,6]=>1000000 [6,8,4,3,2,7,5,1]=>[1,5,7,2,3,4,8,6]=>1000000 [8,1,4,2,7,6,5,3]=>[3,5,6,7,2,4,1,8]=>0000001 [2,8,7,6,4,1,5,3]=>[3,5,1,4,6,7,8,2]=>0000000 [5,3,1,6,4,8,2,7]=>[7,2,8,4,6,1,3,5]=>0000000 [2,5,6,7,1,4,8,3]=>[3,8,4,1,7,6,5,2]=>0000000 [2,7,3,5,8,4,6,1]=>[1,6,4,8,5,3,7,2]=>1000000 [1,3,4,7,5,8,6,2]=>[2,6,8,5,7,4,3,1]=>0000000 [5,2,3,6,8,4,1,7]=>[7,1,4,8,6,3,2,5]=>0000000 [3,6,2,4,8,7,5,1]=>[1,5,7,8,4,2,6,3]=>1000000 [4,3,2,7,5,8,6,1]=>[1,6,8,5,7,2,3,4]=>1000000 [4,8,6,1,2,7,5,3]=>[3,5,7,2,1,6,8,4]=>0000000 [2,3,7,1,5,6,8,4]=>[4,8,6,5,1,7,3,2]=>0000000 [2,7,1,4,6,8,3,5]=>[5,3,8,6,4,1,7,2]=>0000000 [5,7,1,4,2,8,3,6]=>[6,3,8,2,4,1,7,5]=>0000000 [6,1,4,8,3,5,2,7]=>[7,2,5,3,8,4,1,6]=>0000000 [5,4,8,6,3,1,2,7]=>[7,2,1,3,6,8,4,5]=>0000000 [5,6,1,2,4,8,3,7]=>[7,3,8,4,2,1,6,5]=>0000000 [8,7,4,5,1,3,2,6]=>[6,2,3,1,5,4,7,8]=>0000011 [7,8,6,1,2,3,5,4]=>[4,5,3,2,1,6,8,7]=>0000110 [1,7,8,2,3,5,6,4]=>[4,6,5,3,2,8,7,1]=>0000000 [1,3,7,6,8,4,2,5]=>[5,2,4,8,6,7,3,1]=>0000000 [4,8,5,1,3,2,7,6]=>[6,7,2,3,1,5,8,4]=>0000000 [4,5,7,8,6,2,1,3]=>[3,1,2,6,8,7,5,4]=>0010000 [2,3,6,8,5,7,4,1]=>[1,4,7,5,8,6,3,2]=>1000000 [2,1,5,7,4,6,8,3]=>[3,8,6,4,7,5,1,2]=>0000000 [5,7,2,3,6,8,4,1]=>[1,4,8,6,3,2,7,5]=>1000000 [8,2,3,5,6,4,1,7]=>[7,1,4,6,5,3,2,8]=>0000001 [2,4,7,5,3,6,8,1]=>[1,8,6,3,5,7,4,2]=>1000000 [8,2,4,6,1,7,3,5]=>[5,3,7,1,6,4,2,8]=>0000001 [2,4,7,8,6,3,5,1]=>[1,5,3,6,8,7,4,2]=>1000000 [2,3,5,7,8,4,1,6]=>[6,1,4,8,7,5,3,2]=>0000000 [3,6,2,5,8,4,7,1]=>[1,7,4,8,5,2,6,3]=>1000000 [2,5,8,3,6,4,7,1]=>[1,7,4,6,3,8,5,2]=>1000000 [3,6,4,7,2,5,8,1]=>[1,8,5,2,7,4,6,3]=>1000000 [1,8,7,2,5,3,6,4]=>[4,6,3,5,2,7,8,1]=>0000000 [2,8,3,1,7,4,6,5]=>[5,6,4,7,1,3,8,2]=>0000000 [3,6,7,2,5,4,8,1]=>[1,8,4,5,2,7,6,3]=>1000000 [4,1,6,5,2,3,7,8]=>[8,7,3,2,5,6,1,4]=>0000000 [4,6,1,2,8,3,7,5]=>[5,7,3,8,2,1,6,4]=>0000000 [2,7,5,8,1,3,6,4]=>[4,6,3,1,8,5,7,2]=>0000000 [2,1,8,4,7,6,3,5]=>[5,3,6,7,4,8,1,2]=>0000000 [7,2,4,3,8,6,5,1]=>[1,5,6,8,3,4,2,7]=>1000000 [5,4,8,6,3,2,1,7]=>[7,1,2,3,6,8,4,5]=>0000000 [7,8,2,4,5,6,3,1]=>[1,3,6,5,4,2,8,7]=>1000010 [6,4,1,5,3,7,2,8]=>[8,2,7,3,5,1,4,6]=>0000000 [2,1,6,4,7,8,3,5]=>[5,3,8,7,4,6,1,2]=>0000000 [5,4,2,6,7,8,3,1]=>[1,3,8,7,6,2,4,5]=>1000000 [1,3,5,8,4,6,7,2]=>[2,7,6,4,8,5,3,1]=>0000000 [3,4,5,8,2,1,6,7]=>[7,6,1,2,8,5,4,3]=>0000000 [8,5,7,2,4,3,6,1]=>[1,6,3,4,2,7,5,8]=>1000001 [3,4,8,2,7,1,5,6]=>[6,5,1,7,2,8,4,3]=>0000000 [7,2,6,1,4,8,3,5]=>[5,3,8,4,1,6,2,7]=>0000000 [7,2,8,3,4,5,1,6]=>[6,1,5,4,3,8,2,7]=>0000000 [1,7,2,6,3,4,8,5]=>[5,8,4,3,6,2,7,1]=>0000000 [1,4,5,2,3,8,7,6]=>[6,7,8,3,2,5,4,1]=>0000000 [7,2,1,8,5,4,3,6]=>[6,3,4,5,8,1,2,7]=>0000000 [3,1,7,6,8,5,2,4]=>[4,2,5,8,6,7,1,3]=>0000000 [2,6,1,8,7,3,4,5]=>[5,4,3,7,8,1,6,2]=>0000000 [2,1,7,8,3,5,6,4]=>[4,6,5,3,8,7,1,2]=>0000000 [5,8,4,3,6,7,2,1]=>[1,2,7,6,3,4,8,5]=>1100000 [3,2,6,5,1,8,4,7]=>[7,4,8,1,5,6,2,3]=>0000000 [4,5,8,1,6,7,3,2]=>[2,3,7,6,1,8,5,4]=>0000000 [8,4,3,6,2,7,1,5]=>[5,1,7,2,6,3,4,8]=>0000001 [1,7,6,4,5,8,2,3]=>[3,2,8,5,4,6,7,1]=>0000000 [6,5,3,8,1,7,2,4]=>[4,2,7,1,8,3,5,6]=>0000000 [7,3,2,6,4,8,5,1]=>[1,5,8,4,6,2,3,7]=>1000000 [3,7,6,2,5,4,8,1]=>[1,8,4,5,2,6,7,3]=>1000000 [4,7,2,6,5,3,8,1]=>[1,8,3,5,6,2,7,4]=>1000000 [2,8,3,7,6,1,5,4]=>[4,5,1,6,7,3,8,2]=>0000000 [5,4,3,7,2,8,6,1]=>[1,6,8,2,7,3,4,5]=>1000000 [4,6,5,3,8,1,7,2]=>[2,7,1,8,3,5,6,4]=>0000000 [7,2,3,8,4,6,5,1]=>[1,5,6,4,8,3,2,7]=>1000000 [4,7,8,6,5,2,1,3]=>[3,1,2,5,6,8,7,4]=>0010000 [2,5,8,7,6,4,1,3]=>[3,1,4,6,7,8,5,2]=>0000000 [7,3,8,6,2,5,4,1]=>[1,4,5,2,6,8,3,7]=>1000000 [5,8,1,7,6,2,3,4]=>[4,3,2,6,7,1,8,5]=>0000000 [2,3,8,6,4,5,1,7]=>[7,1,5,4,6,8,3,2]=>0000000 [6,4,8,5,1,7,2,3]=>[3,2,7,1,5,8,4,6]=>0000000 [5,2,8,1,3,6,7,4]=>[4,7,6,3,1,8,2,5]=>0000000 [6,3,7,2,5,4,8,1]=>[1,8,4,5,2,7,3,6]=>1000000 [6,2,1,8,7,4,5,3]=>[3,5,4,7,8,1,2,6]=>0000000 [7,4,3,8,5,6,2,1]=>[1,2,6,5,8,3,4,7]=>1100000 [4,2,1,6,5,7,8,3]=>[3,8,7,5,6,1,2,4]=>0000000 [8,6,1,4,3,5,2,7]=>[7,2,5,3,4,1,6,8]=>0000001 [8,1,3,2,5,7,4,6]=>[6,4,7,5,2,3,1,8]=>0000001 [4,6,7,2,1,5,3,8]=>[8,3,5,1,2,7,6,4]=>0000000 [1,7,6,2,4,3,8,5]=>[5,8,3,4,2,6,7,1]=>0000000 [2,3,6,7,4,5,1,8]=>[8,1,5,4,7,6,3,2]=>0000000 [7,5,4,1,8,6,2,3]=>[3,2,6,8,1,4,5,7]=>0000000 [8,2,5,6,3,1,4,7]=>[7,4,1,3,6,5,2,8]=>0000001 [5,3,7,2,4,1,8,6]=>[6,8,1,4,2,7,3,5]=>0000000 [6,1,4,7,8,5,3,2]=>[2,3,5,8,7,4,1,6]=>0000000 [7,8,1,3,4,5,2,6]=>[6,2,5,4,3,1,8,7]=>0000010 [8,2,4,5,6,7,1,3]=>[3,1,7,6,5,4,2,8]=>0000001 [2,6,3,1,8,4,7,5]=>[5,7,4,8,1,3,6,2]=>0000000 [5,2,1,6,8,7,4,3]=>[3,4,7,8,6,1,2,5]=>0000000 [5,6,2,7,4,8,3,1]=>[1,3,8,4,7,2,6,5]=>1000000 [6,4,1,3,8,7,5,2]=>[2,5,7,8,3,1,4,6]=>0000000 [7,5,2,3,8,4,6,1]=>[1,6,4,8,3,2,5,7]=>1000000 [2,7,3,8,5,1,6,4]=>[4,6,1,5,8,3,7,2]=>0000000 [8,2,3,4,1,5,7,6]=>[6,7,5,1,4,3,2,8]=>0000001 [4,5,2,6,1,3,8,7]=>[7,8,3,1,6,2,5,4]=>0000000 [2,1,6,7,4,8,3,5]=>[5,3,8,4,7,6,1,2]=>0000000 [5,8,6,3,2,1,4,7]=>[7,4,1,2,3,6,8,5]=>0000000 [7,4,5,6,8,1,3,2]=>[2,3,1,8,6,5,4,7]=>0010000 [7,5,2,6,3,4,8,1]=>[1,8,4,3,6,2,5,7]=>1000000 [7,3,6,2,5,4,8,1]=>[1,8,4,5,2,6,3,7]=>1000000 [1,2,6,4,8,5,3,7]=>[7,3,5,8,4,6,2,1]=>0000000 [6,1,5,3,8,4,7,2]=>[2,7,4,8,3,5,1,6]=>0000000 [1,6,5,3,8,4,7,2]=>[2,7,4,8,3,5,6,1]=>0000000 [7,6,2,3,5,1,4,8]=>[8,4,1,5,3,2,6,7]=>0000000 [6,1,5,2,3,4,8,7]=>[7,8,4,3,2,5,1,6]=>0000000 [6,2,5,3,4,8,1,7]=>[7,1,8,4,3,5,2,6]=>0000000 [6,2,5,3,4,8,7,1]=>[1,7,8,4,3,5,2,6]=>1000000 [2,6,5,3,4,8,7,1]=>[1,7,8,4,3,5,6,2]=>1000000 [2,6,5,3,4,8,1,7]=>[7,1,8,4,3,5,6,2]=>0000000 [2,5,1,4,8,3,7,6]=>[6,7,3,8,4,1,5,2]=>0000000 [1,2,5,4,8,3,7,6]=>[6,7,3,8,4,5,2,1]=>0000000 [5,3,4,8,1,7,2,6]=>[6,2,7,1,8,4,3,5]=>0000000 [5,1,3,4,8,7,2,6]=>[6,2,7,8,4,3,1,5]=>0000000 [1,5,3,4,8,7,2,6]=>[6,2,7,8,4,3,5,1]=>0000000 [5,1,3,8,4,7,6,2]=>[2,6,7,4,8,3,1,5]=>0000000 [5,3,8,1,4,7,6,2]=>[2,6,7,4,1,8,3,5]=>0000000 [4,3,5,8,1,7,6,2]=>[2,6,7,1,8,5,3,4]=>0000000 [3,6,5,4,8,1,2,7]=>[7,2,1,8,4,5,6,3]=>0000000 [3,6,5,4,8,2,7,1]=>[1,7,2,8,4,5,6,3]=>1000000 [3,5,2,4,8,7,6,1]=>[1,6,7,8,4,2,5,3]=>1000000 [2,6,3,1,5,7,8,4]=>[4,8,7,5,1,3,6,2]=>0000000 [6,2,5,3,1,7,8,4]=>[4,8,7,1,3,5,2,6]=>0000000 [2,3,5,1,7,6,4,8]=>[8,4,6,7,1,5,3,2]=>0000000 [4,7,5,1,3,2,8,6]=>[6,8,2,3,1,5,7,4]=>0000000 [2,6,3,8,7,4,1,5]=>[5,1,4,7,8,3,6,2]=>0000000 [6,1,3,5,2,7,8,4]=>[4,8,7,2,5,3,1,6]=>0000000 [4,2,8,1,3,6,7,5]=>[5,7,6,3,1,8,2,4]=>0000000 [8,1,3,6,2,5,7,4]=>[4,7,5,2,6,3,1,8]=>0000001 [1,7,4,6,3,5,8,2]=>[2,8,5,3,6,4,7,1]=>0000000 [7,1,4,8,3,6,2,5]=>[5,2,6,3,8,4,1,7]=>0000000 [5,2,7,1,4,8,3,6]=>[6,3,8,4,1,7,2,5]=>0000000 [5,2,7,3,6,1,4,8]=>[8,4,1,6,3,7,2,5]=>0000000 [8,2,5,7,4,1,3,6]=>[6,3,1,4,7,5,2,8]=>0000001 [6,4,8,1,2,5,7,3]=>[3,7,5,2,1,8,4,6]=>0000000 [5,4,1,2,8,3,7,6]=>[6,7,3,8,2,1,4,5]=>0000000 [4,7,1,8,2,3,6,5]=>[5,6,3,2,8,1,7,4]=>0000000 [2,3,5,8,7,4,6,1]=>[1,6,4,7,8,5,3,2]=>1000000 [5,4,2,7,8,3,1,6]=>[6,1,3,8,7,2,4,5]=>0000000 [1,8,4,5,7,3,6,2]=>[2,6,3,7,5,4,8,1]=>0000000 [2,8,3,1,7,4,5,6]=>[6,5,4,7,1,3,8,2]=>0000000 [2,3,7,6,5,1,4,8]=>[8,4,1,5,6,7,3,2]=>0000000 [4,6,7,5,2,8,3,1]=>[1,3,8,2,5,7,6,4]=>1000000 [6,2,4,7,3,5,1,8]=>[8,1,5,3,7,4,2,6]=>0000000 [6,1,8,3,5,2,4,7]=>[7,4,2,5,3,8,1,6]=>0000000 [4,3,1,5,6,7,2,8]=>[8,2,7,6,5,1,3,4]=>0000000 [5,4,6,2,1,7,3,8]=>[8,3,7,1,2,6,4,5]=>0000000 [1,5,6,4,2,3,7,8]=>[8,7,3,2,4,6,5,1]=>0000000 [5,8,1,4,2,6,7,3]=>[3,7,6,2,4,1,8,5]=>0000000 [6,5,1,2,4,3,8,7]=>[7,8,3,4,2,1,5,6]=>0000000 [2,5,1,4,6,3,8,7]=>[7,8,3,6,4,1,5,2]=>0000000 [5,8,7,3,1,2,4,6]=>[6,4,2,1,3,7,8,5]=>0000000 [2,5,6,3,8,7,1,4]=>[4,1,7,8,3,6,5,2]=>0000000 [8,7,5,1,2,4,3,6]=>[6,3,4,2,1,5,7,8]=>0000011 [8,6,2,3,5,4,1,7]=>[7,1,4,5,3,2,6,8]=>0000001 [5,3,4,1,8,2,7,6]=>[6,7,2,8,1,4,3,5]=>0000000 [8,2,4,5,1,7,3,6]=>[6,3,7,1,5,4,2,8]=>0000001 [8,1,4,3,7,5,6,2]=>[2,6,5,7,3,4,1,8]=>0000001 [8,3,7,6,2,4,5,1]=>[1,5,4,2,6,7,3,8]=>1000001 [8,2,7,6,3,1,4,5]=>[5,4,1,3,6,7,2,8]=>0000001 [6,8,1,4,7,3,2,5]=>[5,2,3,7,4,1,8,6]=>0000000 [8,4,1,7,5,6,2,3]=>[3,2,6,5,7,1,4,8]=>0000001 [8,1,2,4,7,6,5,3]=>[3,5,6,7,4,2,1,8]=>0000001 [8,1,5,7,3,6,4,2]=>[2,4,6,3,7,5,1,8]=>0000001 [1,7,3,8,6,2,5,4]=>[4,5,2,6,8,3,7,1]=>0000000 [7,3,8,6,2,1,5,4]=>[4,5,1,2,6,8,3,7]=>0000000 [5,8,2,7,3,1,4,6]=>[6,4,1,3,7,2,8,5]=>0000000 [8,5,1,3,4,7,2,6]=>[6,2,7,4,3,1,5,8]=>0000001 [5,8,2,3,7,4,1,6]=>[6,1,4,7,3,2,8,5]=>0000000 [8,3,6,7,5,2,1,4]=>[4,1,2,5,7,6,3,8]=>0000001 [8,5,4,2,6,7,3,1]=>[1,3,7,6,2,4,5,8]=>1000001 [5,4,2,8,3,7,1,6]=>[6,1,7,3,8,2,4,5]=>0000000 [5,4,3,7,2,1,8,6]=>[6,8,1,2,7,3,4,5]=>0000000 [1,5,3,2,8,6,7,4]=>[4,7,6,8,2,3,5,1]=>0000000 [4,3,1,6,7,2,8,5]=>[5,8,2,7,6,1,3,4]=>0000000 [6,5,2,4,3,8,1,7]=>[7,1,8,3,4,2,5,6]=>0000000 [1,5,6,8,4,3,2,7]=>[7,2,3,4,8,6,5,1]=>0000000 [6,3,5,7,1,4,2,8]=>[8,2,4,1,7,5,3,6]=>0000000 [6,3,2,1,5,7,8,4]=>[4,8,7,5,1,2,3,6]=>0000000 [8,4,1,6,7,3,2,5]=>[5,2,3,7,6,1,4,8]=>0000001 [6,3,5,2,8,4,7,1]=>[1,7,4,8,2,5,3,6]=>1000000 [5,4,8,6,3,7,2,1]=>[1,2,7,3,6,8,4,5]=>1100000 [5,4,8,6,3,7,1,2]=>[2,1,7,3,6,8,4,5]=>0100000 [6,4,5,8,1,3,7,2]=>[2,7,3,1,8,5,4,6]=>0000000 [6,3,5,2,8,1,7,4]=>[4,7,1,8,2,5,3,6]=>0000000 [5,3,4,1,2,6,8,7]=>[7,8,6,2,1,4,3,5]=>0000000 [3,5,4,8,2,6,1,7]=>[7,1,6,2,8,4,5,3]=>0000000 [3,7,2,1,5,6,8,4]=>[4,8,6,5,1,2,7,3]=>0000000 [7,5,1,6,3,4,2,8]=>[8,2,4,3,6,1,5,7]=>0000000 [8,1,6,4,3,5,2,7]=>[7,2,5,3,4,6,1,8]=>0000001 [4,1,3,7,8,2,5,6]=>[6,5,2,8,7,3,1,4]=>0000000 [1,4,3,2,8,7,5,6]=>[6,5,7,8,2,3,4,1]=>0000000 [1,3,7,8,6,2,4,5]=>[5,4,2,6,8,7,3,1]=>0000000 [4,7,8,1,3,5,2,6]=>[6,2,5,3,1,8,7,4]=>0000000 [3,8,6,4,5,2,7,1]=>[1,7,2,5,4,6,8,3]=>1000000 [4,6,8,5,3,7,2,1]=>[1,2,7,3,5,8,6,4]=>1100000 [4,5,7,2,8,6,3,1]=>[1,3,6,8,2,7,5,4]=>1000000 [4,6,8,1,2,5,7,3]=>[3,7,5,2,1,8,6,4]=>0000000 [4,6,8,3,7,1,5,2]=>[2,5,1,7,3,8,6,4]=>0000000 [3,5,1,7,8,4,6,2]=>[2,6,4,8,7,1,5,3]=>0000000 [8,3,6,2,4,1,7,5]=>[5,7,1,4,2,6,3,8]=>0000001 [7,4,5,3,8,6,2,1]=>[1,2,6,8,3,5,4,7]=>1100000 [5,2,3,8,4,7,6,1]=>[1,6,7,4,8,3,2,5]=>1000000 [7,2,5,4,8,3,1,6]=>[6,1,3,8,4,5,2,7]=>0000000 [5,2,8,7,4,6,3,1]=>[1,3,6,4,7,8,2,5]=>1000000 [4,3,6,1,8,5,2,7]=>[7,2,5,8,1,6,3,4]=>0000000 [2,5,4,7,3,1,8,6]=>[6,8,1,3,7,4,5,2]=>0000000 [7,4,2,3,6,8,1,5]=>[5,1,8,6,3,2,4,7]=>0000000 [5,3,6,4,8,2,7,1]=>[1,7,2,8,4,6,3,5]=>1000000 [4,8,7,1,3,6,2,5]=>[5,2,6,3,1,7,8,4]=>0000000 [4,6,1,8,5,2,3,7]=>[7,3,2,5,8,1,6,4]=>0000000 [4,3,7,5,8,2,1,6]=>[6,1,2,8,5,7,3,4]=>0000000 [1,5,2,7,6,4,8,3]=>[3,8,4,6,7,2,5,1]=>0000000 [1,5,8,6,2,7,4,3]=>[3,4,7,2,6,8,5,1]=>0000000 [2,6,5,3,4,7,1,8]=>[8,1,7,4,3,5,6,2]=>0000000 [5,4,2,7,6,3,1,8]=>[8,1,3,6,7,2,4,5]=>0000000 [1,3,5,8,7,2,6,4]=>[4,6,2,7,8,5,3,1]=>0000000 [6,5,3,1,7,4,8,2]=>[2,8,4,7,1,3,5,6]=>0000000 [6,4,1,8,5,7,3,2]=>[2,3,7,5,8,1,4,6]=>0000000 [6,5,8,2,1,4,7,3]=>[3,7,4,1,2,8,5,6]=>0000000 [3,6,7,2,1,5,8,4]=>[4,8,5,1,2,7,6,3]=>0000000 [2,5,6,1,3,8,7,4]=>[4,7,8,3,1,6,5,2]=>0000000 [2,4,8,7,3,6,1,5]=>[5,1,6,3,7,8,4,2]=>0000000 [3,2,7,6,8,4,5,1]=>[1,5,4,8,6,7,2,3]=>1000000 [4,3,8,6,7,2,5,1]=>[1,5,2,7,6,8,3,4]=>1000000 [4,3,8,5,6,2,7,1]=>[1,7,2,6,5,8,3,4]=>1000000 [5,4,8,6,7,2,3,1]=>[1,3,2,7,6,8,4,5]=>1010000 [7,3,4,2,8,5,6,1]=>[1,6,5,8,2,4,3,7]=>1000000 [4,3,6,5,8,2,7,1]=>[1,7,2,8,5,6,3,4]=>1000000 [3,2,6,8,4,5,7,1]=>[1,7,5,4,8,6,2,3]=>1000000 [6,2,5,8,4,7,3,1]=>[1,3,7,4,8,5,2,6]=>1000000 [4,6,7,8,3,1,2,5]=>[5,2,1,3,8,7,6,4]=>0000000 [1,8,4,2,3,7,5,6]=>[6,5,7,3,2,4,8,1]=>0000000 [7,3,4,2,8,6,1,5]=>[5,1,6,8,2,4,3,7]=>0000000 [7,1,8,2,4,3,5,6]=>[6,5,3,4,2,8,1,7]=>0000000 [7,6,1,8,3,4,2,5]=>[5,2,4,3,8,1,6,7]=>0000000 [6,4,2,3,8,7,5,1]=>[1,5,7,8,3,2,4,6]=>1000000 [5,1,3,2,7,6,4,8]=>[8,4,6,7,2,3,1,5]=>0000000 [5,1,3,2,8,7,6,4]=>[4,6,7,8,2,3,1,5]=>0000000 [5,1,3,2,8,6,4,7]=>[7,4,6,8,2,3,1,5]=>0000000 [6,5,1,3,8,4,2,7]=>[7,2,4,8,3,1,5,6]=>0000000 [6,1,4,2,7,8,3,5]=>[5,3,8,7,2,4,1,6]=>0000000 [6,5,1,3,7,8,4,2]=>[2,4,8,7,3,1,5,6]=>0000000 [5,1,3,2,7,8,6,4]=>[4,6,8,7,2,3,1,5]=>0000000 [4,1,3,2,6,5,7,8]=>[8,7,5,6,2,3,1,4]=>0000000 [4,1,3,2,7,8,6,5]=>[5,6,8,7,2,3,1,4]=>0000000 [5,6,8,2,4,7,1,3]=>[3,1,7,4,2,8,6,5]=>0000000 [5,6,7,1,4,8,2,3]=>[3,2,8,4,1,7,6,5]=>0000000 [4,1,3,2,7,6,5,8]=>[8,5,6,7,2,3,1,4]=>0000000 [4,1,3,2,7,5,6,8]=>[8,6,5,7,2,3,1,4]=>0000000 [6,7,4,2,3,8,5,1]=>[1,5,8,3,2,4,7,6]=>1000000 [5,6,1,4,7,3,2,8]=>[8,2,3,7,4,1,6,5]=>0000000 [5,8,6,1,4,7,3,2]=>[2,3,7,4,1,6,8,5]=>0000000 [4,1,3,2,6,7,5,8]=>[8,5,7,6,2,3,1,4]=>0000000 [4,1,3,2,5,8,7,6]=>[6,7,8,5,2,3,1,4]=>0000000 [4,1,3,2,5,8,6,7]=>[7,6,8,5,2,3,1,4]=>0000000 [4,1,3,2,6,8,5,7]=>[7,5,8,6,2,3,1,4]=>0000000 [5,1,3,2,6,8,4,7]=>[7,4,8,6,2,3,1,5]=>0000000 [5,7,1,4,6,8,2,3]=>[3,2,8,6,4,1,7,5]=>0000000 [5,7,8,3,2,4,6,1]=>[1,6,4,2,3,8,7,5]=>1000000 [4,1,3,2,5,6,8,7]=>[7,8,6,5,2,3,1,4]=>0000000 [6,2,7,4,1,8,3,5]=>[5,3,8,1,4,7,2,6]=>0000000 [1,4,7,8,2,6,3,5]=>[5,3,6,2,8,7,4,1]=>0000000 [6,5,2,3,8,1,4,7]=>[7,4,1,8,3,2,5,6]=>0000000 [3,6,1,5,8,2,7,4]=>[4,7,2,8,5,1,6,3]=>0000000 [5,3,4,7,8,6,2,1]=>[1,2,6,8,7,4,3,5]=>1100000 [2,3,8,4,5,6,1,7]=>[7,1,6,5,4,8,3,2]=>0000000 [6,4,1,8,2,7,3,5]=>[5,3,7,2,8,1,4,6]=>0000000 [7,2,4,6,5,8,3,1]=>[1,3,8,5,6,4,2,7]=>1000000 [2,6,8,4,3,1,5,7]=>[7,5,1,3,4,8,6,2]=>0000000 [5,8,6,4,7,3,2,1]=>[1,2,3,7,4,6,8,5]=>1110000 [8,5,4,2,1,6,7,3]=>[3,7,6,1,2,4,5,8]=>0000001 [3,8,6,2,5,4,7,1]=>[1,7,4,5,2,6,8,3]=>1000000 [5,2,6,4,1,3,8,7]=>[7,8,3,1,4,6,2,5]=>0000000 [7,2,8,5,4,1,3,6]=>[6,3,1,4,5,8,2,7]=>0000000 [6,4,8,5,3,2,7,1]=>[1,7,2,3,5,8,4,6]=>1000000 [4,7,8,5,3,2,6,1]=>[1,6,2,3,5,8,7,4]=>1000000 [5,7,6,3,8,4,2,1]=>[1,2,4,8,3,6,7,5]=>1100000 [5,2,7,3,4,8,1,6]=>[6,1,8,4,3,7,2,5]=>0000000 [2,7,5,1,3,4,6,8]=>[8,6,4,3,1,5,7,2]=>0000000 [6,4,7,3,5,8,2,1]=>[1,2,8,5,3,7,4,6]=>1100000 [2,5,3,7,4,1,6,8]=>[8,6,1,4,7,3,5,2]=>0000000 [5,1,3,7,4,2,6,8]=>[8,6,2,4,7,3,1,5]=>0000000 [5,2,3,8,1,4,6,7]=>[7,6,4,1,8,3,2,5]=>0000000 [1,8,7,2,3,4,5,6]=>[6,5,4,3,2,7,8,1]=>0000000 [2,5,3,1,8,4,6,7]=>[7,6,4,8,1,3,5,2]=>0000000 [8,6,3,2,5,4,7,1]=>[1,7,4,5,2,3,6,8]=>1000001 [8,6,4,2,5,3,7,1]=>[1,7,3,5,2,4,6,8]=>1000001 [8,6,5,2,4,3,7,1]=>[1,7,3,4,2,5,6,8]=>1000001 [8,5,6,2,4,3,7,1]=>[1,7,3,4,2,6,5,8]=>1000001 [6,2,5,3,7,4,8,1]=>[1,8,4,7,3,5,2,6]=>1000000 [8,4,5,2,6,3,7,1]=>[1,7,3,6,2,5,4,8]=>1000001 [8,5,4,2,6,3,7,1]=>[1,7,3,6,2,4,5,8]=>1000001 [7,4,6,5,8,2,3,1]=>[1,3,2,8,5,6,4,7]=>1010000 [7,3,6,4,8,2,5,1]=>[1,5,2,8,4,6,3,7]=>1000000 [7,3,5,4,8,2,6,1]=>[1,6,2,8,4,5,3,7]=>1000000 [3,4,6,7,2,1,8,5]=>[5,8,1,2,7,6,4,3]=>0000000 [7,6,1,2,8,5,3,4]=>[4,3,5,8,2,1,6,7]=>0000000 [1,2,7,4,8,5,6,3]=>[3,6,5,8,4,7,2,1]=>0000000 [7,2,5,6,3,8,4,1]=>[1,4,8,3,6,5,2,7]=>1000000 [2,6,3,4,8,5,1,7]=>[7,1,5,8,4,3,6,2]=>0000000 [3,2,7,5,8,4,6,1]=>[1,6,4,8,5,7,2,3]=>1000000 [6,8,4,5,3,7,2,1]=>[1,2,7,3,5,4,8,6]=>1100000 [7,8,4,3,2,6,5,1]=>[1,5,6,2,3,4,8,7]=>1000010 [7,5,4,6,2,8,3,1]=>[1,3,8,2,6,4,5,7]=>1000000 [6,8,4,5,3,2,7,1]=>[1,7,2,3,5,4,8,6]=>1000000 [6,7,5,4,2,8,3,1]=>[1,3,8,2,4,5,7,6]=>1000000 [5,7,6,4,8,2,3,1]=>[1,3,2,8,4,6,7,5]=>1010000 [5,6,3,4,2,8,7,1]=>[1,7,8,2,4,3,6,5]=>1000000 [3,6,5,8,1,7,4,2]=>[2,4,7,1,8,5,6,3]=>0000000 [5,2,6,3,1,4,8,7]=>[7,8,4,1,3,6,2,5]=>0000000 [4,2,7,3,1,5,8,6]=>[6,8,5,1,3,7,2,4]=>0000000 [7,3,8,4,1,5,6,2]=>[2,6,5,1,4,8,3,7]=>0000000 [3,7,8,2,5,4,6,1]=>[1,6,4,5,2,8,7,3]=>1000000 [1,4,8,5,7,2,3,6]=>[6,3,2,7,5,8,4,1]=>0000000 [5,6,2,7,8,3,1,4]=>[4,1,3,8,7,2,6,5]=>0000000 [5,6,2,7,8,3,4,1]=>[1,4,3,8,7,2,6,5]=>1000000 [5,6,3,2,8,7,1,4]=>[4,1,7,8,2,3,6,5]=>0000000 [8,6,1,7,3,4,2,5]=>[5,2,4,3,7,1,6,8]=>0000001 [6,2,4,8,3,7,1,5]=>[5,1,7,3,8,4,2,6]=>0000000 [5,1,6,7,3,4,2,8]=>[8,2,4,3,7,6,1,5]=>0000000 [6,1,8,7,4,5,2,3]=>[3,2,5,4,7,8,1,6]=>0000000 [5,8,2,7,3,6,4,1]=>[1,4,6,3,7,2,8,5]=>1000000 [4,8,2,5,6,3,7,1]=>[1,7,3,6,5,2,8,4]=>1000000 [8,1,5,7,4,6,2,3]=>[3,2,6,4,7,5,1,8]=>0000001 [4,7,1,5,6,3,2,8]=>[8,2,3,6,5,1,7,4]=>0000000 [4,5,7,1,6,3,8,2]=>[2,8,3,6,1,7,5,4]=>0000000 [6,8,2,7,3,1,5,4]=>[4,5,1,3,7,2,8,6]=>0000000 [5,6,8,3,7,4,2,1]=>[1,2,4,7,3,8,6,5]=>1100000 [4,5,7,2,6,8,1,3]=>[3,1,8,6,2,7,5,4]=>0000000 [2,7,1,4,8,3,6,5]=>[5,6,3,8,4,1,7,2]=>0000000 [3,5,7,2,6,8,4,1]=>[1,4,8,6,2,7,5,3]=>1000000 [2,3,1,8,7,4,6,5]=>[5,6,4,7,8,1,3,2]=>0000000 [4,6,8,2,1,5,3,7]=>[7,3,5,1,2,8,6,4]=>0000000 [5,6,8,4,7,2,3,1]=>[1,3,2,7,4,8,6,5]=>1010000 [6,8,3,7,1,2,5,4]=>[4,5,2,1,7,3,8,6]=>0000000 [4,5,8,2,6,1,7,3]=>[3,7,1,6,2,8,5,4]=>0000000 [4,5,6,8,3,2,7,1]=>[1,7,2,3,8,6,5,4]=>1000000 [4,6,5,7,2,3,8,1]=>[1,8,3,2,7,5,6,4]=>1000000 [3,5,7,8,4,2,1,6]=>[6,1,2,4,8,7,5,3]=>0000000 [4,6,5,2,7,8,3,1]=>[1,3,8,7,2,5,6,4]=>1000000 [5,2,6,4,8,7,3,1]=>[1,3,7,8,4,6,2,5]=>1000000 [8,6,3,7,2,4,1,5]=>[5,1,4,2,7,3,6,8]=>0000001 [8,5,7,3,6,2,1,4]=>[4,1,2,6,3,7,5,8]=>0000001 [8,4,6,7,3,5,2,1]=>[1,2,5,3,7,6,4,8]=>1100001 [7,8,4,6,3,5,2,1]=>[1,2,5,3,6,4,8,7]=>1100010 [5,8,4,6,7,3,2,1]=>[1,2,3,7,6,4,8,5]=>1110000 [7,4,5,8,3,6,2,1]=>[1,2,6,3,8,5,4,7]=>1100000 [8,4,7,3,5,6,2,1]=>[1,2,6,5,3,7,4,8]=>1100001 [4,5,8,7,3,2,6,1]=>[1,6,2,3,7,8,5,4]=>1000000 [6,5,4,8,2,3,7,1]=>[1,7,3,2,8,4,5,6]=>1000000 [2,1,6,5,3,4,7,8]=>[8,7,4,3,5,6,1,2]=>0000000 [5,6,8,7,2,4,3,1]=>[1,3,4,2,7,8,6,5]=>1001000 [5,7,8,6,4,2,3,1]=>[1,3,2,4,6,8,7,5]=>1011000 [6,8,4,1,7,5,2,3]=>[3,2,5,7,1,4,8,6]=>0000000 [7,6,4,2,8,1,5,3]=>[3,5,1,8,2,4,6,7]=>0000000 [7,4,6,3,8,1,5,2]=>[2,5,1,8,3,6,4,7]=>0000000 [3,4,6,8,2,5,7,1]=>[1,7,5,2,8,6,4,3]=>1000000 [6,4,1,8,7,2,3,5]=>[5,3,2,7,8,1,4,6]=>0000000 [2,6,8,3,7,5,4,1]=>[1,4,5,7,3,8,6,2]=>1000000 [1,7,6,2,3,5,8,4]=>[4,8,5,3,2,6,7,1]=>0000000 [1,7,2,6,8,3,4,5]=>[5,4,3,8,6,2,7,1]=>0000000 [6,3,1,7,2,8,4,5]=>[5,4,8,2,7,1,3,6]=>0000000 [7,2,6,4,5,8,1,3]=>[3,1,8,5,4,6,2,7]=>0000000 [4,1,2,7,6,8,3,5]=>[5,3,8,6,7,2,1,4]=>0000000 [6,2,1,5,8,7,4,3]=>[3,4,7,8,5,1,2,6]=>0000000 [7,2,6,5,4,8,1,3]=>[3,1,8,4,5,6,2,7]=>0000000 [7,2,4,5,6,8,1,3]=>[3,1,8,6,5,4,2,7]=>0000000 [5,7,8,3,6,4,2,1]=>[1,2,4,6,3,8,7,5]=>1100000 [2,7,1,5,3,8,6,4]=>[4,6,8,3,5,1,7,2]=>0000000 [7,4,6,5,2,3,1,8]=>[8,1,3,2,5,6,4,7]=>0000000 [3,5,7,2,8,4,1,6]=>[6,1,4,8,2,7,5,3]=>0000000 [4,3,7,2,8,5,1,6]=>[6,1,5,8,2,7,3,4]=>0000000 [5,6,3,2,8,4,1,7]=>[7,1,4,8,2,3,6,5]=>0000000 [7,2,4,6,3,5,8,1]=>[1,8,5,3,6,4,2,7]=>1000000 [7,3,6,2,4,5,8,1]=>[1,8,5,4,2,6,3,7]=>1000000 [8,7,2,3,6,5,1,4]=>[4,1,5,6,3,2,7,8]=>0000011 [7,8,6,1,4,5,2,3]=>[3,2,5,4,1,6,8,7]=>0000110 [4,6,7,5,1,8,2,3]=>[3,2,8,1,5,7,6,4]=>0000000 [8,5,1,3,2,4,6,7]=>[7,6,4,2,3,1,5,8]=>0000001 [3,8,5,1,2,4,6,7]=>[7,6,4,2,1,5,8,3]=>0000000 [5,1,7,8,4,2,3,6]=>[6,3,2,4,8,7,1,5]=>0000000 [3,5,8,1,4,2,7,6]=>[6,7,2,4,1,8,5,3]=>0000000 [8,1,2,4,6,3,7,5]=>[5,7,3,6,4,2,1,8]=>0000001 [7,6,1,4,2,3,8,5]=>[5,8,3,2,4,1,6,7]=>0000000 [7,8,1,2,5,3,4,6]=>[6,4,3,5,2,1,8,7]=>0000010 [1,8,4,7,5,2,3,6]=>[6,3,2,5,7,4,8,1]=>0000000 [7,3,4,1,8,6,2,5]=>[5,2,6,8,1,4,3,7]=>0000000 [8,4,7,2,1,6,3,5]=>[5,3,6,1,2,7,4,8]=>0000001 [8,1,5,3,6,7,2,4]=>[4,2,7,6,3,5,1,8]=>0000001 [4,7,8,2,5,6,1,3]=>[3,1,6,5,2,8,7,4]=>0000000 [4,7,5,3,8,1,2,6]=>[6,2,1,8,3,5,7,4]=>0000000 [3,2,4,7,1,6,5,8]=>[8,5,6,1,7,4,2,3]=>0000000 [7,1,5,6,8,3,4,2]=>[2,4,3,8,6,5,1,7]=>0000000 [1,5,7,6,8,2,4,3]=>[3,4,2,8,6,7,5,1]=>0000000 [8,5,3,2,1,7,4,6]=>[6,4,7,1,2,3,5,8]=>0000001 [8,7,3,5,6,4,1,2]=>[2,1,4,6,5,3,7,8]=>0100011 [7,4,3,1,5,8,2,6]=>[6,2,8,5,1,3,4,7]=>0000000 [6,5,1,4,2,3,7,8]=>[8,7,3,2,4,1,5,6]=>0000000 [6,7,4,1,2,8,5,3]=>[3,5,8,2,1,4,7,6]=>0000000 [4,6,7,8,2,5,1,3]=>[3,1,5,2,8,7,6,4]=>0000000 [5,4,2,8,1,6,3,7]=>[7,3,6,1,8,2,4,5]=>0000000 [3,1,6,7,4,5,2,8]=>[8,2,5,4,7,6,1,3]=>0000000 [8,3,7,6,4,5,2,1]=>[1,2,5,4,6,7,3,8]=>1100001 [3,7,8,6,4,5,2,1]=>[1,2,5,4,6,8,7,3]=>1100000 [8,2,7,4,1,6,3,5]=>[5,3,6,1,4,7,2,8]=>0000001 [4,8,6,5,1,3,7,2]=>[2,7,3,1,5,6,8,4]=>0000000 [5,8,3,4,7,6,1,2]=>[2,1,6,7,4,3,8,5]=>0100000 [8,7,3,4,1,6,2,5]=>[5,2,6,1,4,3,7,8]=>0000011 [2,4,5,1,8,6,7,3]=>[3,7,6,8,1,5,4,2]=>0000000 [7,5,2,8,6,4,3,1]=>[1,3,4,6,8,2,5,7]=>1000000 [6,7,3,2,8,5,4,1]=>[1,4,5,8,2,3,7,6]=>1000000 [6,8,7,3,2,5,4,1]=>[1,4,5,2,3,7,8,6]=>1000100 [7,3,8,6,4,2,5,1]=>[1,5,2,4,6,8,3,7]=>1000000 [6,4,2,8,5,7,3,1]=>[1,3,7,5,8,2,4,6]=>1000000 [5,6,2,1,7,3,4,8]=>[8,4,3,7,1,2,6,5]=>0000000 [4,7,5,6,3,1,2,8]=>[8,2,1,3,6,5,7,4]=>0000000 [5,4,3,8,6,1,2,7]=>[7,2,1,6,8,3,4,5]=>0000000 [4,8,6,3,2,7,1,5]=>[5,1,7,2,3,6,8,4]=>0000000 [4,8,5,3,6,1,2,7]=>[7,2,1,6,3,5,8,4]=>0000000 [4,8,5,3,7,1,6,2]=>[2,6,1,7,3,5,8,4]=>0000000 [4,8,6,3,5,2,1,7]=>[7,1,2,5,3,6,8,4]=>0000000 [5,8,6,3,2,7,1,4]=>[4,1,7,2,3,6,8,5]=>0000000 [5,7,6,3,2,4,8,1]=>[1,8,4,2,3,6,7,5]=>1000000 [6,4,7,2,1,8,5,3]=>[3,5,8,1,2,7,4,6]=>0000000 [5,7,4,2,1,8,6,3]=>[3,6,8,1,2,4,7,5]=>0000000 [5,6,2,8,4,7,3,1]=>[1,3,7,4,8,2,6,5]=>1000000 [5,7,3,2,8,6,4,1]=>[1,4,6,8,2,3,7,5]=>1000000 [5,4,3,7,1,8,6,2]=>[2,6,8,1,7,3,4,5]=>0000000 [4,5,1,8,3,7,6,2]=>[2,6,7,3,8,1,5,4]=>0000000 [5,3,1,6,8,4,2,7]=>[7,2,4,8,6,1,3,5]=>0000000 [4,5,1,6,8,2,7,3]=>[3,7,2,8,6,1,5,4]=>0000000 [4,5,1,7,8,3,2,6]=>[6,2,3,8,7,1,5,4]=>0000000 [5,8,4,1,2,3,7,6]=>[6,7,3,2,1,4,8,5]=>0000000 [3,8,5,1,2,7,4,6]=>[6,4,7,2,1,5,8,3]=>0000000 [4,3,7,1,6,2,5,8]=>[8,5,2,6,1,7,3,4]=>0000000 [4,3,1,6,7,2,5,8]=>[8,5,2,7,6,1,3,4]=>0000000 [6,1,5,8,4,2,3,7]=>[7,3,2,4,8,5,1,6]=>0000000 [5,2,1,3,7,4,6,8]=>[8,6,4,7,3,1,2,5]=>0000000 [7,3,1,8,5,4,6,2]=>[2,6,4,5,8,1,3,7]=>0000000 [7,2,8,4,3,6,5,1]=>[1,5,6,3,4,8,2,7]=>1000000 [7,1,2,4,8,6,3,5]=>[5,3,6,8,4,2,1,7]=>0000000 [7,1,8,5,4,6,2,3]=>[3,2,6,4,5,8,1,7]=>0000000 [6,3,5,4,1,2,7,8]=>[8,7,2,1,4,5,3,6]=>0000000 [3,7,6,2,5,4,1,8]=>[8,1,4,5,2,6,7,3]=>0000000 [2,3,7,5,8,6,1,4]=>[4,1,6,8,5,7,3,2]=>0000000 [7,8,3,4,6,1,5,2]=>[2,5,1,6,4,3,8,7]=>0000010 [8,1,5,7,3,6,2,4]=>[4,2,6,3,7,5,1,8]=>0000001 [8,1,4,5,7,3,6,2]=>[2,6,3,7,5,4,1,8]=>0000001 [8,1,4,7,3,5,6,2]=>[2,6,5,3,7,4,1,8]=>0000001 [3,6,8,1,7,4,2,5]=>[5,2,4,7,1,8,6,3]=>0000000 [2,4,7,8,5,3,1,6]=>[6,1,3,5,8,7,4,2]=>0000000 [8,1,5,7,2,6,3,4]=>[4,3,6,2,7,5,1,8]=>0000001 [8,1,5,2,3,4,7,6]=>[6,7,4,3,2,5,1,8]=>0000001 [8,3,6,7,4,1,2,5]=>[5,2,1,4,7,6,3,8]=>0000001 [5,7,6,2,8,1,3,4]=>[4,3,1,8,2,6,7,5]=>0000000 [6,5,2,3,4,1,8,7]=>[7,8,1,4,3,2,5,6]=>0000000 [5,8,2,3,1,4,7,6]=>[6,7,4,1,3,2,8,5]=>0000000 [6,5,8,3,1,7,2,4]=>[4,2,7,1,3,8,5,6]=>0000000 [6,7,4,3,8,2,5,1]=>[1,5,2,8,3,4,7,6]=>1000000 [7,4,8,3,6,2,1,5]=>[5,1,2,6,3,8,4,7]=>0000000 [6,1,5,7,3,8,2,4]=>[4,2,8,3,7,5,1,6]=>0000000 [7,6,2,3,1,8,5,4]=>[4,5,8,1,3,2,6,7]=>0000000 [2,4,6,7,5,1,8,3]=>[3,8,1,5,7,6,4,2]=>0000000 [3,5,1,7,8,6,2,4]=>[4,2,6,8,7,1,5,3]=>0000000 [8,5,7,6,2,4,1,3]=>[3,1,4,2,6,7,5,8]=>0001001 [2,4,5,7,8,3,1,6]=>[6,1,3,8,7,5,4,2]=>0000000 [2,4,6,5,8,3,1,7]=>[7,1,3,8,5,6,4,2]=>0000000 [2,4,6,5,8,1,7,3]=>[3,7,1,8,5,6,4,2]=>0000000 [2,5,6,7,3,4,1,8]=>[8,1,4,3,7,6,5,2]=>0000000 [4,3,2,7,6,1,8,5]=>[5,8,1,6,7,2,3,4]=>0000000 [4,3,2,5,8,7,1,6]=>[6,1,7,8,5,2,3,4]=>0000000 [2,5,4,6,8,3,1,7]=>[7,1,3,8,6,4,5,2]=>0000000 [2,4,6,3,8,7,1,5]=>[5,1,7,8,3,6,4,2]=>0000000 [5,2,6,4,7,1,3,8]=>[8,3,1,7,4,6,2,5]=>0000000 [1,5,4,7,3,8,6,2]=>[2,6,8,3,7,4,5,1]=>0000000 [4,3,2,7,1,8,6,5]=>[5,6,8,1,7,2,3,4]=>0000000 [2,5,6,1,8,4,7,3]=>[3,7,4,8,1,6,5,2]=>0000000 [5,7,8,6,2,4,3,1]=>[1,3,4,2,6,8,7,5]=>1001000 [4,1,8,2,5,7,6,3]=>[3,6,7,5,2,8,1,4]=>0000000 [6,3,2,4,7,8,5,1]=>[1,5,8,7,4,2,3,6]=>1000000 [1,5,4,3,8,7,2,6]=>[6,2,7,8,3,4,5,1]=>0000000 [1,5,4,3,7,2,6,8]=>[8,6,2,7,3,4,5,1]=>0000000 [1,5,3,8,7,2,6,4]=>[4,6,2,7,8,3,5,1]=>0000000 [1,6,3,8,2,7,4,5]=>[5,4,7,2,8,3,6,1]=>0000000 [1,4,2,5,8,6,3,7]=>[7,3,6,8,5,2,4,1]=>0000000 [1,4,8,5,2,7,6,3]=>[3,6,7,2,5,8,4,1]=>0000000 [6,2,5,7,8,4,3,1]=>[1,3,4,8,7,5,2,6]=>1000000 [5,2,6,3,4,7,8,1]=>[1,8,7,4,3,6,2,5]=>1000000 [6,7,5,1,3,2,8,4]=>[4,8,2,3,1,5,7,6]=>0000000 [5,8,3,2,4,1,7,6]=>[6,7,1,4,2,3,8,5]=>0000000 [5,6,3,2,4,8,7,1]=>[1,7,8,4,2,3,6,5]=>1000000 [5,6,2,8,3,1,7,4]=>[4,7,1,3,8,2,6,5]=>0000000 [5,6,2,4,3,1,7,8]=>[8,7,1,3,4,2,6,5]=>0000000 [5,8,2,6,3,4,7,1]=>[1,7,4,3,6,2,8,5]=>1000000 [7,1,2,5,4,6,8,3]=>[3,8,6,4,5,2,1,7]=>0000000 [6,1,8,5,7,3,4,2]=>[2,4,3,7,5,8,1,6]=>0000000 [5,8,6,2,4,3,1,7]=>[7,1,3,4,2,6,8,5]=>0000000 [5,7,6,2,4,3,8,1]=>[1,8,3,4,2,6,7,5]=>1000000 [6,1,7,5,8,3,2,4]=>[4,2,3,8,5,7,1,6]=>0000000 [6,1,4,3,7,5,8,2]=>[2,8,5,7,3,4,1,6]=>0000000 [7,1,4,3,6,2,8,5]=>[5,8,2,6,3,4,1,7]=>0000000 [6,1,3,4,8,5,2,7]=>[7,2,5,8,4,3,1,6]=>0000000 [6,1,7,8,5,3,2,4]=>[4,2,3,5,8,7,1,6]=>0000000 [6,1,7,4,5,3,2,8]=>[8,2,3,5,4,7,1,6]=>0000000 [5,7,3,2,4,6,8,1]=>[1,8,6,4,2,3,7,5]=>1000000 [7,1,2,6,5,4,8,3]=>[3,8,4,5,6,2,1,7]=>0000000 [7,1,2,4,6,5,8,3]=>[3,8,5,6,4,2,1,7]=>0000000 [6,4,7,5,1,8,3,2]=>[2,3,8,1,5,7,4,6]=>0000000 [6,5,7,1,2,3,8,4]=>[4,8,3,2,1,7,5,6]=>0000000 [3,2,5,8,4,1,6,7]=>[7,6,1,4,8,5,2,3]=>0000000 [8,6,2,4,1,7,5,3]=>[3,5,7,1,4,2,6,8]=>0000001 [8,5,3,7,6,2,1,4]=>[4,1,2,6,7,3,5,8]=>0000001 [5,2,8,6,1,7,4,3]=>[3,4,7,1,6,8,2,5]=>0000000 [8,5,3,1,7,6,2,4]=>[4,2,6,7,1,3,5,8]=>0000001 [6,2,7,1,3,8,4,5]=>[5,4,8,3,1,7,2,6]=>0000000 [1,4,6,8,5,2,7,3]=>[3,7,2,5,8,6,4,1]=>0000000 [5,8,2,3,4,7,1,6]=>[6,1,7,4,3,2,8,5]=>0000000 [2,6,1,5,8,3,7,4]=>[4,7,3,8,5,1,6,2]=>0000000 [2,5,4,8,3,7,1,6]=>[6,1,7,3,8,4,5,2]=>0000000 [7,3,2,1,4,6,8,5]=>[5,8,6,4,1,2,3,7]=>0000000 [4,5,2,1,8,7,3,6]=>[6,3,7,8,1,2,5,4]=>0000000 [4,2,7,5,1,8,3,6]=>[6,3,8,1,5,7,2,4]=>0000000 [8,3,7,2,1,4,6,5]=>[5,6,4,1,2,7,3,8]=>0000001 [3,6,8,1,4,7,2,5]=>[5,2,7,4,1,8,6,3]=>0000000 [7,3,5,1,4,2,6,8]=>[8,6,2,4,1,5,3,7]=>0000000 [4,6,5,2,1,3,7,8]=>[8,7,3,1,2,5,6,4]=>0000000 [3,6,5,4,1,7,2,8]=>[8,2,7,1,4,5,6,3]=>0000000 [8,5,4,2,7,3,6,1]=>[1,6,3,7,2,4,5,8]=>1000001 [6,8,4,3,7,2,5,1]=>[1,5,2,7,3,4,8,6]=>1000000 [8,4,3,7,6,2,5,1]=>[1,5,2,6,7,3,4,8]=>1000001 [3,7,6,2,5,8,4,1]=>[1,4,8,5,2,6,7,3]=>1000000 [7,2,8,5,4,3,6,1]=>[1,6,3,4,5,8,2,7]=>1000000 [6,4,3,8,5,2,7,1]=>[1,7,2,5,8,3,4,6]=>1000000 [6,8,5,7,2,1,4,3]=>[3,4,1,2,7,5,8,6]=>0001000 [2,5,6,3,7,1,4,8]=>[8,4,1,7,3,6,5,2]=>0000000 [4,2,3,6,7,8,5,1]=>[1,5,8,7,6,3,2,4]=>1000000 [7,6,4,1,2,8,3,5]=>[5,3,8,2,1,4,6,7]=>0000000 [4,6,1,5,8,3,2,7]=>[7,2,3,8,5,1,6,4]=>0000000 [4,6,1,8,5,3,2,7]=>[7,2,3,5,8,1,6,4]=>0000000 [2,5,7,1,8,4,6,3]=>[3,6,4,8,1,7,5,2]=>0000000 [6,8,1,5,4,3,2,7]=>[7,2,3,4,5,1,8,6]=>0000000 [7,8,5,1,3,4,6,2]=>[2,6,4,3,1,5,8,7]=>0000010 [7,6,2,1,4,8,5,3]=>[3,5,8,4,1,2,6,7]=>0000000 [2,7,8,1,4,6,5,3]=>[3,5,6,4,1,8,7,2]=>0000000 [2,8,7,1,5,4,6,3]=>[3,6,4,5,1,7,8,2]=>0000000 [1,4,6,5,2,3,7,8]=>[8,7,3,2,5,6,4,1]=>0000000 [3,8,6,4,7,5,2,1]=>[1,2,5,7,4,6,8,3]=>1100000 [5,2,4,7,8,3,6,1]=>[1,6,3,8,7,4,2,5]=>1000000 [6,1,7,2,3,8,5,4]=>[4,5,8,3,2,7,1,6]=>0000000 [6,1,4,3,7,2,8,5]=>[5,8,2,7,3,4,1,6]=>0000000 [5,6,4,1,7,3,8,2]=>[2,8,3,7,1,4,6,5]=>0000000 [2,7,1,6,5,8,3,4]=>[4,3,8,5,6,1,7,2]=>0000000 [2,8,3,5,6,4,1,7]=>[7,1,4,6,5,3,8,2]=>0000000 [3,7,4,5,8,1,6,2]=>[2,6,1,8,5,4,7,3]=>0000000 [1,7,3,6,4,2,8,5]=>[5,8,2,4,6,3,7,1]=>0000000 [2,5,1,8,3,7,4,6]=>[6,4,7,3,8,1,5,2]=>0000000 [8,7,3,1,5,2,6,4]=>[4,6,2,5,1,3,7,8]=>0000011 [3,8,4,1,7,5,2,6]=>[6,2,5,7,1,4,8,3]=>0000000 [8,7,3,6,1,4,5,2]=>[2,5,4,1,6,3,7,8]=>0000011 [8,7,3,4,6,2,5,1]=>[1,5,2,6,4,3,7,8]=>1000011 [8,7,2,6,1,4,5,3]=>[3,5,4,1,6,2,7,8]=>0000011 [5,8,7,2,1,3,6,4]=>[4,6,3,1,2,7,8,5]=>0000000 [6,8,2,1,3,7,5,4]=>[4,5,7,3,1,2,8,6]=>0000000 [2,7,6,4,8,3,1,5]=>[5,1,3,8,4,6,7,2]=>0000000 [6,2,4,7,8,3,5,1]=>[1,5,3,8,7,4,2,6]=>1000000 [6,1,3,5,2,4,7,8]=>[8,7,4,2,5,3,1,6]=>0000000 [4,7,3,2,6,5,1,8]=>[8,1,5,6,2,3,7,4]=>0000000 [7,8,4,6,1,3,5,2]=>[2,5,3,1,6,4,8,7]=>0000010 [4,1,3,5,7,2,8,6]=>[6,8,2,7,5,3,1,4]=>0000000 [5,8,3,2,7,4,6,1]=>[1,6,4,7,2,3,8,5]=>1000000 [3,1,5,8,6,7,2,4]=>[4,2,7,6,8,5,1,3]=>0000000 [3,6,8,7,1,4,5,2]=>[2,5,4,1,7,8,6,3]=>0000000 [1,4,8,7,3,6,5,2]=>[2,5,6,3,7,8,4,1]=>0000000 [5,4,1,8,7,3,6,2]=>[2,6,3,7,8,1,4,5]=>0000000 [4,5,2,1,6,7,8,3]=>[3,8,7,6,1,2,5,4]=>0000000 [5,4,6,7,1,3,2,8]=>[8,2,3,1,7,6,4,5]=>0000000 [6,5,1,3,4,7,2,8]=>[8,2,7,4,3,1,5,6]=>0000000 [6,5,1,2,4,3,7,8]=>[8,7,3,4,2,1,5,6]=>0000000 [8,7,1,4,5,2,3,6]=>[6,3,2,5,4,1,7,8]=>0000011 [4,6,3,5,7,1,8,2]=>[2,8,1,7,5,3,6,4]=>0000000 [4,7,3,5,8,6,1,2]=>[2,1,6,8,5,3,7,4]=>0100000 [4,7,2,5,6,8,1,3]=>[3,1,8,6,5,2,7,4]=>0000000 [4,8,2,5,6,7,1,3]=>[3,1,7,6,5,2,8,4]=>0000000 [8,4,7,3,1,2,6,5]=>[5,6,2,1,3,7,4,8]=>0000001 [7,4,5,8,1,3,6,2]=>[2,6,3,1,8,5,4,7]=>0000000 [7,2,4,6,1,5,8,3]=>[3,8,5,1,6,4,2,7]=>0000000 [5,8,2,6,1,7,4,3]=>[3,4,7,1,6,2,8,5]=>0000000 [5,2,6,8,1,4,3,7]=>[7,3,4,1,8,6,2,5]=>0000000 [8,7,3,1,2,5,6,4]=>[4,6,5,2,1,3,7,8]=>0000011 [3,7,6,1,2,8,5,4]=>[4,5,8,2,1,6,7,3]=>0000000 [2,7,3,6,1,8,5,4]=>[4,5,8,1,6,3,7,2]=>0000000 [6,1,3,7,2,8,5,4]=>[4,5,8,2,7,3,1,6]=>0000000 [6,1,8,2,5,7,4,3]=>[3,4,7,5,2,8,1,6]=>0000000 [5,4,3,6,1,7,8,2]=>[2,8,7,1,6,3,4,5]=>0000000 [4,3,8,6,2,1,5,7]=>[7,5,1,2,6,8,3,4]=>0000000 [4,3,8,6,7,2,1,5]=>[5,1,2,7,6,8,3,4]=>0000000 [7,4,3,6,8,2,1,5]=>[5,1,2,8,6,3,4,7]=>0000000 [4,7,6,1,5,8,2,3]=>[3,2,8,5,1,6,7,4]=>0000000 [2,6,7,5,3,4,8,1]=>[1,8,4,3,5,7,6,2]=>1000000 [2,1,4,7,8,3,6,5]=>[5,6,3,8,7,4,1,2]=>0000000 [1,4,5,7,8,6,2,3]=>[3,2,6,8,7,5,4,1]=>0000000 [1,3,7,8,4,6,2,5]=>[5,2,6,4,8,7,3,1]=>0000000 [3,1,7,8,4,6,2,5]=>[5,2,6,4,8,7,1,3]=>0000000 [5,8,4,3,7,1,2,6]=>[6,2,1,7,3,4,8,5]=>0000000 [6,7,8,3,1,2,5,4]=>[4,5,2,1,3,8,7,6]=>0000100 [7,3,8,5,4,2,6,1]=>[1,6,2,4,5,8,3,7]=>1000000 [7,2,8,5,6,4,3,1]=>[1,3,4,6,5,8,2,7]=>1000000 [2,6,8,1,3,4,7,5]=>[5,7,4,3,1,8,6,2]=>0000000 [5,3,1,7,6,8,4,2]=>[2,4,8,6,7,1,3,5]=>0000000 [5,6,1,2,8,4,7,3]=>[3,7,4,8,2,1,6,5]=>0000000 [1,7,6,8,5,3,4,2]=>[2,4,3,5,8,6,7,1]=>0000000 [4,1,7,8,6,5,2,3]=>[3,2,5,6,8,7,1,4]=>0000000 [6,2,4,8,3,5,7,1]=>[1,7,5,3,8,4,2,6]=>1000000 [6,1,3,5,8,4,2,7]=>[7,2,4,8,5,3,1,6]=>0000000 [6,5,1,7,3,2,4,8]=>[8,4,2,3,7,1,5,6]=>0000000 [4,7,6,1,2,3,8,5]=>[5,8,3,2,1,6,7,4]=>0000000 [4,3,1,7,8,6,2,5]=>[5,2,6,8,7,1,3,4]=>0000000 [3,6,8,1,4,5,7,2]=>[2,7,5,4,1,8,6,3]=>0000000 [3,1,7,8,6,5,2,4]=>[4,2,5,6,8,7,1,3]=>0000000 [3,7,6,5,2,4,8,1]=>[1,8,4,2,5,6,7,3]=>1000000 [2,6,8,1,7,4,3,5]=>[5,3,4,7,1,8,6,2]=>0000000 [5,3,2,7,8,4,1,6]=>[6,1,4,8,7,2,3,5]=>0000000 [3,5,8,1,7,4,2,6]=>[6,2,4,7,1,8,5,3]=>0000000 [5,7,2,6,8,4,3,1]=>[1,3,4,8,6,2,7,5]=>1000000 [7,5,6,2,4,3,1,8]=>[8,1,3,4,2,6,5,7]=>0000000 [1,3,8,5,2,4,6,7]=>[7,6,4,2,5,8,3,1]=>0000000 [7,8,6,1,3,2,4,5]=>[5,4,2,3,1,6,8,7]=>0000110 [6,5,1,7,3,8,4,2]=>[2,4,8,3,7,1,5,6]=>0000000 [7,1,6,3,8,5,4,2]=>[2,4,5,8,3,6,1,7]=>0000000 [1,6,4,7,3,8,5,2]=>[2,5,8,3,7,4,6,1]=>0000000 [5,4,1,7,3,8,6,2]=>[2,6,8,3,7,1,4,5]=>0000000 [7,5,6,1,3,4,8,2]=>[2,8,4,3,1,6,5,7]=>0000000 [6,8,3,4,7,5,2,1]=>[1,2,5,7,4,3,8,6]=>1100000 [6,7,5,1,4,8,3,2]=>[2,3,8,4,1,5,7,6]=>0000000 [6,1,4,7,3,8,2,5]=>[5,2,8,3,7,4,1,6]=>0000000 [7,4,1,6,5,2,8,3]=>[3,8,2,5,6,1,4,7]=>0000000 [6,4,2,8,1,5,3,7]=>[7,3,5,1,8,2,4,6]=>0000000 [6,8,7,3,5,1,4,2]=>[2,4,1,5,3,7,8,6]=>0000100 [7,3,6,4,2,1,8,5]=>[5,8,1,2,4,6,3,7]=>0000000 [7,8,5,2,6,4,3,1]=>[1,3,4,6,2,5,8,7]=>1000010 [5,1,3,8,2,7,4,6]=>[6,4,7,2,8,3,1,5]=>0000000 [7,1,6,3,2,8,4,5]=>[5,4,8,2,3,6,1,7]=>0000000 [6,3,8,5,7,2,1,4]=>[4,1,2,7,5,8,3,6]=>0000000 [5,2,7,4,6,1,3,8]=>[8,3,1,6,4,7,2,5]=>0000000 [8,7,2,3,5,1,4,6]=>[6,4,1,5,3,2,7,8]=>0000011 [4,7,6,5,2,3,1,8]=>[8,1,3,2,5,6,7,4]=>0000000 [5,7,2,3,1,8,4,6]=>[6,4,8,1,3,2,7,5]=>0000000 [4,7,6,5,3,1,2,8]=>[8,2,1,3,5,6,7,4]=>0000000 [7,2,3,6,8,5,4,1]=>[1,4,5,8,6,3,2,7]=>1000000 [7,6,3,1,8,5,2,4]=>[4,2,5,8,1,3,6,7]=>0000000 [1,6,4,7,8,5,3,2]=>[2,3,5,8,7,4,6,1]=>0000000 [6,7,3,8,1,4,5,2]=>[2,5,4,1,8,3,7,6]=>0000000 [6,3,5,2,1,7,8,4]=>[4,8,7,1,2,5,3,6]=>0000000 [8,6,3,2,5,7,4,1]=>[1,4,7,5,2,3,6,8]=>1000001 [8,5,7,4,1,3,6,2]=>[2,6,3,1,4,7,5,8]=>0000001 [2,7,3,5,1,4,8,6]=>[6,8,4,1,5,3,7,2]=>0000000 [3,8,5,1,2,4,7,6]=>[6,7,4,2,1,5,8,3]=>0000000 [8,1,3,6,5,2,7,4]=>[4,7,2,5,6,3,1,8]=>0000001 [8,6,2,4,5,1,7,3]=>[3,7,1,5,4,2,6,8]=>0000001 [3,6,7,5,1,4,8,2]=>[2,8,4,1,5,7,6,3]=>0000000 [6,3,7,5,1,2,8,4]=>[4,8,2,1,5,7,3,6]=>0000000 [3,6,7,1,5,4,8,2]=>[2,8,4,5,1,7,6,3]=>0000000 [5,6,1,7,4,8,3,2]=>[2,3,8,4,7,1,6,5]=>0000000 [6,4,7,1,5,2,8,3]=>[3,8,2,5,1,7,4,6]=>0000000 [5,3,4,7,8,2,6,1]=>[1,6,2,8,7,4,3,5]=>1000000 [3,5,6,7,2,1,8,4]=>[4,8,1,2,7,6,5,3]=>0000000 [3,6,4,7,1,8,2,5]=>[5,2,8,1,7,4,6,3]=>0000000 [5,2,3,6,7,4,1,8]=>[8,1,4,7,6,3,2,5]=>0000000 [5,7,3,1,4,2,8,6]=>[6,8,2,4,1,3,7,5]=>0000000 [4,8,6,1,2,5,3,7]=>[7,3,5,2,1,6,8,4]=>0000000 [7,1,3,6,5,8,2,4]=>[4,2,8,5,6,3,1,7]=>0000000 [6,1,4,2,3,8,7,5]=>[5,7,8,3,2,4,1,6]=>0000000 [2,3,5,4,8,6,1,7]=>[7,1,6,8,4,5,3,2]=>0000000 [6,1,3,2,7,8,5,4]=>[4,5,8,7,2,3,1,6]=>0000000 [6,3,4,2,8,7,1,5]=>[5,1,7,8,2,4,3,6]=>0000000 [5,6,1,8,7,2,3,4]=>[4,3,2,7,8,1,6,5]=>0000000 [4,5,6,3,1,7,2,8]=>[8,2,7,1,3,6,5,4]=>0000000 [1,5,7,3,6,2,4,8]=>[8,4,2,6,3,7,5,1]=>0000000 [1,5,8,6,2,3,4,7]=>[7,4,3,2,6,8,5,1]=>0000000 [1,4,8,7,3,6,2,5]=>[5,2,6,3,7,8,4,1]=>0000000 [2,5,7,3,8,6,1,4]=>[4,1,6,8,3,7,5,2]=>0000000 [2,5,7,6,8,3,4,1]=>[1,4,3,8,6,7,5,2]=>1000000 [6,7,4,8,5,3,2,1]=>[1,2,3,5,8,4,7,6]=>1110000 [6,5,1,8,3,4,7,2]=>[2,7,4,3,8,1,5,6]=>0000000 [3,8,4,6,5,1,7,2]=>[2,7,1,5,6,4,8,3]=>0000000 [7,3,1,2,6,8,5,4]=>[4,5,8,6,2,1,3,7]=>0000000 [4,8,5,6,1,7,2,3]=>[3,2,7,1,6,5,8,4]=>0000000 [4,8,3,1,5,7,2,6]=>[6,2,7,5,1,3,8,4]=>0000000 [4,5,2,7,8,6,3,1]=>[1,3,6,8,7,2,5,4]=>1000000 [7,4,1,2,5,3,6,8]=>[8,6,3,5,2,1,4,7]=>0000000 [6,7,3,5,4,2,1,8]=>[8,1,2,4,5,3,7,6]=>0000000 [4,3,1,8,7,2,6,5]=>[5,6,2,7,8,1,3,4]=>0000000 [1,4,7,5,8,2,3,6]=>[6,3,2,8,5,7,4,1]=>0000000 [1,5,8,3,6,4,7,2]=>[2,7,4,6,3,8,5,1]=>0000000 [1,6,8,2,7,3,4,5]=>[5,4,3,7,2,8,6,1]=>0000000 [5,1,4,7,8,6,2,3]=>[3,2,6,8,7,4,1,5]=>0000000 [2,5,7,1,8,6,3,4]=>[4,3,6,8,1,7,5,2]=>0000000 [4,3,7,1,5,8,6,2]=>[2,6,8,5,1,7,3,4]=>0000000 [4,8,7,2,6,1,3,5]=>[5,3,1,6,2,7,8,4]=>0000000 [4,5,8,2,1,7,3,6]=>[6,3,7,1,2,8,5,4]=>0000000 [5,8,2,1,7,4,6,3]=>[3,6,4,7,1,2,8,5]=>0000000 [7,8,6,2,3,1,5,4]=>[4,5,1,3,2,6,8,7]=>0000110 [5,3,7,6,8,4,2,1]=>[1,2,4,8,6,7,3,5]=>1100000 [5,6,1,2,8,7,3,4]=>[4,3,7,8,2,1,6,5]=>0000000 [7,4,6,1,3,5,8,2]=>[2,8,5,3,1,6,4,7]=>0000000 [7,1,5,6,4,8,2,3]=>[3,2,8,4,6,5,1,7]=>0000000 [1,8,3,6,2,5,7,4]=>[4,7,5,2,6,3,8,1]=>0000000 [2,8,3,1,7,5,6,4]=>[4,6,5,7,1,3,8,2]=>0000000 [2,5,8,4,6,7,1,3]=>[3,1,7,6,4,8,5,2]=>0000000 [7,2,5,3,4,6,1,8]=>[8,1,6,4,3,5,2,7]=>0000000 [4,2,1,5,6,8,3,7]=>[7,3,8,6,5,1,2,4]=>0000000 [4,7,8,6,2,3,5,1]=>[1,5,3,2,6,8,7,4]=>1000000 [7,1,4,3,8,6,5,2]=>[2,5,6,8,3,4,1,7]=>0000000 [2,3,1,4,8,7,5,6]=>[6,5,7,8,4,1,3,2]=>0000000 [7,1,2,4,8,6,5,3]=>[3,5,6,8,4,2,1,7]=>0000000 [5,3,4,1,8,7,6,2]=>[2,6,7,8,1,4,3,5]=>0000000 [6,5,1,8,3,7,4,2]=>[2,4,7,3,8,1,5,6]=>0000000 [7,1,3,2,8,6,5,4]=>[4,5,6,8,2,3,1,7]=>0000000 [7,1,3,8,2,6,4,5]=>[5,4,6,2,8,3,1,7]=>0000000 [5,2,3,1,8,7,6,4]=>[4,6,7,8,1,3,2,5]=>0000000 [2,5,3,1,8,7,6,4]=>[4,6,7,8,1,3,5,2]=>0000000 [4,3,5,1,8,7,6,2]=>[2,6,7,8,1,5,3,4]=>0000000 [4,6,1,8,7,2,3,5]=>[5,3,2,7,8,1,6,4]=>0000000 [4,2,5,1,8,7,6,3]=>[3,6,7,8,1,5,2,4]=>0000000 [2,4,5,1,8,7,6,3]=>[3,6,7,8,1,5,4,2]=>0000000 [2,7,5,6,4,8,1,3]=>[3,1,8,4,6,5,7,2]=>0000000 [7,1,2,6,3,8,4,5]=>[5,4,8,3,6,2,1,7]=>0000000 [8,2,4,1,3,7,5,6]=>[6,5,7,3,1,4,2,8]=>0000001 [3,4,6,7,2,1,5,8]=>[8,5,1,2,7,6,4,3]=>0000000 [2,5,7,4,6,8,1,3]=>[3,1,8,6,4,7,5,2]=>0000000 [4,6,2,7,5,8,1,3]=>[3,1,8,5,7,2,6,4]=>0000000 [2,4,7,6,3,8,1,5]=>[5,1,8,3,6,7,4,2]=>0000000 [5,6,2,1,8,7,4,3]=>[3,4,7,8,1,2,6,5]=>0000000 [1,6,5,7,3,8,2,4]=>[4,2,8,3,7,5,6,1]=>0000000 [8,1,4,6,7,2,5,3]=>[3,5,2,7,6,4,1,8]=>0000001 [8,1,4,6,2,7,5,3]=>[3,5,7,2,6,4,1,8]=>0000001 [8,2,1,6,7,4,5,3]=>[3,5,4,7,6,1,2,8]=>0000001 [8,7,2,1,5,3,6,4]=>[4,6,3,5,1,2,7,8]=>0000011 [8,1,6,2,4,7,5,3]=>[3,5,7,4,2,6,1,8]=>0000001 [6,3,5,1,4,2,7,8]=>[8,7,2,4,1,5,3,6]=>0000000 [1,5,8,7,4,3,6,2]=>[2,6,3,4,7,8,5,1]=>0000000 [7,5,8,1,4,2,6,3]=>[3,6,2,4,1,8,5,7]=>0000000 [8,5,7,1,4,2,6,3]=>[3,6,2,4,1,7,5,8]=>0000001 [3,8,4,2,7,5,1,6]=>[6,1,5,7,2,4,8,3]=>0000000 [2,7,5,8,6,3,1,4]=>[4,1,3,6,8,5,7,2]=>0000000 [7,4,2,8,5,3,1,6]=>[6,1,3,5,8,2,4,7]=>0000000 [5,8,3,4,6,2,1,7]=>[7,1,2,6,4,3,8,5]=>0000000 [6,8,1,7,3,4,2,5]=>[5,2,4,3,7,1,8,6]=>0000000 [5,7,3,1,6,4,2,8]=>[8,2,4,6,1,3,7,5]=>0000000 [5,8,3,1,4,7,6,2]=>[2,6,7,4,1,3,8,5]=>0000000 [6,3,1,8,2,5,7,4]=>[4,7,5,2,8,1,3,6]=>0000000 [4,6,8,1,5,7,2,3]=>[3,2,7,5,1,8,6,4]=>0000000 [5,7,4,8,1,2,6,3]=>[3,6,2,1,8,4,7,5]=>0000000 [8,1,2,3,7,4,6,5]=>[5,6,4,7,3,2,1,8]=>0000001 [7,4,2,6,5,3,8,1]=>[1,8,3,5,6,2,4,7]=>1000000 [8,1,4,6,5,3,2,7]=>[7,2,3,5,6,4,1,8]=>0000001 [8,1,3,2,7,4,5,6]=>[6,5,4,7,2,3,1,8]=>0000001 [8,1,3,6,5,7,2,4]=>[4,2,7,5,6,3,1,8]=>0000001 [7,3,2,6,5,8,4,1]=>[1,4,8,5,6,2,3,7]=>1000000 [2,4,7,3,5,8,1,6]=>[6,1,8,5,3,7,4,2]=>0000000 [4,5,1,6,8,7,2,3]=>[3,2,7,8,6,1,5,4]=>0000000 [3,4,7,2,5,8,6,1]=>[1,6,8,5,2,7,4,3]=>1000000 [3,4,7,1,5,8,2,6]=>[6,2,8,5,1,7,4,3]=>0000000 [3,2,7,4,5,1,6,8]=>[8,6,1,5,4,7,2,3]=>0000000 [6,2,7,4,5,3,1,8]=>[8,1,3,5,4,7,2,6]=>0000000 [6,8,2,5,3,4,1,7]=>[7,1,4,3,5,2,8,6]=>0000000 [7,3,4,6,5,1,2,8]=>[8,2,1,5,6,4,3,7]=>0000000 [2,3,7,4,5,1,8,6]=>[6,8,1,5,4,7,3,2]=>0000000 [6,8,3,5,2,4,7,1]=>[1,7,4,2,5,3,8,6]=>1000000 [7,2,5,3,1,4,6,8]=>[8,6,4,1,3,5,2,7]=>0000000 [5,8,3,2,6,4,7,1]=>[1,7,4,6,2,3,8,5]=>1000000 [4,2,7,3,5,6,1,8]=>[8,1,6,5,3,7,2,4]=>0000000 [4,2,7,1,5,3,6,8]=>[8,6,3,5,1,7,2,4]=>0000000 [4,8,7,1,6,5,2,3]=>[3,2,5,6,1,7,8,4]=>0000000 [3,2,7,1,5,6,4,8]=>[8,4,6,5,1,7,2,3]=>0000000 [3,8,7,6,1,5,2,4]=>[4,2,5,1,6,7,8,3]=>0000000 [2,1,7,5,8,6,3,4]=>[4,3,6,8,5,7,1,2]=>0000000 [5,3,4,7,8,1,6,2]=>[2,6,1,8,7,4,3,5]=>0000000 [5,1,4,8,2,3,7,6]=>[6,7,3,2,8,4,1,5]=>0000000 [5,8,6,3,1,2,4,7]=>[7,4,2,1,3,6,8,5]=>0000000 [2,3,7,8,5,4,6,1]=>[1,6,4,5,8,7,3,2]=>1000000 [6,7,2,3,8,1,5,4]=>[4,5,1,8,3,2,7,6]=>0000000 [7,4,8,6,3,5,1,2]=>[2,1,5,3,6,8,4,7]=>0100000 [7,4,8,6,2,3,5,1]=>[1,5,3,2,6,8,4,7]=>1000000 [7,1,5,4,2,3,8,6]=>[6,8,3,2,4,5,1,7]=>0000000 [3,6,7,2,5,1,8,4]=>[4,8,1,5,2,7,6,3]=>0000000 [6,1,8,4,2,5,7,3]=>[3,7,5,2,4,8,1,6]=>0000000 [8,1,2,6,4,7,5,3]=>[3,5,7,4,6,2,1,8]=>0000001 [8,4,1,6,2,7,5,3]=>[3,5,7,2,6,1,4,8]=>0000001 [8,4,1,6,7,2,5,3]=>[3,5,2,7,6,1,4,8]=>0000001 [6,2,8,1,4,5,7,3]=>[3,7,5,4,1,8,2,6]=>0000000 [8,4,6,2,1,7,5,3]=>[3,5,7,1,2,6,4,8]=>0000001 [8,2,6,4,1,7,5,3]=>[3,5,7,1,4,6,2,8]=>0000001 [8,6,1,2,4,7,5,3]=>[3,5,7,4,2,1,6,8]=>0000001 [8,2,6,1,7,4,5,3]=>[3,5,4,7,1,6,2,8]=>0000001 [8,6,2,1,7,4,5,3]=>[3,5,4,7,1,2,6,8]=>0000001 [6,8,2,1,4,7,5,3]=>[3,5,7,4,1,2,8,6]=>0000000 [6,8,2,4,1,7,5,3]=>[3,5,7,1,4,2,8,6]=>0000000 [6,4,8,1,5,2,7,3]=>[3,7,2,5,1,8,4,6]=>0000000 [8,5,7,6,2,3,4,1]=>[1,4,3,2,6,7,5,8]=>1001001 [8,4,2,3,6,7,5,1]=>[1,5,7,6,3,2,4,8]=>1000001 [7,4,1,8,3,6,5,2]=>[2,5,6,3,8,1,4,7]=>0000000 [2,7,4,5,8,6,1,3]=>[3,1,6,8,5,4,7,2]=>0000000 [2,7,4,6,8,1,5,3]=>[3,5,1,8,6,4,7,2]=>0000000 [4,1,7,2,8,5,3,6]=>[6,3,5,8,2,7,1,4]=>0000000 [7,1,6,3,5,4,8,2]=>[2,8,4,5,3,6,1,7]=>0000000 [2,8,6,1,7,5,3,4]=>[4,3,5,7,1,6,8,2]=>0000000 [2,4,5,8,7,1,3,6]=>[6,3,1,7,8,5,4,2]=>0000000 [8,7,2,4,3,6,5,1]=>[1,5,6,3,4,2,7,8]=>1000011 [4,2,8,7,3,6,5,1]=>[1,5,6,3,7,8,2,4]=>1000000 [4,7,2,3,6,8,5,1]=>[1,5,8,6,3,2,7,4]=>1000000 [8,5,2,3,4,7,6,1]=>[1,6,7,4,3,2,5,8]=>1000001 [4,5,1,8,7,3,6,2]=>[2,6,3,7,8,1,5,4]=>0000000 [6,4,2,5,7,8,1,3]=>[3,1,8,7,5,2,4,6]=>0000000 [5,4,1,6,7,3,8,2]=>[2,8,3,7,6,1,4,5]=>0000000 [3,6,5,4,1,8,2,7]=>[7,2,8,1,4,5,6,3]=>0000000 [4,3,8,5,2,7,1,6]=>[6,1,7,2,5,8,3,4]=>0000000 [2,6,7,4,3,1,8,5]=>[5,8,1,3,4,7,6,2]=>0000000 [6,3,1,5,2,8,7,4]=>[4,7,8,2,5,1,3,6]=>0000000 [3,7,8,6,5,2,4,1]=>[1,4,2,5,6,8,7,3]=>1000000 [7,4,5,2,6,3,1,8]=>[8,1,3,6,2,5,4,7]=>0000000 [8,4,5,3,6,1,7,2]=>[2,7,1,6,3,5,4,8]=>0000001 [8,6,3,4,5,1,7,2]=>[2,7,1,5,4,3,6,8]=>0000001 [8,6,3,5,4,1,7,2]=>[2,7,1,4,5,3,6,8]=>0000001 [8,7,4,5,1,3,6,2]=>[2,6,3,1,5,4,7,8]=>0000011 [8,4,5,2,6,1,7,3]=>[3,7,1,6,2,5,4,8]=>0000001 [8,6,2,5,3,1,4,7]=>[7,4,1,3,5,2,6,8]=>0000001 [8,4,7,3,1,2,5,6]=>[6,5,2,1,3,7,4,8]=>0000001 [8,7,3,5,1,6,4,2]=>[2,4,6,1,5,3,7,8]=>0000011 [8,6,2,3,5,1,7,4]=>[4,7,1,5,3,2,6,8]=>0000001 [4,8,3,2,6,1,7,5]=>[5,7,1,6,2,3,8,4]=>0000000 [3,6,2,5,7,8,4,1]=>[1,4,8,7,5,2,6,3]=>1000000 [6,1,3,5,7,4,8,2]=>[2,8,4,7,5,3,1,6]=>0000000 [5,4,1,7,2,3,6,8]=>[8,6,3,2,7,1,4,5]=>0000000 [4,1,7,2,5,3,6,8]=>[8,6,3,5,2,7,1,4]=>0000000 [5,3,4,1,6,7,2,8]=>[8,2,7,6,1,4,3,5]=>0000000 [5,2,1,6,4,3,8,7]=>[7,8,3,4,6,1,2,5]=>0000000 [3,2,5,7,4,8,6,1]=>[1,6,8,4,7,5,2,3]=>1000000 [6,5,8,4,2,1,7,3]=>[3,7,1,2,4,8,5,6]=>0000000 [5,1,2,7,6,4,8,3]=>[3,8,4,6,7,2,1,5]=>0000000 [4,3,2,6,8,7,1,5]=>[5,1,7,8,6,2,3,4]=>0000000 [4,3,2,7,8,5,6,1]=>[1,6,5,8,7,2,3,4]=>1000000 [7,5,6,4,1,8,3,2]=>[2,3,8,1,4,6,5,7]=>0000000 [2,5,4,3,8,1,7,6]=>[6,7,1,8,3,4,5,2]=>0000000 [6,4,5,2,8,3,7,1]=>[1,7,3,8,2,5,4,6]=>1000000 [3,1,2,8,5,4,6,7]=>[7,6,4,5,8,2,1,3]=>0000000 [3,6,2,1,8,4,7,5]=>[5,7,4,8,1,2,6,3]=>0000000 [3,5,1,6,7,4,8,2]=>[2,8,4,7,6,1,5,3]=>0000000 [2,4,5,7,3,6,1,8]=>[8,1,6,3,7,5,4,2]=>0000000 [6,4,3,7,1,8,2,5]=>[5,2,8,1,7,3,4,6]=>0000000 [5,1,2,7,6,3,4,8]=>[8,4,3,6,7,2,1,5]=>0000000 [7,1,5,4,2,6,3,8]=>[8,3,6,2,4,5,1,7]=>0000000 [4,6,1,5,2,8,7,3]=>[3,7,8,2,5,1,6,4]=>0000000 [5,1,8,6,2,7,4,3]=>[3,4,7,2,6,8,1,5]=>0000000 [3,8,6,1,5,7,4,2]=>[2,4,7,5,1,6,8,3]=>0000000 [8,6,7,1,3,5,4,2]=>[2,4,5,3,1,7,6,8]=>0000101 [3,4,1,6,8,7,5,2]=>[2,5,7,8,6,1,4,3]=>0000000 [6,1,3,8,5,7,4,2]=>[2,4,7,5,8,3,1,6]=>0000000 [7,3,1,6,2,5,8,4]=>[4,8,5,2,6,1,3,7]=>0000000 [7,3,1,6,2,4,5,8]=>[8,5,4,2,6,1,3,7]=>0000000 [5,4,3,1,7,2,8,6]=>[6,8,2,7,1,3,4,5]=>0000000 [5,3,1,6,4,7,2,8]=>[8,2,7,4,6,1,3,5]=>0000000 [1,6,2,7,8,4,5,3]=>[3,5,4,8,7,2,6,1]=>0000000 [5,8,1,6,4,2,7,3]=>[3,7,2,4,6,1,8,5]=>0000000 [6,8,7,4,1,3,2,5]=>[5,2,3,1,4,7,8,6]=>0000100 [7,6,3,2,8,1,5,4]=>[4,5,1,8,2,3,6,7]=>0000000 [7,8,3,6,1,2,5,4]=>[4,5,2,1,6,3,8,7]=>0000010 [7,4,3,1,6,8,2,5]=>[5,2,8,6,1,3,4,7]=>0000000 [7,1,3,2,6,8,4,5]=>[5,4,8,6,2,3,1,7]=>0000000 [5,8,4,3,7,6,2,1]=>[1,2,6,7,3,4,8,5]=>1100000 [8,5,4,1,2,3,7,6]=>[6,7,3,2,1,4,5,8]=>0000001 [4,5,8,7,3,6,2,1]=>[1,2,6,3,7,8,5,4]=>1100000 [2,6,1,8,4,7,5,3]=>[3,5,7,4,8,1,6,2]=>0000000 [3,7,6,2,1,4,8,5]=>[5,8,4,1,2,6,7,3]=>0000000 [3,6,7,4,2,1,8,5]=>[5,8,1,2,4,7,6,3]=>0000000 [3,7,6,5,4,1,8,2]=>[2,8,1,4,5,6,7,3]=>0000000 [4,3,7,5,8,1,2,6]=>[6,2,1,8,5,7,3,4]=>0000000 [3,8,5,7,2,1,4,6]=>[6,4,1,2,7,5,8,3]=>0000000 [4,8,5,6,3,7,2,1]=>[1,2,7,3,6,5,8,4]=>1100000 [4,1,8,5,7,6,2,3]=>[3,2,6,7,5,8,1,4]=>0000000 [4,8,3,6,5,7,2,1]=>[1,2,7,5,6,3,8,4]=>1100000 [4,1,8,6,5,7,3,2]=>[2,3,7,5,6,8,1,4]=>0000000 [7,6,3,2,1,4,8,5]=>[5,8,4,1,2,3,6,7]=>0000000 [6,1,3,2,5,8,4,7]=>[7,4,8,5,2,3,1,6]=>0000000 [7,1,5,4,2,6,8,3]=>[3,8,6,2,4,5,1,7]=>0000000 [4,2,7,3,6,1,5,8]=>[8,5,1,6,3,7,2,4]=>0000000 [6,5,8,3,2,7,1,4]=>[4,1,7,2,3,8,5,6]=>0000000 [6,2,8,5,3,7,1,4]=>[4,1,7,3,5,8,2,6]=>0000000 [4,3,2,8,7,5,1,6]=>[6,1,5,7,8,2,3,4]=>0000000 [6,4,2,1,5,7,8,3]=>[3,8,7,5,1,2,4,6]=>0000000 [7,3,2,1,4,8,5,6]=>[6,5,8,4,1,2,3,7]=>0000000 [6,3,2,8,4,7,5,1]=>[1,5,7,4,8,2,3,6]=>1000000 [5,4,7,2,1,3,8,6]=>[6,8,3,1,2,7,4,5]=>0000000 [6,5,3,2,7,8,4,1]=>[1,4,8,7,2,3,5,6]=>1000000 [6,4,3,2,7,8,5,1]=>[1,5,8,7,2,3,4,6]=>1000000 [7,5,4,2,8,1,6,3]=>[3,6,1,8,2,4,5,7]=>0000000 [4,6,7,5,1,8,3,2]=>[2,3,8,1,5,7,6,4]=>0000000 [4,1,7,6,5,2,8,3]=>[3,8,2,5,6,7,1,4]=>0000000 [3,7,4,6,1,5,8,2]=>[2,8,5,1,6,4,7,3]=>0000000 [3,6,8,5,4,2,7,1]=>[1,7,2,4,5,8,6,3]=>1000000 [2,4,1,3,7,6,5,8]=>[8,5,6,7,3,1,4,2]=>0000000 [6,4,7,2,5,8,3,1]=>[1,3,8,5,2,7,4,6]=>1000000 [8,3,5,6,4,1,7,2]=>[2,7,1,4,6,5,3,8]=>0000001 [7,2,8,3,5,6,4,1]=>[1,4,6,5,3,8,2,7]=>1000000 [2,7,6,8,4,1,3,5]=>[5,3,1,4,8,6,7,2]=>0000000 [7,1,3,8,6,5,2,4]=>[4,2,5,6,8,3,1,7]=>0000000 [7,4,6,5,8,2,1,3]=>[3,1,2,8,5,6,4,7]=>0010000 [7,4,3,8,6,1,2,5]=>[5,2,1,6,8,3,4,7]=>0000000 [7,2,3,6,1,8,5,4]=>[4,5,8,1,6,3,2,7]=>0000000 [6,3,4,1,8,2,5,7]=>[7,5,2,8,1,4,3,6]=>0000000 [5,4,8,2,3,1,7,6]=>[6,7,1,3,2,8,4,5]=>0000000 [5,1,8,7,3,6,2,4]=>[4,2,6,3,7,8,1,5]=>0000000 [2,3,5,8,4,7,6,1]=>[1,6,7,4,8,5,3,2]=>1000000 [2,7,8,6,3,4,5,1]=>[1,5,4,3,6,8,7,2]=>1000000 [6,7,1,2,5,8,4,3]=>[3,4,8,5,2,1,7,6]=>0000000 [3,1,8,5,7,2,6,4]=>[4,6,2,7,5,8,1,3]=>0000000 [5,8,4,6,2,7,3,1]=>[1,3,7,2,6,4,8,5]=>1000000 [6,8,7,1,4,5,2,3]=>[3,2,5,4,1,7,8,6]=>0000100 [6,1,3,8,5,4,2,7]=>[7,2,4,5,8,3,1,6]=>0000000 [2,7,8,3,5,6,4,1]=>[1,4,6,5,3,8,7,2]=>1000000 [6,7,8,2,5,4,1,3]=>[3,1,4,5,2,8,7,6]=>0000100 [8,6,2,1,5,4,7,3]=>[3,7,4,5,1,2,6,8]=>0000001 [3,6,1,2,5,4,7,8]=>[8,7,4,5,2,1,6,3]=>0000000 [5,6,4,2,1,7,3,8]=>[8,3,7,1,2,4,6,5]=>0000000 [4,2,7,6,5,3,8,1]=>[1,8,3,5,6,7,2,4]=>1000000 [2,3,7,6,4,8,5,1]=>[1,5,8,4,6,7,3,2]=>1000000 [2,4,7,6,5,1,8,3]=>[3,8,1,5,6,7,4,2]=>0000000 [4,5,7,8,6,2,3,1]=>[1,3,2,6,8,7,5,4]=>1010000 [6,4,7,1,2,5,3,8]=>[8,3,5,2,1,7,4,6]=>0000000 [3,1,7,6,5,2,4,8]=>[8,4,2,5,6,7,1,3]=>0000000 [1,3,8,5,7,4,2,6]=>[6,2,4,7,5,8,3,1]=>0000000 [5,7,6,3,1,2,8,4]=>[4,8,2,1,3,6,7,5]=>0000000 [8,1,3,5,7,4,2,6]=>[6,2,4,7,5,3,1,8]=>0000001 [1,2,7,5,8,6,3,4]=>[4,3,6,8,5,7,2,1]=>0000000 [6,4,2,3,7,5,8,1]=>[1,8,5,7,3,2,4,6]=>1000000 [6,1,5,7,4,8,2,3]=>[3,2,8,4,7,5,1,6]=>0000000 [5,4,2,7,1,3,8,6]=>[6,8,3,1,7,2,4,5]=>0000000 [6,4,7,5,3,8,1,2]=>[2,1,8,3,5,7,4,6]=>0100000 [6,4,7,5,3,8,2,1]=>[1,2,8,3,5,7,4,6]=>1100000 [1,7,5,8,3,2,4,6]=>[6,4,2,3,8,5,7,1]=>0000000 [1,3,8,5,7,2,4,6]=>[6,4,2,7,5,8,3,1]=>0000000 [6,3,8,5,7,1,4,2]=>[2,4,1,7,5,8,3,6]=>0000000 [8,3,2,5,6,4,1,7]=>[7,1,4,6,5,2,3,8]=>0000001 [3,2,8,5,6,4,1,7]=>[7,1,4,6,5,8,2,3]=>0000000 [2,3,8,5,6,4,1,7]=>[7,1,4,6,5,8,3,2]=>0000000 [3,8,2,5,6,4,1,7]=>[7,1,4,6,5,2,8,3]=>0000000 [2,5,8,6,1,7,4,3]=>[3,4,7,1,6,8,5,2]=>0000000 [5,2,6,8,7,1,4,3]=>[3,4,1,7,8,6,2,5]=>0000000 [8,1,5,6,2,7,4,3]=>[3,4,7,2,6,5,1,8]=>0000001 [6,2,1,5,3,7,8,4]=>[4,8,7,3,5,1,2,6]=>0000000 [2,7,4,3,1,5,8,6]=>[6,8,5,1,3,4,7,2]=>0000000 [5,7,6,1,4,3,8,2]=>[2,8,3,4,1,6,7,5]=>0000000 [3,8,1,6,2,7,4,5]=>[5,4,7,2,6,1,8,3]=>0000000 [7,8,5,1,3,4,2,6]=>[6,2,4,3,1,5,8,7]=>0000010 [7,5,6,1,4,3,8,2]=>[2,8,3,4,1,6,5,7]=>0000000 [8,5,1,6,3,7,4,2]=>[2,4,7,3,6,1,5,8]=>0000001 [7,4,6,1,2,3,8,5]=>[5,8,3,2,1,6,4,7]=>0000000 [6,4,2,1,7,3,5,8]=>[8,5,3,7,1,2,4,6]=>0000000 [6,1,4,5,7,8,2,3]=>[3,2,8,7,5,4,1,6]=>0000000 [6,4,2,5,7,8,3,1]=>[1,3,8,7,5,2,4,6]=>1000000 [2,7,8,5,6,3,1,4]=>[4,1,3,6,5,8,7,2]=>0000000 [2,7,8,5,1,6,3,4]=>[4,3,6,1,5,8,7,2]=>0000000 [2,7,8,1,5,3,6,4]=>[4,6,3,5,1,8,7,2]=>0000000 [2,7,8,5,3,1,6,4]=>[4,6,1,3,5,8,7,2]=>0000000 [2,7,8,3,5,1,6,4]=>[4,6,1,5,3,8,7,2]=>0000000 [2,7,3,8,5,6,4,1]=>[1,4,6,5,8,3,7,2]=>1000000 [2,3,7,8,5,6,4,1]=>[1,4,6,5,8,7,3,2]=>1000000 [2,3,7,5,8,1,6,4]=>[4,6,1,8,5,7,3,2]=>0000000 [2,3,7,5,8,6,4,1]=>[1,4,6,8,5,7,3,2]=>1000000 [2,7,3,5,1,8,6,4]=>[4,6,8,1,5,3,7,2]=>0000000 [2,7,5,3,8,6,1,4]=>[4,1,6,8,3,5,7,2]=>0000000 [2,7,5,8,3,6,4,1]=>[1,4,6,3,8,5,7,2]=>1000000 [2,7,5,8,3,1,6,4]=>[4,6,1,3,8,5,7,2]=>0000000 [4,3,1,7,8,2,5,6]=>[6,5,2,8,7,1,3,4]=>0000000 [2,5,7,8,1,3,6,4]=>[4,6,3,1,8,7,5,2]=>0000000 [2,5,7,8,3,6,4,1]=>[1,4,6,3,8,7,5,2]=>1000000 [6,1,3,5,7,8,2,4]=>[4,2,8,7,5,3,1,6]=>0000000 [4,2,7,8,6,5,3,1]=>[1,3,5,6,8,7,2,4]=>1000000 [4,2,7,1,6,5,3,8]=>[8,3,5,6,1,7,2,4]=>0000000 [5,7,1,6,8,4,2,3]=>[3,2,4,8,6,1,7,5]=>0000000 [5,8,6,3,2,4,7,1]=>[1,7,4,2,3,6,8,5]=>1000000 [7,1,2,3,8,4,6,5]=>[5,6,4,8,3,2,1,7]=>0000000 [4,1,3,5,2,7,6,8]=>[8,6,7,2,5,3,1,4]=>0000000 [6,7,4,5,2,8,3,1]=>[1,3,8,2,5,4,7,6]=>1000000 [3,7,4,8,6,5,2,1]=>[1,2,5,6,8,4,7,3]=>1100000 [3,8,6,5,4,2,7,1]=>[1,7,2,4,5,6,8,3]=>1000000 [4,8,5,7,3,2,6,1]=>[1,6,2,3,7,5,8,4]=>1000000 [2,6,7,4,8,1,5,3]=>[3,5,1,8,4,7,6,2]=>0000000 [7,4,8,1,2,6,5,3]=>[3,5,6,2,1,8,4,7]=>0000000 [1,6,4,8,2,3,5,7]=>[7,5,3,2,8,4,6,1]=>0000000 [1,6,8,3,7,5,4,2]=>[2,4,5,7,3,8,6,1]=>0000000 [7,3,6,5,1,8,2,4]=>[4,2,8,1,5,6,3,7]=>0000000 [7,2,4,1,8,6,3,5]=>[5,3,6,8,1,4,2,7]=>0000000 [1,6,8,2,7,3,5,4]=>[4,5,3,7,2,8,6,1]=>0000000 [2,5,8,3,7,1,4,6]=>[6,4,1,7,3,8,5,2]=>0000000 [2,4,8,7,3,1,6,5]=>[5,6,1,3,7,8,4,2]=>0000000 [5,8,3,4,1,2,7,6]=>[6,7,2,1,4,3,8,5]=>0000000 [5,8,2,1,3,7,4,6]=>[6,4,7,3,1,2,8,5]=>0000000 [4,8,7,2,1,3,6,5]=>[5,6,3,1,2,7,8,4]=>0000000 [4,8,7,2,3,1,6,5]=>[5,6,1,3,2,7,8,4]=>0000000 [1,4,8,7,2,3,6,5]=>[5,6,3,2,7,8,4,1]=>0000000 [5,8,1,3,7,4,6,2]=>[2,6,4,7,3,1,8,5]=>0000000 [5,4,8,1,7,2,3,6]=>[6,3,2,7,1,8,4,5]=>0000000 [1,5,3,7,8,4,6,2]=>[2,6,4,8,7,3,5,1]=>0000000 [8,6,1,4,3,2,7,5]=>[5,7,2,3,4,1,6,8]=>0000001 [8,6,1,5,3,7,2,4]=>[4,2,7,3,5,1,6,8]=>0000001 [2,8,4,6,1,3,7,5]=>[5,7,3,1,6,4,8,2]=>0000000 [4,5,8,3,6,2,1,7]=>[7,1,2,6,3,8,5,4]=>0000000 [4,5,1,7,8,6,2,3]=>[3,2,6,8,7,1,5,4]=>0000000 [7,4,1,2,5,6,3,8]=>[8,3,6,5,2,1,4,7]=>0000000 [6,4,1,2,5,8,3,7]=>[7,3,8,5,2,1,4,6]=>0000000 [5,7,3,4,6,2,1,8]=>[8,1,2,6,4,3,7,5]=>0000000 [7,3,5,6,2,4,1,8]=>[8,1,4,2,6,5,3,7]=>0000000 [3,7,2,5,6,1,4,8]=>[8,4,1,6,5,2,7,3]=>0000000 [5,3,4,7,2,1,6,8]=>[8,6,1,2,7,4,3,5]=>0000000 [4,7,3,1,5,2,8,6]=>[6,8,2,5,1,3,7,4]=>0000000 [5,4,1,6,8,7,2,3]=>[3,2,7,8,6,1,4,5]=>0000000 [4,5,1,7,8,2,6,3]=>[3,6,2,8,7,1,5,4]=>0000000 [4,2,6,7,1,8,5,3]=>[3,5,8,1,7,6,2,4]=>0000000 [4,1,6,7,2,8,5,3]=>[3,5,8,2,7,6,1,4]=>0000000 [3,5,7,8,4,2,6,1]=>[1,6,2,4,8,7,5,3]=>1000000 [4,1,5,7,8,3,6,2]=>[2,6,3,8,7,5,1,4]=>0000000 [3,6,7,1,4,5,8,2]=>[2,8,5,4,1,7,6,3]=>0000000 [5,4,2,7,6,8,3,1]=>[1,3,8,6,7,2,4,5]=>1000000 [4,7,8,2,6,5,1,3]=>[3,1,5,6,2,8,7,4]=>0000000 [3,8,1,5,7,2,6,4]=>[4,6,2,7,5,1,8,3]=>0000000 [4,7,8,2,6,3,5,1]=>[1,5,3,6,2,8,7,4]=>1000000 [4,5,8,2,7,1,3,6]=>[6,3,1,7,2,8,5,4]=>0000000 [6,7,8,5,3,1,4,2]=>[2,4,1,3,5,8,7,6]=>0001100 [6,7,5,1,8,3,4,2]=>[2,4,3,8,1,5,7,6]=>0000000 [5,3,8,1,4,2,7,6]=>[6,7,2,4,1,8,3,5]=>0000000 [5,2,4,1,6,8,3,7]=>[7,3,8,6,1,4,2,5]=>0000000 [8,7,2,3,1,6,4,5]=>[5,4,6,1,3,2,7,8]=>0000011 [2,5,8,7,3,1,4,6]=>[6,4,1,3,7,8,5,2]=>0000000 [1,4,6,7,8,2,5,3]=>[3,5,2,8,7,6,4,1]=>0000000 [5,6,1,7,4,2,3,8]=>[8,3,2,4,7,1,6,5]=>0000000 [5,6,1,8,4,2,3,7]=>[7,3,2,4,8,1,6,5]=>0000000 [5,7,1,3,6,2,4,8]=>[8,4,2,6,3,1,7,5]=>0000000 [3,6,4,1,2,5,7,8]=>[8,7,5,2,1,4,6,3]=>0000000 [3,6,4,1,2,5,8,7]=>[7,8,5,2,1,4,6,3]=>0000000 [4,7,1,3,2,5,8,6]=>[6,8,5,2,3,1,7,4]=>0000000 [4,7,1,3,2,6,8,5]=>[5,8,6,2,3,1,7,4]=>0000000 [5,7,1,3,6,2,8,4]=>[4,8,2,6,3,1,7,5]=>0000000 [6,8,2,5,7,3,1,4]=>[4,1,3,7,5,2,8,6]=>0000000 [5,8,6,3,4,7,2,1]=>[1,2,7,4,3,6,8,5]=>1100000 [4,7,1,3,2,8,5,6]=>[6,5,8,2,3,1,7,4]=>0000000 [3,6,5,1,8,2,4,7]=>[7,4,2,8,1,5,6,3]=>0000000 [5,8,7,3,4,2,6,1]=>[1,6,2,4,3,7,8,5]=>1000000 [5,4,8,3,1,2,7,6]=>[6,7,2,1,3,8,4,5]=>0000000 [5,2,8,1,6,7,4,3]=>[3,4,7,6,1,8,2,5]=>0000000 [6,4,3,8,7,5,2,1]=>[1,2,5,7,8,3,4,6]=>1100000 [6,3,1,5,4,8,2,7]=>[7,2,8,4,5,1,3,6]=>0000000 [8,4,2,6,5,7,3,1]=>[1,3,7,5,6,2,4,8]=>1000001 [4,7,6,3,5,2,8,1]=>[1,8,2,5,3,6,7,4]=>1000000 [8,7,3,2,6,4,5,1]=>[1,5,4,6,2,3,7,8]=>1000011 [8,3,1,4,7,5,2,6]=>[6,2,5,7,4,1,3,8]=>0000001 [5,3,1,6,4,8,7,2]=>[2,7,8,4,6,1,3,5]=>0000000 [3,4,8,5,7,2,6,1]=>[1,6,2,7,5,8,4,3]=>1000000 [6,3,5,8,1,7,2,4]=>[4,2,7,1,8,5,3,6]=>0000000 [5,7,8,2,4,1,3,6]=>[6,3,1,4,2,8,7,5]=>0000000 [5,4,6,2,1,8,3,7]=>[7,3,8,1,2,6,4,5]=>0000000 [8,2,4,5,7,1,3,6]=>[6,3,1,7,5,4,2,8]=>0000001 [3,7,6,2,5,1,8,4]=>[4,8,1,5,2,6,7,3]=>0000000 [3,4,6,8,2,5,1,7]=>[7,1,5,2,8,6,4,3]=>0000000 [2,7,4,3,1,8,5,6]=>[6,5,8,1,3,4,7,2]=>0000000 [6,5,7,3,2,1,8,4]=>[4,8,1,2,3,7,5,6]=>0000000 [7,2,3,6,4,5,8,1]=>[1,8,5,4,6,3,2,7]=>1000000 [1,5,8,7,2,4,6,3]=>[3,6,4,2,7,8,5,1]=>0000000 [5,1,8,7,2,4,6,3]=>[3,6,4,2,7,8,1,5]=>0000000 [7,2,8,6,3,1,5,4]=>[4,5,1,3,6,8,2,7]=>0000000 [2,5,8,7,1,4,6,3]=>[3,6,4,1,7,8,5,2]=>0000000 [5,4,6,8,2,3,1,7]=>[7,1,3,2,8,6,4,5]=>0000000 [5,3,8,7,1,4,6,2]=>[2,6,4,1,7,8,3,5]=>0000000 [5,4,6,8,1,3,2,7]=>[7,2,3,1,8,6,4,5]=>0000000 [5,1,4,3,6,8,2,7]=>[7,2,8,6,3,4,1,5]=>0000000 [4,8,6,5,1,3,2,7]=>[7,2,3,1,5,6,8,4]=>0000000 [4,5,6,1,8,3,2,7]=>[7,2,3,8,1,6,5,4]=>0000000 [1,4,6,5,8,3,2,7]=>[7,2,3,8,5,6,4,1]=>0000000 [4,8,6,5,2,3,1,7]=>[7,1,3,2,5,6,8,4]=>0000000 [3,8,5,7,2,4,6,1]=>[1,6,4,2,7,5,8,3]=>1000000 [4,5,6,2,8,3,1,7]=>[7,1,3,8,2,6,5,4]=>0000000 [5,7,3,6,4,2,1,8]=>[8,1,2,4,6,3,7,5]=>0000000 [2,4,6,1,8,7,3,5]=>[5,3,7,8,1,6,4,2]=>0000000 [2,4,6,5,8,3,7,1]=>[1,7,3,8,5,6,4,2]=>1000000 [2,4,6,8,5,3,1,7]=>[7,1,3,5,8,6,4,2]=>0000000 [2,4,6,8,5,3,7,1]=>[1,7,3,5,8,6,4,2]=>1000000 [2,4,6,8,5,7,3,1]=>[1,3,7,5,8,6,4,2]=>1000000 [2,4,6,5,3,8,1,7]=>[7,1,8,3,5,6,4,2]=>0000000 [2,4,6,5,8,7,1,3]=>[3,1,7,8,5,6,4,2]=>0000000 [2,4,6,8,7,5,1,3]=>[3,1,5,7,8,6,4,2]=>0000000 [2,4,6,8,5,7,1,3]=>[3,1,7,5,8,6,4,2]=>0000000 [2,4,6,8,7,1,5,3]=>[3,5,1,7,8,6,4,2]=>0000000 [2,4,6,8,7,1,3,5]=>[5,3,1,7,8,6,4,2]=>0000000 [2,4,6,8,1,7,3,5]=>[5,3,7,1,8,6,4,2]=>0000000 [4,8,3,5,7,2,1,6]=>[6,1,2,7,5,3,8,4]=>0000000 [7,5,1,3,4,2,6,8]=>[8,6,2,4,3,1,5,7]=>0000000 [5,2,3,6,4,7,1,8]=>[8,1,7,4,6,3,2,5]=>0000000 [3,6,7,5,8,2,4,1]=>[1,4,2,8,5,7,6,3]=>1000000 [5,7,3,4,8,6,2,1]=>[1,2,6,8,4,3,7,5]=>1100000 [2,7,3,6,4,5,8,1]=>[1,8,5,4,6,3,7,2]=>1000000 [1,8,5,3,2,4,6,7]=>[7,6,4,2,3,5,8,1]=>0000000 [7,1,8,6,4,2,3,5]=>[5,3,2,4,6,8,1,7]=>0000000 [8,6,5,1,3,7,2,4]=>[4,2,7,3,1,5,6,8]=>0000001 [6,5,4,1,2,7,3,8]=>[8,3,7,2,1,4,5,6]=>0000000 [6,5,3,7,4,1,8,2]=>[2,8,1,4,7,3,5,6]=>0000000 [7,2,4,5,3,8,6,1]=>[1,6,8,3,5,4,2,7]=>1000000 [2,8,1,4,6,5,7,3]=>[3,7,5,6,4,1,8,2]=>0000000 [6,3,5,7,8,4,1,2]=>[2,1,4,8,7,5,3,6]=>0100000 [4,3,5,7,8,6,1,2]=>[2,1,6,8,7,5,3,4]=>0100000 [3,6,2,1,5,7,8,4]=>[4,8,7,5,1,2,6,3]=>0000000 [3,8,1,5,7,6,2,4]=>[4,2,6,7,5,1,8,3]=>0000000 [5,2,7,1,6,3,8,4]=>[4,8,3,6,1,7,2,5]=>0000000 [5,4,7,1,8,2,3,6]=>[6,3,2,8,1,7,4,5]=>0000000 [5,1,3,6,2,4,8,7]=>[7,8,4,2,6,3,1,5]=>0000000 [4,3,2,7,6,8,1,5]=>[5,1,8,6,7,2,3,4]=>0000000 [4,3,1,2,7,5,8,6]=>[6,8,5,7,2,1,3,4]=>0000000 [4,8,3,2,1,6,5,7]=>[7,5,6,1,2,3,8,4]=>0000000 [4,8,3,2,5,1,6,7]=>[7,6,1,5,2,3,8,4]=>0000000 [4,3,2,8,6,7,1,5]=>[5,1,7,6,8,2,3,4]=>0000000 [4,3,1,2,5,7,8,6]=>[6,8,7,5,2,1,3,4]=>0000000 [5,3,2,1,8,7,4,6]=>[6,4,7,8,1,2,3,5]=>0000000 [5,8,4,2,1,3,7,6]=>[6,7,3,1,2,4,8,5]=>0000000 [6,5,2,3,1,8,7,4]=>[4,7,8,1,3,2,5,6]=>0000000 [1,6,4,5,8,7,3,2]=>[2,3,7,8,5,4,6,1]=>0000000 [4,5,8,7,2,3,1,6]=>[6,1,3,2,7,8,5,4]=>0000000 [6,4,2,5,7,3,8,1]=>[1,8,3,7,5,2,4,6]=>1000000 [6,4,7,2,3,8,5,1]=>[1,5,8,3,2,7,4,6]=>1000000 [6,4,2,8,5,7,1,3]=>[3,1,7,5,8,2,4,6]=>0000000 [5,1,7,2,8,6,3,4]=>[4,3,6,8,2,7,1,5]=>0000000 [1,3,6,7,4,5,8,2]=>[2,8,5,4,7,6,3,1]=>0000000 [5,6,2,1,8,3,4,7]=>[7,4,3,8,1,2,6,5]=>0000000 [3,8,7,2,6,1,4,5]=>[5,4,1,6,2,7,8,3]=>0000000 [6,3,2,4,8,7,1,5]=>[5,1,7,8,4,2,3,6]=>0000000 [5,2,8,6,3,1,4,7]=>[7,4,1,3,6,8,2,5]=>0000000 [6,1,7,4,8,5,2,3]=>[3,2,5,8,4,7,1,6]=>0000000 [4,7,5,1,8,6,2,3]=>[3,2,6,8,1,5,7,4]=>0000000 [6,4,1,3,7,8,5,2]=>[2,5,8,7,3,1,4,6]=>0000000 [6,1,7,5,3,4,8,2]=>[2,8,4,3,5,7,1,6]=>0000000 [6,3,4,1,7,5,8,2]=>[2,8,5,7,1,4,3,6]=>0000000 [8,7,1,3,5,6,4,2]=>[2,4,6,5,3,1,7,8]=>0000011 [8,1,4,6,7,5,3,2]=>[2,3,5,7,6,4,1,8]=>0000001 [8,1,4,7,5,6,3,2]=>[2,3,6,5,7,4,1,8]=>0000001 [4,2,6,7,8,5,3,1]=>[1,3,5,8,7,6,2,4]=>1000000 [7,1,4,8,5,6,3,2]=>[2,3,6,5,8,4,1,7]=>0000000 [6,4,7,8,3,5,1,2]=>[2,1,5,3,8,7,4,6]=>0100000 [3,5,6,7,1,8,4,2]=>[2,4,8,1,7,6,5,3]=>0000000 [1,7,4,5,2,8,6,3]=>[3,6,8,2,5,4,7,1]=>0000000 [6,8,3,2,1,5,4,7]=>[7,4,5,1,2,3,8,6]=>0000000 [5,1,2,8,7,6,4,3]=>[3,4,6,7,8,2,1,5]=>0000000 [8,6,4,5,1,3,7,2]=>[2,7,3,1,5,4,6,8]=>0000001 [7,5,8,4,1,3,6,2]=>[2,6,3,1,4,8,5,7]=>0000000 [4,7,5,3,6,8,1,2]=>[2,1,8,6,3,5,7,4]=>0100000 [4,8,5,3,7,1,2,6]=>[6,2,1,7,3,5,8,4]=>0000000 [2,8,1,6,5,7,3,4]=>[4,3,7,5,6,1,8,2]=>0000000 [7,4,8,5,3,6,1,2]=>[2,1,6,3,5,8,4,7]=>0100000 [7,4,5,3,8,1,6,2]=>[2,6,1,8,3,5,4,7]=>0000000 [8,4,6,5,1,3,7,2]=>[2,7,3,1,5,6,4,8]=>0000001 [6,3,5,8,1,7,4,2]=>[2,4,7,1,8,5,3,6]=>0000000 [7,3,6,1,5,8,4,2]=>[2,4,8,5,1,6,3,7]=>0000000 [4,5,3,8,7,1,2,6]=>[6,2,1,7,8,3,5,4]=>0000000 [8,5,4,7,6,1,2,3]=>[3,2,1,6,7,4,5,8]=>0010001 [3,7,6,1,5,8,4,2]=>[2,4,8,5,1,6,7,3]=>0000000 [4,6,2,1,8,5,3,7]=>[7,3,5,8,1,2,6,4]=>0000000 [1,3,7,8,6,5,2,4]=>[4,2,5,6,8,7,3,1]=>0000000 [4,2,1,8,7,3,6,5]=>[5,6,3,7,8,1,2,4]=>0000000 [5,2,4,8,1,7,6,3]=>[3,6,7,1,8,4,2,5]=>0000000 [5,1,8,7,3,2,6,4]=>[4,6,2,3,7,8,1,5]=>0000000 [7,4,2,8,3,6,5,1]=>[1,5,6,3,8,2,4,7]=>1000000 [6,1,8,3,7,4,5,2]=>[2,5,4,7,3,8,1,6]=>0000000 [5,4,2,6,8,3,1,7]=>[7,1,3,8,6,2,4,5]=>0000000 [5,4,2,7,1,8,6,3]=>[3,6,8,1,7,2,4,5]=>0000000 [5,2,7,6,8,1,4,3]=>[3,4,1,8,6,7,2,5]=>0000000 [5,7,3,6,2,1,4,8]=>[8,4,1,2,6,3,7,5]=>0000000 [6,4,3,5,1,7,2,8]=>[8,2,7,1,5,3,4,6]=>0000000 [8,2,4,5,1,3,6,7]=>[7,6,3,1,5,4,2,8]=>0000001 [6,4,3,5,1,8,7,2]=>[2,7,8,1,5,3,4,6]=>0000000 [6,3,5,8,1,2,7,4]=>[4,7,2,1,8,5,3,6]=>0000000 [2,3,8,5,4,6,1,7]=>[7,1,6,4,5,8,3,2]=>0000000 [8,3,5,7,1,4,6,2]=>[2,6,4,1,7,5,3,8]=>0000001 [8,4,6,5,1,3,2,7]=>[7,2,3,1,5,6,4,8]=>0000001 [7,3,5,6,1,4,2,8]=>[8,2,4,1,6,5,3,7]=>0000000 [8,7,5,6,3,1,4,2]=>[2,4,1,3,6,5,7,8]=>0001011 [2,7,3,4,6,1,8,5]=>[5,8,1,6,4,3,7,2]=>0000000 [7,3,5,4,1,6,2,8]=>[8,2,6,1,4,5,3,7]=>0000000 [7,3,5,4,1,8,2,6]=>[6,2,8,1,4,5,3,7]=>0000000 [2,3,8,4,6,5,1,7]=>[7,1,5,6,4,8,3,2]=>0000000 [7,1,3,5,4,2,6,8]=>[8,6,2,4,5,3,1,7]=>0000000 [5,2,4,8,7,6,1,3]=>[3,1,6,7,8,4,2,5]=>0000000 [6,5,1,8,2,3,7,4]=>[4,7,3,2,8,1,5,6]=>0000000 [5,6,3,1,2,8,4,7]=>[7,4,8,2,1,3,6,5]=>0000000 [1,8,2,6,7,3,4,5]=>[5,4,3,7,6,2,8,1]=>0000000 [5,1,3,4,8,6,2,7]=>[7,2,6,8,4,3,1,5]=>0000000 [6,8,2,7,4,1,5,3]=>[3,5,1,4,7,2,8,6]=>0000000 [8,6,4,5,1,2,7,3]=>[3,7,2,1,5,4,6,8]=>0000001 [5,8,4,2,6,1,7,3]=>[3,7,1,6,2,4,8,5]=>0000000 [2,7,6,3,5,8,1,4]=>[4,1,8,5,3,6,7,2]=>0000000 [6,5,8,3,7,1,4,2]=>[2,4,1,7,3,8,5,6]=>0000000 [4,8,6,5,3,7,1,2]=>[2,1,7,3,5,6,8,4]=>0100000 [3,2,4,7,1,5,8,6]=>[6,8,5,1,7,4,2,3]=>0000000 [2,7,5,6,1,8,3,4]=>[4,3,8,1,6,5,7,2]=>0000000 [4,2,3,5,7,8,6,1]=>[1,6,8,7,5,3,2,4]=>1000000 [1,6,2,8,5,7,4,3]=>[3,4,7,5,8,2,6,1]=>0000000 [8,1,6,3,7,5,2,4]=>[4,2,5,7,3,6,1,8]=>0000001 [8,1,6,3,7,4,5,2]=>[2,5,4,7,3,6,1,8]=>0000001 [6,8,4,5,7,3,1,2]=>[2,1,3,7,5,4,8,6]=>0110000 [7,5,4,1,2,8,6,3]=>[3,6,8,2,1,4,5,7]=>0000000 [5,4,8,3,6,7,2,1]=>[1,2,7,6,3,8,4,5]=>1100000 [6,4,5,8,3,7,1,2]=>[2,1,7,3,8,5,4,6]=>0100000 [7,5,1,3,4,8,2,6]=>[6,2,8,4,3,1,5,7]=>0000000 [5,8,4,6,3,7,2,1]=>[1,2,7,3,6,4,8,5]=>1100000 [5,6,8,4,3,7,2,1]=>[1,2,7,3,4,8,6,5]=>1100000 [8,5,2,6,3,1,4,7]=>[7,4,1,3,6,2,5,8]=>0000001 [5,8,1,4,3,7,6,2]=>[2,6,7,3,4,1,8,5]=>0000000 [7,6,2,4,1,8,3,5]=>[5,3,8,1,4,2,6,7]=>0000000 [4,7,8,1,6,2,5,3]=>[3,5,2,6,1,8,7,4]=>0000000 [6,7,3,4,8,1,5,2]=>[2,5,1,8,4,3,7,6]=>0000000 [7,1,8,5,2,6,3,4]=>[4,3,6,2,5,8,1,7]=>0000000 [1,2,6,7,3,5,4,8]=>[8,4,5,3,7,6,2,1]=>0000000 [7,6,5,3,1,2,8,4]=>[4,8,2,1,3,5,6,7]=>0000000 [8,1,2,4,6,3,5,7]=>[7,5,3,6,4,2,1,8]=>0000001 [1,7,2,5,6,8,3,4]=>[4,3,8,6,5,2,7,1]=>0000000 [7,5,1,8,3,2,4,6]=>[6,4,2,3,8,1,5,7]=>0000000 [4,5,2,1,8,3,6,7]=>[7,6,3,8,1,2,5,4]=>0000000 [5,6,1,8,3,2,4,7]=>[7,4,2,3,8,1,6,5]=>0000000 [5,4,1,7,3,6,2,8]=>[8,2,6,3,7,1,4,5]=>0000000 [2,6,4,3,1,7,5,8]=>[8,5,7,1,3,4,6,2]=>0000000 [7,4,2,1,6,5,8,3]=>[3,8,5,6,1,2,4,7]=>0000000 [3,6,2,8,4,1,7,5]=>[5,7,1,4,8,2,6,3]=>0000000 [8,5,2,1,7,3,6,4]=>[4,6,3,7,1,2,5,8]=>0000001 [4,5,3,8,7,2,1,6]=>[6,1,2,7,8,3,5,4]=>0000000 [5,4,3,6,1,8,2,7]=>[7,2,8,1,6,3,4,5]=>0000000 [3,5,4,1,7,2,8,6]=>[6,8,2,7,1,4,5,3]=>0000000 [5,7,3,4,2,8,6,1]=>[1,6,8,2,4,3,7,5]=>1000000 [5,8,3,4,2,7,6,1]=>[1,6,7,2,4,3,8,5]=>1000000 [7,6,4,2,3,8,5,1]=>[1,5,8,3,2,4,6,7]=>1000000 [7,3,8,4,2,6,5,1]=>[1,5,6,2,4,8,3,7]=>1000000 [3,5,6,8,2,4,7,1]=>[1,7,4,2,8,6,5,3]=>1000000 [8,4,7,3,2,5,6,1]=>[1,6,5,2,3,7,4,8]=>1000001 [3,7,4,2,6,8,5,1]=>[1,5,8,6,2,4,7,3]=>1000000 [2,7,4,6,3,1,5,8]=>[8,5,1,3,6,4,7,2]=>0000000 [3,7,4,2,5,1,6,8]=>[8,6,1,5,2,4,7,3]=>0000000 [4,3,6,2,8,5,1,7]=>[7,1,5,8,2,6,3,4]=>0000000 [5,3,6,7,2,1,4,8]=>[8,4,1,2,7,6,3,5]=>0000000 [4,3,5,7,8,2,1,6]=>[6,1,2,8,7,5,3,4]=>0000000 [3,6,8,2,5,4,1,7]=>[7,1,4,5,2,8,6,3]=>0000000 [4,5,3,7,8,2,1,6]=>[6,1,2,8,7,3,5,4]=>0000000 [8,3,6,7,5,1,2,4]=>[4,2,1,5,7,6,3,8]=>0000001 [7,2,8,4,6,5,3,1]=>[1,3,5,6,4,8,2,7]=>1000000 [7,5,8,1,4,6,2,3]=>[3,2,6,4,1,8,5,7]=>0000000 [7,3,8,4,6,5,1,2]=>[2,1,5,6,4,8,3,7]=>0100000 [5,6,1,2,4,8,7,3]=>[3,7,8,4,2,1,6,5]=>0000000 [8,1,5,3,7,6,2,4]=>[4,2,6,7,3,5,1,8]=>0000001 [8,1,5,4,2,6,7,3]=>[3,7,6,2,4,5,1,8]=>0000001 [7,4,1,6,8,5,3,2]=>[2,3,5,8,6,1,4,7]=>0000000 [7,5,1,6,8,3,2,4]=>[4,2,3,8,6,1,5,7]=>0000000 [7,5,3,8,2,1,4,6]=>[6,4,1,2,8,3,5,7]=>0000000 [6,4,8,7,3,5,1,2]=>[2,1,5,3,7,8,4,6]=>0100000 [6,5,3,7,2,8,1,4]=>[4,1,8,2,7,3,5,6]=>0000000 [6,4,8,3,5,7,2,1]=>[1,2,7,5,3,8,4,6]=>1100000 [6,5,8,4,1,7,2,3]=>[3,2,7,1,4,8,5,6]=>0000000 [6,4,8,7,3,2,5,1]=>[1,5,2,3,7,8,4,6]=>1000000 [5,4,8,6,7,3,2,1]=>[1,2,3,7,6,8,4,5]=>1110000 [8,3,5,7,4,6,2,1]=>[1,2,6,4,7,5,3,8]=>1100001 [6,2,8,7,3,5,1,4]=>[4,1,5,3,7,8,2,6]=>0000000 [7,4,1,8,2,6,5,3]=>[3,5,6,2,8,1,4,7]=>0000000 [3,8,6,4,1,2,5,7]=>[7,5,2,1,4,6,8,3]=>0000000 [8,2,3,5,1,7,4,6]=>[6,4,7,1,5,3,2,8]=>0000001 [5,2,1,4,8,7,3,6]=>[6,3,7,8,4,1,2,5]=>0000000 [4,7,3,6,5,1,2,8]=>[8,2,1,5,6,3,7,4]=>0000000 [1,7,2,3,8,5,6,4]=>[4,6,5,8,3,2,7,1]=>0000000 [1,6,5,2,8,7,4,3]=>[3,4,7,8,2,5,6,1]=>0000000 [5,2,4,6,7,3,1,8]=>[8,1,3,7,6,4,2,5]=>0000000 [1,6,3,8,4,2,5,7]=>[7,5,2,4,8,3,6,1]=>0000000 [1,4,3,7,6,2,5,8]=>[8,5,2,6,7,3,4,1]=>0000000 [4,1,5,7,3,8,2,6]=>[6,2,8,3,7,5,1,4]=>0000000 [1,5,2,6,8,7,4,3]=>[3,4,7,8,6,2,5,1]=>0000000 [1,3,7,6,4,8,2,5]=>[5,2,8,4,6,7,3,1]=>0000000 [7,4,2,3,1,6,5,8]=>[8,5,6,1,3,2,4,7]=>0000000 [7,4,2,1,6,3,5,8]=>[8,5,3,6,1,2,4,7]=>0000000 [6,3,4,5,1,7,2,8]=>[8,2,7,1,5,4,3,6]=>0000000 [5,4,2,7,1,6,3,8]=>[8,3,6,1,7,2,4,5]=>0000000 [5,4,3,1,7,6,2,8]=>[8,2,6,7,1,3,4,5]=>0000000 [4,3,2,8,6,1,5,7]=>[7,5,1,6,8,2,3,4]=>0000000 [4,3,2,8,1,7,5,6]=>[6,5,7,1,8,2,3,4]=>0000000 [6,5,2,3,1,4,8,7]=>[7,8,4,1,3,2,5,6]=>0000000 [6,5,2,1,4,7,3,8]=>[8,3,7,4,1,2,5,6]=>0000000 [4,6,2,3,7,1,8,5]=>[5,8,1,7,3,2,6,4]=>0000000 [5,6,2,3,7,1,4,8]=>[8,4,1,7,3,2,6,5]=>0000000 [5,6,2,1,7,4,3,8]=>[8,3,4,7,1,2,6,5]=>0000000 [5,6,3,1,4,7,2,8]=>[8,2,7,4,1,3,6,5]=>0000000 [4,7,1,5,8,6,3,2]=>[2,3,6,8,5,1,7,4]=>0000000 [6,1,7,8,3,5,4,2]=>[2,4,5,3,8,7,1,6]=>0000000 [2,5,4,8,7,6,1,3]=>[3,1,6,7,8,4,5,2]=>0000000 [8,7,6,2,1,4,5,3]=>[3,5,4,1,2,6,7,8]=>0000111 [6,1,7,8,3,2,5,4]=>[4,5,2,3,8,7,1,6]=>0000000 [5,3,4,6,1,8,2,7]=>[7,2,8,1,6,4,3,5]=>0000000 [8,5,4,2,1,3,7,6]=>[6,7,3,1,2,4,5,8]=>0000001 [3,2,8,7,4,6,1,5]=>[5,1,6,4,7,8,2,3]=>0000000 [3,2,8,7,5,6,1,4]=>[4,1,6,5,7,8,2,3]=>0000000 [5,8,1,4,2,7,6,3]=>[3,6,7,2,4,1,8,5]=>0000000 [5,4,7,6,1,3,2,8]=>[8,2,3,1,6,7,4,5]=>0000000 [8,4,2,7,6,5,3,1]=>[1,3,5,6,7,2,4,8]=>1000001 [4,7,1,6,8,5,2,3]=>[3,2,5,8,6,1,7,4]=>0000000 [1,4,7,8,5,2,6,3]=>[3,6,2,5,8,7,4,1]=>0000000 [8,7,1,3,5,2,6,4]=>[4,6,2,5,3,1,7,8]=>0000011 [4,7,8,1,5,6,3,2]=>[2,3,6,5,1,8,7,4]=>0000000 [3,5,7,8,2,6,4,1]=>[1,4,6,2,8,7,5,3]=>1000000 [3,5,7,8,6,2,4,1]=>[1,4,2,6,8,7,5,3]=>1000000 [3,5,2,7,8,6,4,1]=>[1,4,6,8,7,2,5,3]=>1000000 [2,3,6,4,8,5,7,1]=>[1,7,5,8,4,6,3,2]=>1000000 [2,3,6,4,8,7,5,1]=>[1,5,7,8,4,6,3,2]=>1000000 [5,2,7,4,8,1,3,6]=>[6,3,1,8,4,7,2,5]=>0000000 [2,7,5,3,1,4,6,8]=>[8,6,4,1,3,5,7,2]=>0000000 [1,7,5,4,2,6,8,3]=>[3,8,6,2,4,5,7,1]=>0000000 [7,4,2,1,5,3,8,6]=>[6,8,3,5,1,2,4,7]=>0000000 [6,4,5,1,3,7,2,8]=>[8,2,7,3,1,5,4,6]=>0000000 [5,6,1,3,8,2,7,4]=>[4,7,2,8,3,1,6,5]=>0000000 [8,4,5,1,3,7,2,6]=>[6,2,7,3,1,5,4,8]=>0000001 [8,7,2,3,5,6,4,1]=>[1,4,6,5,3,2,7,8]=>1000011 [5,1,7,4,6,2,3,8]=>[8,3,2,6,4,7,1,5]=>0000000 [2,6,7,4,3,5,8,1]=>[1,8,5,3,4,7,6,2]=>1000000 [6,1,4,5,8,7,3,2]=>[2,3,7,8,5,4,1,6]=>0000000 [3,7,4,6,5,1,2,8]=>[8,2,1,5,6,4,7,3]=>0000000 [3,8,7,1,4,6,2,5]=>[5,2,6,4,1,7,8,3]=>0000000 [3,8,7,1,2,6,5,4]=>[4,5,6,2,1,7,8,3]=>0000000 [3,5,8,7,6,2,4,1]=>[1,4,2,6,7,8,5,3]=>1000000 [8,1,2,4,6,5,7,3]=>[3,7,5,6,4,2,1,8]=>0000001 [8,3,5,6,4,2,7,1]=>[1,7,2,4,6,5,3,8]=>1000001 [8,4,2,6,5,7,1,3]=>[3,1,7,5,6,2,4,8]=>0000001 [4,7,3,6,8,5,2,1]=>[1,2,5,8,6,3,7,4]=>1100000 [4,6,3,8,7,5,2,1]=>[1,2,5,7,8,3,6,4]=>1100000 [5,1,3,7,2,8,4,6]=>[6,4,8,2,7,3,1,5]=>0000000 [5,2,4,6,3,1,8,7]=>[7,8,1,3,6,4,2,5]=>0000000 [1,5,8,3,2,6,4,7]=>[7,4,6,2,3,8,5,1]=>0000000 [3,4,7,5,8,1,6,2]=>[2,6,1,8,5,7,4,3]=>0000000 [7,1,2,8,4,6,3,5]=>[5,3,6,4,8,2,1,7]=>0000000 [6,2,7,4,8,5,3,1]=>[1,3,5,8,4,7,2,6]=>1000000 [8,1,2,4,3,6,7,5]=>[5,7,6,3,4,2,1,8]=>0000001 [7,1,2,8,4,6,5,3]=>[3,5,6,4,8,2,1,7]=>0000000 [8,3,7,6,4,1,5,2]=>[2,5,1,4,6,7,3,8]=>0000001 [3,5,4,6,1,2,7,8]=>[8,7,2,1,6,4,5,3]=>0000000 [1,5,3,8,6,4,7,2]=>[2,7,4,6,8,3,5,1]=>0000000 [3,5,1,8,4,2,6,7]=>[7,6,2,4,8,1,5,3]=>0000000 [5,3,4,6,2,8,7,1]=>[1,7,8,2,6,4,3,5]=>1000000 [6,8,4,3,5,2,7,1]=>[1,7,2,5,3,4,8,6]=>1000000 [4,7,5,8,3,2,6,1]=>[1,6,2,3,8,5,7,4]=>1000000 [6,2,3,8,1,4,7,5]=>[5,7,4,1,8,3,2,6]=>0000000 [5,8,4,3,7,2,1,6]=>[6,1,2,7,3,4,8,5]=>0000000 [6,7,2,3,8,4,1,5]=>[5,1,4,8,3,2,7,6]=>0000000 [6,2,4,5,7,1,3,8]=>[8,3,1,7,5,4,2,6]=>0000000 [6,1,4,7,5,2,3,8]=>[8,3,2,5,7,4,1,6]=>0000000 [1,7,8,5,6,2,3,4]=>[4,3,2,6,5,8,7,1]=>0000000 [5,1,8,4,2,6,7,3]=>[3,7,6,2,4,8,1,5]=>0000000 [1,8,4,6,2,3,5,7]=>[7,5,3,2,6,4,8,1]=>0000000 [1,8,4,6,2,3,7,5]=>[5,7,3,2,6,4,8,1]=>0000000 [1,8,3,6,2,4,7,5]=>[5,7,4,2,6,3,8,1]=>0000000 [1,6,4,8,2,3,7,5]=>[5,7,3,2,8,4,6,1]=>0000000 [1,7,2,8,4,3,6,5]=>[5,6,3,4,8,2,7,1]=>0000000 [1,5,4,2,8,7,3,6]=>[6,3,7,8,2,4,5,1]=>0000000 [1,7,3,8,6,2,4,5]=>[5,4,2,6,8,3,7,1]=>0000000 [1,7,4,6,8,2,3,5]=>[5,3,2,8,6,4,7,1]=>0000000 [1,7,3,6,8,2,4,5]=>[5,4,2,8,6,3,7,1]=>0000000 [1,7,3,4,8,2,6,5]=>[5,6,2,8,4,3,7,1]=>0000000 [7,4,3,5,2,8,6,1]=>[1,6,8,2,5,3,4,7]=>1000000 [5,4,8,6,3,2,7,1]=>[1,7,2,3,6,8,4,5]=>1000000 [7,6,4,8,5,3,2,1]=>[1,2,3,5,8,4,6,7]=>1110000 [8,6,3,2,1,5,4,7]=>[7,4,5,1,2,3,6,8]=>0000001 [5,6,4,8,7,3,1,2]=>[2,1,3,7,8,4,6,5]=>0110000 [5,7,8,4,6,3,1,2]=>[2,1,3,6,4,8,7,5]=>0110000 [1,5,2,7,6,3,4,8]=>[8,4,3,6,7,2,5,1]=>0000000 [2,3,6,7,4,1,5,8]=>[8,5,1,4,7,6,3,2]=>0000000 [6,2,1,3,7,4,5,8]=>[8,5,4,7,3,1,2,6]=>0000000 [2,4,3,8,1,7,6,5]=>[5,6,7,1,8,3,4,2]=>0000000 [3,2,5,8,1,7,4,6]=>[6,4,7,1,8,5,2,3]=>0000000 [8,2,3,1,6,4,5,7]=>[7,5,4,6,1,3,2,8]=>0000001 [5,4,2,1,3,6,8,7]=>[7,8,6,3,1,2,4,5]=>0000000 [6,2,5,3,8,7,4,1]=>[1,4,7,8,3,5,2,6]=>1000000 [4,5,7,3,6,2,1,8]=>[8,1,2,6,3,7,5,4]=>0000000 [2,7,1,4,8,6,5,3]=>[3,5,6,8,4,1,7,2]=>0000000 [7,3,6,8,4,1,2,5]=>[5,2,1,4,8,6,3,7]=>0000000 [8,4,6,1,2,5,3,7]=>[7,3,5,2,1,6,4,8]=>0000001 [5,1,4,2,3,7,6,8]=>[8,6,7,3,2,4,1,5]=>0000000 [3,8,5,2,1,4,6,7]=>[7,6,4,1,2,5,8,3]=>0000000 [6,1,3,7,5,4,2,8]=>[8,2,4,5,7,3,1,6]=>0000000 [5,4,1,2,7,6,8,3]=>[3,8,6,7,2,1,4,5]=>0000000 [3,7,6,1,4,2,8,5]=>[5,8,2,4,1,6,7,3]=>0000000 [3,7,6,4,1,2,8,5]=>[5,8,2,1,4,6,7,3]=>0000000 [1,7,2,6,4,8,3,5]=>[5,3,8,4,6,2,7,1]=>0000000 [1,7,4,8,2,3,6,5]=>[5,6,3,2,8,4,7,1]=>0000000 [2,5,4,6,1,8,3,7]=>[7,3,8,1,6,4,5,2]=>0000000 [3,6,1,2,8,5,7,4]=>[4,7,5,8,2,1,6,3]=>0000000 [4,7,8,3,5,2,6,1]=>[1,6,2,5,3,8,7,4]=>1000000 [6,5,7,3,4,1,8,2]=>[2,8,1,4,3,7,5,6]=>0000000 [5,3,4,6,8,7,2,1]=>[1,2,7,8,6,4,3,5]=>1100000 [5,4,1,3,8,7,2,6]=>[6,2,7,8,3,1,4,5]=>0000000 [6,3,5,1,4,7,2,8]=>[8,2,7,4,1,5,3,6]=>0000000 [3,7,5,1,4,2,6,8]=>[8,6,2,4,1,5,7,3]=>0000000 [2,1,6,3,5,4,7,8]=>[8,7,4,5,3,6,1,2]=>0000000 [5,1,4,6,2,7,3,8]=>[8,3,7,2,6,4,1,5]=>0000000 [3,4,1,6,8,5,2,7]=>[7,2,5,8,6,1,4,3]=>0000000 [5,8,6,3,2,4,1,7]=>[7,1,4,2,3,6,8,5]=>0000000 [4,7,8,5,2,6,3,1]=>[1,3,6,2,5,8,7,4]=>1000000 [4,1,3,8,5,7,2,6]=>[6,2,7,5,8,3,1,4]=>0000000 [1,8,2,7,3,5,6,4]=>[4,6,5,3,7,2,8,1]=>0000000 [2,7,8,1,3,5,6,4]=>[4,6,5,3,1,8,7,2]=>0000000 [7,1,6,8,2,3,5,4]=>[4,5,3,2,8,6,1,7]=>0000000 [5,4,2,1,7,3,8,6]=>[6,8,3,7,1,2,4,5]=>0000000 [5,4,3,1,2,6,8,7]=>[7,8,6,2,1,3,4,5]=>0000000 [5,4,1,3,8,2,7,6]=>[6,7,2,8,3,1,4,5]=>0000000 [1,4,7,8,5,3,6,2]=>[2,6,3,5,8,7,4,1]=>0000000 [5,2,6,1,3,8,7,4]=>[4,7,8,3,1,6,2,5]=>0000000 [8,6,2,1,7,3,5,4]=>[4,5,3,7,1,2,6,8]=>0000001 [7,4,1,3,6,2,8,5]=>[5,8,2,6,3,1,4,7]=>0000000 [6,8,7,5,2,4,3,1]=>[1,3,4,2,5,7,8,6]=>1001100 [6,1,3,2,5,8,7,4]=>[4,7,8,5,2,3,1,6]=>0000000 [7,2,5,1,8,6,3,4]=>[4,3,6,8,1,5,2,7]=>0000000 [3,8,5,7,4,1,6,2]=>[2,6,1,4,7,5,8,3]=>0000000 [7,5,3,6,8,2,4,1]=>[1,4,2,8,6,3,5,7]=>1000000 [5,3,4,7,2,6,8,1]=>[1,8,6,2,7,4,3,5]=>1000000 [2,6,3,8,5,4,7,1]=>[1,7,4,5,8,3,6,2]=>1000000 [5,7,4,2,8,6,3,1]=>[1,3,6,8,2,4,7,5]=>1000000 [5,8,4,2,7,6,3,1]=>[1,3,6,7,2,4,8,5]=>1000000 [6,3,4,8,5,2,7,1]=>[1,7,2,5,8,4,3,6]=>1000000 [5,4,7,2,8,6,3,1]=>[1,3,6,8,2,7,4,5]=>1000000 [5,8,6,2,4,3,7,1]=>[1,7,3,4,2,6,8,5]=>1000000 [6,8,4,2,3,1,7,5]=>[5,7,1,3,2,4,8,6]=>0000000 [5,2,7,4,6,3,8,1]=>[1,8,3,6,4,7,2,5]=>1000000 [5,4,6,8,3,2,7,1]=>[1,7,2,3,8,6,4,5]=>1000000 [1,7,2,8,6,5,3,4]=>[4,3,5,6,8,2,7,1]=>0000000 [1,5,6,8,7,2,4,3]=>[3,4,2,7,8,6,5,1]=>0000000 [3,2,6,8,1,7,5,4]=>[4,5,7,1,8,6,2,3]=>0000000 [4,2,8,7,5,1,6,3]=>[3,6,1,5,7,8,2,4]=>0000000 [5,1,8,2,3,7,6,4]=>[4,6,7,3,2,8,1,5]=>0000000 [6,3,1,5,8,7,4,2]=>[2,4,7,8,5,1,3,6]=>0000000 [1,4,3,8,5,6,2,7]=>[7,2,6,5,8,3,4,1]=>0000000 [2,5,6,3,4,7,1,8]=>[8,1,7,4,3,6,5,2]=>0000000 [4,3,1,2,6,7,5,8]=>[8,5,7,6,2,1,3,4]=>0000000 [5,8,3,4,7,6,2,1]=>[1,2,6,7,4,3,8,5]=>1100000 [4,6,8,1,2,7,3,5]=>[5,3,7,2,1,8,6,4]=>0000000 [2,6,3,8,5,7,1,4]=>[4,1,7,5,8,3,6,2]=>0000000 [6,7,2,4,3,1,8,5]=>[5,8,1,3,4,2,7,6]=>0000000 [7,4,2,5,8,6,1,3]=>[3,1,6,8,5,2,4,7]=>0000000 [4,6,2,5,3,7,1,8]=>[8,1,7,3,5,2,6,4]=>0000000 [3,1,4,7,8,6,2,5]=>[5,2,6,8,7,4,1,3]=>0000000 [8,2,7,4,3,1,6,5]=>[5,6,1,3,4,7,2,8]=>0000001 [8,3,1,4,5,2,7,6]=>[6,7,2,5,4,1,3,8]=>0000001 [3,8,1,4,7,6,2,5]=>[5,2,6,7,4,1,8,3]=>0000000 [2,8,1,4,6,5,3,7]=>[7,3,5,6,4,1,8,2]=>0000000 [2,8,1,4,6,7,5,3]=>[3,5,7,6,4,1,8,2]=>0000000 [4,8,6,1,5,2,3,7]=>[7,3,2,5,1,6,8,4]=>0000000 [6,4,1,5,8,2,3,7]=>[7,3,2,8,5,1,4,6]=>0000000 [3,2,5,8,1,4,7,6]=>[6,7,4,1,8,5,2,3]=>0000000 [2,4,5,8,3,1,7,6]=>[6,7,1,3,8,5,4,2]=>0000000 [2,4,6,7,3,1,5,8]=>[8,5,1,3,7,6,4,2]=>0000000 [8,6,7,1,2,4,5,3]=>[3,5,4,2,1,7,6,8]=>0000101 [6,7,1,2,3,5,4,8]=>[8,4,5,3,2,1,7,6]=>0000000 [1,3,7,6,8,4,5,2]=>[2,5,4,8,6,7,3,1]=>0000000 [5,7,3,4,2,6,8,1]=>[1,8,6,2,4,3,7,5]=>1000000 [1,3,7,5,8,4,6,2]=>[2,6,4,8,5,7,3,1]=>0000000 [4,3,1,6,7,5,8,2]=>[2,8,5,7,6,1,3,4]=>0000000 [3,4,2,6,1,8,5,7]=>[7,5,8,1,6,2,4,3]=>0000000 [6,7,2,3,5,4,1,8]=>[8,1,4,5,3,2,7,6]=>0000000 [2,3,5,8,6,4,1,7]=>[7,1,4,6,8,5,3,2]=>0000000 [5,4,1,2,7,6,3,8]=>[8,3,6,7,2,1,4,5]=>0000000 [5,3,7,1,4,6,8,2]=>[2,8,6,4,1,7,3,5]=>0000000 [6,1,3,2,5,4,7,8]=>[8,7,4,5,2,3,1,6]=>0000000 [5,2,1,6,4,7,8,3]=>[3,8,7,4,6,1,2,5]=>0000000 [3,5,2,1,8,7,4,6]=>[6,4,7,8,1,2,5,3]=>0000000 [7,3,2,1,5,8,6,4]=>[4,6,8,5,1,2,3,7]=>0000000 [7,3,2,1,5,6,8,4]=>[4,8,6,5,1,2,3,7]=>0000000 [4,7,1,5,6,2,3,8]=>[8,3,2,6,5,1,7,4]=>0000000 [4,8,3,1,6,5,2,7]=>[7,2,5,6,1,3,8,4]=>0000000 [1,4,6,3,5,7,2,8]=>[8,2,7,5,3,6,4,1]=>0000000 [6,8,5,3,2,4,7,1]=>[1,7,4,2,3,5,8,6]=>1000000 [2,4,5,8,6,3,1,7]=>[7,1,3,6,8,5,4,2]=>0000000 [8,4,2,7,3,5,1,6]=>[6,1,5,3,7,2,4,8]=>0000001 [6,8,5,3,4,2,7,1]=>[1,7,2,4,3,5,8,6]=>1000000 [7,2,6,5,8,4,3,1]=>[1,3,4,8,5,6,2,7]=>1000000 [7,2,1,6,5,8,4,3]=>[3,4,8,5,6,1,2,7]=>0000000 [1,7,3,4,5,8,6,2]=>[2,6,8,5,4,3,7,1]=>0000000 [5,7,3,2,1,8,4,6]=>[6,4,8,1,2,3,7,5]=>0000000 [4,3,7,1,8,2,6,5]=>[5,6,2,8,1,7,3,4]=>0000000 [7,2,3,8,4,5,1,6]=>[6,1,5,4,8,3,2,7]=>0000000 [6,2,8,7,4,3,1,5]=>[5,1,3,4,7,8,2,6]=>0000000 [6,2,8,7,3,1,5,4]=>[4,5,1,3,7,8,2,6]=>0000000 [2,5,6,8,1,3,7,4]=>[4,7,3,1,8,6,5,2]=>0000000 [2,5,3,6,4,8,1,7]=>[7,1,8,4,6,3,5,2]=>0000000 [5,6,4,1,8,2,3,7]=>[7,3,2,8,1,4,6,5]=>0000000 [6,5,8,3,2,7,4,1]=>[1,4,7,2,3,8,5,6]=>1000000 [1,5,4,6,8,3,2,7]=>[7,2,3,8,6,4,5,1]=>0000000 [8,6,2,3,5,4,7,1]=>[1,7,4,5,3,2,6,8]=>1000001 [8,2,5,3,7,4,6,1]=>[1,6,4,7,3,5,2,8]=>1000001 [8,3,2,5,7,4,6,1]=>[1,6,4,7,5,2,3,8]=>1000001 [2,1,7,8,3,5,4,6]=>[6,4,5,3,8,7,1,2]=>0000000 [5,2,4,1,3,6,8,7]=>[7,8,6,3,1,4,2,5]=>0000000 [5,8,4,3,1,2,7,6]=>[6,7,2,1,3,4,8,5]=>0000000 [7,4,3,1,8,5,2,6]=>[6,2,5,8,1,3,4,7]=>0000000 [1,6,4,2,7,8,5,3]=>[3,5,8,7,2,4,6,1]=>0000000 [7,3,6,8,4,2,5,1]=>[1,5,2,4,8,6,3,7]=>1000000 [3,8,7,4,2,5,1,6]=>[6,1,5,2,4,7,8,3]=>0000000 [6,8,7,1,2,4,5,3]=>[3,5,4,2,1,7,8,6]=>0000100 [6,1,2,5,7,3,4,8]=>[8,4,3,7,5,2,1,6]=>0000000 [6,2,3,5,7,1,4,8]=>[8,4,1,7,5,3,2,6]=>0000000 [6,2,5,7,3,1,4,8]=>[8,4,1,3,7,5,2,6]=>0000000 [7,3,6,1,5,2,8,4]=>[4,8,2,5,1,6,3,7]=>0000000 [4,3,2,5,8,6,1,7]=>[7,1,6,8,5,2,3,4]=>0000000 [2,5,6,7,3,1,4,8]=>[8,4,1,3,7,6,5,2]=>0000000 [8,1,2,6,7,4,3,5]=>[5,3,4,7,6,2,1,8]=>0000001 [8,2,4,6,3,7,5,1]=>[1,5,7,3,6,4,2,8]=>1000001 [7,2,3,6,1,4,5,8]=>[8,5,4,1,6,3,2,7]=>0000000 [2,3,7,5,1,4,6,8]=>[8,6,4,1,5,7,3,2]=>0000000 [3,4,1,5,8,6,2,7]=>[7,2,6,8,5,1,4,3]=>0000000 [2,3,7,1,4,6,5,8]=>[8,5,6,4,1,7,3,2]=>0000000 [4,7,8,3,6,1,2,5]=>[5,2,1,6,3,8,7,4]=>0000000 [5,6,8,4,2,3,7,1]=>[1,7,3,2,4,8,6,5]=>1000000 [2,3,8,7,6,1,5,4]=>[4,5,1,6,7,8,3,2]=>0000000 [8,5,7,4,2,3,6,1]=>[1,6,3,2,4,7,5,8]=>1000001 [1,7,5,8,6,2,4,3]=>[3,4,2,6,8,5,7,1]=>0000000 [4,1,2,8,6,7,5,3]=>[3,5,7,6,8,2,1,4]=>0000000 [4,7,3,6,8,5,1,2]=>[2,1,5,8,6,3,7,4]=>0100000 [6,2,3,5,7,8,4,1]=>[1,4,8,7,5,3,2,6]=>1000000 [8,7,1,3,5,2,4,6]=>[6,4,2,5,3,1,7,8]=>0000011 [3,5,1,6,8,7,4,2]=>[2,4,7,8,6,1,5,3]=>0000000 [3,5,2,6,8,7,4,1]=>[1,4,7,8,6,2,5,3]=>1000000 [3,6,2,8,5,7,4,1]=>[1,4,7,5,8,2,6,3]=>1000000 [1,3,8,7,2,6,5,4]=>[4,5,6,2,7,8,3,1]=>0000000 [2,8,1,4,7,3,6,5]=>[5,6,3,7,4,1,8,2]=>0000000 [2,6,8,7,5,3,4,1]=>[1,4,3,5,7,8,6,2]=>1000000 [4,6,3,1,8,5,2,7]=>[7,2,5,8,1,3,6,4]=>0000000 [7,2,4,6,3,1,5,8]=>[8,5,1,3,6,4,2,7]=>0000000 [6,2,1,5,4,8,3,7]=>[7,3,8,4,5,1,2,6]=>0000000 [8,5,6,1,3,7,2,4]=>[4,2,7,3,1,6,5,8]=>0000001 [8,2,1,4,3,7,5,6]=>[6,5,7,3,4,1,2,8]=>0000001 [2,7,3,1,5,8,6,4]=>[4,6,8,5,1,3,7,2]=>0000000 [6,5,4,1,3,7,2,8]=>[8,2,7,3,1,4,5,6]=>0000000 [6,2,4,1,5,7,3,8]=>[8,3,7,5,1,4,2,6]=>0000000 [5,8,7,3,1,6,2,4]=>[4,2,6,1,3,7,8,5]=>0000000 [5,7,8,2,3,6,4,1]=>[1,4,6,3,2,8,7,5]=>1000000 [2,7,5,3,4,6,8,1]=>[1,8,6,4,3,5,7,2]=>1000000 [5,8,3,6,7,4,2,1]=>[1,2,4,7,6,3,8,5]=>1100000 [7,6,3,2,1,5,8,4]=>[4,8,5,1,2,3,6,7]=>0000000 [8,5,7,1,3,4,2,6]=>[6,2,4,3,1,7,5,8]=>0000001 [8,2,6,1,7,5,3,4]=>[4,3,5,7,1,6,2,8]=>0000001 [6,1,4,5,7,3,2,8]=>[8,2,3,7,5,4,1,6]=>0000000 [7,2,3,5,6,1,4,8]=>[8,4,1,6,5,3,2,7]=>0000000 [7,2,4,5,3,1,6,8]=>[8,6,1,3,5,4,2,7]=>0000000 [7,1,4,5,6,2,3,8]=>[8,3,2,6,5,4,1,7]=>0000000 [1,4,6,7,5,8,2,3]=>[3,2,8,5,7,6,4,1]=>0000000 [5,2,6,4,3,7,1,8]=>[8,1,7,3,4,6,2,5]=>0000000 [1,5,6,7,4,2,8,3]=>[3,8,2,4,7,6,5,1]=>0000000 [1,3,6,7,8,4,5,2]=>[2,5,4,8,7,6,3,1]=>0000000 [3,4,6,7,2,5,1,8]=>[8,1,5,2,7,6,4,3]=>0000000 [3,6,7,1,4,5,2,8]=>[8,2,5,4,1,7,6,3]=>0000000 [7,2,5,8,4,6,3,1]=>[1,3,6,4,8,5,2,7]=>1000000 [5,6,8,4,7,1,3,2]=>[2,3,1,7,4,8,6,5]=>0010000 [4,7,8,5,1,6,2,3]=>[3,2,6,1,5,8,7,4]=>0000000 [5,3,1,4,8,7,6,2]=>[2,6,7,8,4,1,3,5]=>0000000 [4,5,7,3,6,8,1,2]=>[2,1,8,6,3,7,5,4]=>0100000 [8,6,7,3,1,2,5,4]=>[4,5,2,1,3,7,6,8]=>0000101 [1,8,2,6,4,7,3,5]=>[5,3,7,4,6,2,8,1]=>0000000 [8,1,2,4,7,3,6,5]=>[5,6,3,7,4,2,1,8]=>0000001 [8,4,6,3,2,5,7,1]=>[1,7,5,2,3,6,4,8]=>1000001 [8,4,5,7,6,3,1,2]=>[2,1,3,6,7,5,4,8]=>0110001 [8,4,6,5,2,3,1,7]=>[7,1,3,2,5,6,4,8]=>0000001 [3,8,5,6,2,7,4,1]=>[1,4,7,2,6,5,8,3]=>1000000 [5,6,8,7,4,1,3,2]=>[2,3,1,4,7,8,6,5]=>0011000 [3,4,6,7,2,5,8,1]=>[1,8,5,2,7,6,4,3]=>1000000 [3,4,7,8,2,5,1,6]=>[6,1,5,2,8,7,4,3]=>0000000 [8,5,7,3,1,4,6,2]=>[2,6,4,1,3,7,5,8]=>0000001 [8,5,3,7,1,4,6,2]=>[2,6,4,1,7,3,5,8]=>0000001 [6,3,1,8,5,7,4,2]=>[2,4,7,5,8,1,3,6]=>0000000 [5,2,8,7,4,3,6,1]=>[1,6,3,4,7,8,2,5]=>1000000 [7,4,3,8,6,5,2,1]=>[1,2,5,6,8,3,4,7]=>1100000 [7,8,6,3,5,2,4,1]=>[1,4,2,5,3,6,8,7]=>1000110 [5,4,7,2,3,1,6,8]=>[8,6,1,3,2,7,4,5]=>0000000 [3,4,1,6,5,2,8,7]=>[7,8,2,5,6,1,4,3]=>0000000 [6,1,8,2,4,7,5,3]=>[3,5,7,4,2,8,1,6]=>0000000 [7,8,4,3,1,6,2,5]=>[5,2,6,1,3,4,8,7]=>0000010 [2,7,8,6,1,5,3,4]=>[4,3,5,1,6,8,7,2]=>0000000 [2,4,8,7,5,3,6,1]=>[1,6,3,5,7,8,4,2]=>1000000 [8,1,6,2,5,7,3,4]=>[4,3,7,5,2,6,1,8]=>0000001 [3,4,8,5,7,1,2,6]=>[6,2,1,7,5,8,4,3]=>0000000 [5,3,1,8,7,6,2,4]=>[4,2,6,7,8,1,3,5]=>0000000 [3,2,4,6,1,8,5,7]=>[7,5,8,1,6,4,2,3]=>0000000 [7,4,5,1,6,2,3,8]=>[8,3,2,6,1,5,4,7]=>0000000 [6,5,1,4,8,2,7,3]=>[3,7,2,8,4,1,5,6]=>0000000 [4,5,8,7,6,2,1,3]=>[3,1,2,6,7,8,5,4]=>0010000 [4,6,8,7,1,2,5,3]=>[3,5,2,1,7,8,6,4]=>0000000 [8,6,1,5,2,3,7,4]=>[4,7,3,2,5,1,6,8]=>0000001 [1,5,6,4,7,2,3,8]=>[8,3,2,7,4,6,5,1]=>0000000 [7,3,4,8,5,2,6,1]=>[1,6,2,5,8,4,3,7]=>1000000 [6,4,1,3,7,5,2,8]=>[8,2,5,7,3,1,4,6]=>0000000 [8,5,6,3,2,7,4,1]=>[1,4,7,2,3,6,5,8]=>1000001 [4,2,3,8,7,6,1,5]=>[5,1,6,7,8,3,2,4]=>0000000 [1,7,3,5,4,2,6,8]=>[8,6,2,4,5,3,7,1]=>0000000 [5,1,6,8,2,3,7,4]=>[4,7,3,2,8,6,1,5]=>0000000 [5,7,8,1,2,3,6,4]=>[4,6,3,2,1,8,7,5]=>0000000 [3,1,4,5,7,6,2,8]=>[8,2,6,7,5,4,1,3]=>0000000 [7,1,6,8,4,5,2,3]=>[3,2,5,4,8,6,1,7]=>0000000 [6,1,4,5,8,7,2,3]=>[3,2,7,8,5,4,1,6]=>0000000 [7,2,5,6,3,1,4,8]=>[8,4,1,3,6,5,2,7]=>0000000 [4,6,7,5,2,8,1,3]=>[3,1,8,2,5,7,6,4]=>0000000 [4,6,7,5,3,8,1,2]=>[2,1,8,3,5,7,6,4]=>0100000 [2,4,5,7,8,6,1,3]=>[3,1,6,8,7,5,4,2]=>0000000 [4,5,8,6,3,1,2,7]=>[7,2,1,3,6,8,5,4]=>0000000 [6,8,4,7,5,2,1,3]=>[3,1,2,5,7,4,8,6]=>0010000 [8,3,6,7,1,2,5,4]=>[4,5,2,1,7,6,3,8]=>0000001 [5,8,7,2,4,3,1,6]=>[6,1,3,4,2,7,8,5]=>0000000 [7,2,5,1,3,4,8,6]=>[6,8,4,3,1,5,2,7]=>0000000 [2,7,3,4,6,1,5,8]=>[8,5,1,6,4,3,7,2]=>0000000 [3,6,4,5,8,2,7,1]=>[1,7,2,8,5,4,6,3]=>1000000 [2,5,1,6,8,7,3,4]=>[4,3,7,8,6,1,5,2]=>0000000 [4,2,3,7,1,6,5,8]=>[8,5,6,1,7,3,2,4]=>0000000 [7,3,5,8,2,6,4,1]=>[1,4,6,2,8,5,3,7]=>1000000 [4,2,6,8,3,7,1,5]=>[5,1,7,3,8,6,2,4]=>0000000 [6,3,8,5,7,2,4,1]=>[1,4,2,7,5,8,3,6]=>1000000 [5,2,4,6,1,8,3,7]=>[7,3,8,1,6,4,2,5]=>0000000 [5,4,7,6,1,3,8,2]=>[2,8,3,1,6,7,4,5]=>0000000 [2,7,1,4,8,5,6,3]=>[3,6,5,8,4,1,7,2]=>0000000 [7,2,8,1,4,3,5,6]=>[6,5,3,4,1,8,2,7]=>0000000 [1,8,5,3,6,7,2,4]=>[4,2,7,6,3,5,8,1]=>0000000 [2,1,5,7,6,8,3,4]=>[4,3,8,6,7,5,1,2]=>0000000 [8,3,7,1,2,6,5,4]=>[4,5,6,2,1,7,3,8]=>0000001 [8,2,3,7,6,1,5,4]=>[4,5,1,6,7,3,2,8]=>0000001 [4,8,6,2,7,5,1,3]=>[3,1,5,7,2,6,8,4]=>0000000 [7,8,2,3,6,4,5,1]=>[1,5,4,6,3,2,8,7]=>1000010 [7,8,6,2,4,5,3,1]=>[1,3,5,4,2,6,8,7]=>1000110 [8,4,6,7,5,1,2,3]=>[3,2,1,5,7,6,4,8]=>0010001 [2,6,3,1,5,4,8,7]=>[7,8,4,5,1,3,6,2]=>0000000 [3,8,7,5,4,2,1,6]=>[6,1,2,4,5,7,8,3]=>0000000 [7,1,6,4,2,5,8,3]=>[3,8,5,2,4,6,1,7]=>0000000 [3,8,5,2,7,4,6,1]=>[1,6,4,7,2,5,8,3]=>1000000 [2,6,8,1,7,4,5,3]=>[3,5,4,7,1,8,6,2]=>0000000 [6,1,2,5,3,8,7,4]=>[4,7,8,3,5,2,1,6]=>0000000 [8,1,3,5,4,2,7,6]=>[6,7,2,4,5,3,1,8]=>0000001 [2,7,8,3,5,4,6,1]=>[1,6,4,5,3,8,7,2]=>1000000 [7,5,2,6,4,8,1,3]=>[3,1,8,4,6,2,5,7]=>0000000 [5,7,4,2,8,6,1,3]=>[3,1,6,8,2,4,7,5]=>0000000 [5,6,8,7,3,4,2,1]=>[1,2,4,3,7,8,6,5]=>1101000 [6,3,1,8,7,4,5,2]=>[2,5,4,7,8,1,3,6]=>0000000 [8,1,3,6,7,2,5,4]=>[4,5,2,7,6,3,1,8]=>0000001 [3,5,6,7,2,1,4,8]=>[8,4,1,2,7,6,5,3]=>0000000 [7,3,5,6,2,8,4,1]=>[1,4,8,2,6,5,3,7]=>1000000 [2,7,4,3,8,6,1,5]=>[5,1,6,8,3,4,7,2]=>0000000 [1,7,6,5,3,4,8,2]=>[2,8,4,3,5,6,7,1]=>0000000 [1,6,2,3,7,5,4,8]=>[8,4,5,7,3,2,6,1]=>0000000 [3,2,6,4,7,1,5,8]=>[8,5,1,7,4,6,2,3]=>0000000 [1,6,8,5,3,7,2,4]=>[4,2,7,3,5,8,6,1]=>0000000 [1,3,8,7,2,6,4,5]=>[5,4,6,2,7,8,3,1]=>0000000 [1,4,7,5,8,6,2,3]=>[3,2,6,8,5,7,4,1]=>0000000 [6,1,3,5,2,7,4,8]=>[8,4,7,2,5,3,1,6]=>0000000 [4,8,5,2,3,6,7,1]=>[1,7,6,3,2,5,8,4]=>1000000 [4,5,8,3,2,6,7,1]=>[1,7,6,2,3,8,5,4]=>1000000 [5,8,6,2,4,7,3,1]=>[1,3,7,4,2,6,8,5]=>1000000 [7,4,1,8,5,3,2,6]=>[6,2,3,5,8,1,4,7]=>0000000 [2,7,5,6,8,1,3,4]=>[4,3,1,8,6,5,7,2]=>0000000 [1,4,7,6,8,2,5,3]=>[3,5,2,8,6,7,4,1]=>0000000 [4,6,5,2,3,7,1,8]=>[8,1,7,3,2,5,6,4]=>0000000 [4,1,7,8,3,5,2,6]=>[6,2,5,3,8,7,1,4]=>0000000 [7,1,3,6,4,2,8,5]=>[5,8,2,4,6,3,1,7]=>0000000 [6,7,8,2,4,1,5,3]=>[3,5,1,4,2,8,7,6]=>0000100 [8,5,4,6,2,7,3,1]=>[1,3,7,2,6,4,5,8]=>1000001 [8,5,3,2,6,7,4,1]=>[1,4,7,6,2,3,5,8]=>1000001 [6,5,2,4,8,3,7,1]=>[1,7,3,8,4,2,5,6]=>1000000 [3,8,5,7,4,2,6,1]=>[1,6,2,4,7,5,8,3]=>1000000 [7,2,6,1,5,4,8,3]=>[3,8,4,5,1,6,2,7]=>0000000 [4,6,1,8,7,5,3,2]=>[2,3,5,7,8,1,6,4]=>0000000 [3,6,4,5,7,8,2,1]=>[1,2,8,7,5,4,6,3]=>1100000 [4,2,1,8,5,7,6,3]=>[3,6,7,5,8,1,2,4]=>0000000 [1,6,8,2,4,7,3,5]=>[5,3,7,4,2,8,6,1]=>0000000 [1,5,6,3,8,7,2,4]=>[4,2,7,8,3,6,5,1]=>0000000 [4,1,2,8,7,6,3,5]=>[5,3,6,7,8,2,1,4]=>0000000 [6,1,2,8,4,7,3,5]=>[5,3,7,4,8,2,1,6]=>0000000 [5,3,1,2,8,7,6,4]=>[4,6,7,8,2,1,3,5]=>0000000 [2,5,1,8,7,3,6,4]=>[4,6,3,7,8,1,5,2]=>0000000 [5,1,2,8,7,3,6,4]=>[4,6,3,7,8,2,1,5]=>0000000 [2,1,8,7,3,5,6,4]=>[4,6,5,3,7,8,1,2]=>0000000 [4,1,5,8,6,2,7,3]=>[3,7,2,6,8,5,1,4]=>0000000 [1,7,4,3,8,2,6,5]=>[5,6,2,8,3,4,7,1]=>0000000 [3,4,6,7,8,2,5,1]=>[1,5,2,8,7,6,4,3]=>1000000 [1,8,6,2,7,5,3,4]=>[4,3,5,7,2,6,8,1]=>0000000 [7,8,3,2,6,5,1,4]=>[4,1,5,6,2,3,8,7]=>0000010 [6,1,2,5,8,4,3,7]=>[7,3,4,8,5,2,1,6]=>0000000 [3,7,2,6,5,1,4,8]=>[8,4,1,5,6,2,7,3]=>0000000 [8,3,1,6,7,4,5,2]=>[2,5,4,7,6,1,3,8]=>0000001 [5,4,6,8,2,1,3,7]=>[7,3,1,2,8,6,4,5]=>0000000 [2,7,5,3,4,1,8,6]=>[6,8,1,4,3,5,7,2]=>0000000 [8,6,2,1,5,3,7,4]=>[4,7,3,5,1,2,6,8]=>0000001 [4,1,5,6,2,8,7,3]=>[3,7,8,2,6,5,1,4]=>0000000 [1,4,8,7,6,2,5,3]=>[3,5,2,6,7,8,4,1]=>0000000 [5,6,2,3,7,4,8,1]=>[1,8,4,7,3,2,6,5]=>1000000 [5,8,7,2,3,1,4,6]=>[6,4,1,3,2,7,8,5]=>0000000 [2,4,7,6,3,8,5,1]=>[1,5,8,3,6,7,4,2]=>1000000 [7,3,6,2,4,8,5,1]=>[1,5,8,4,2,6,3,7]=>1000000 [2,6,8,7,1,4,5,3]=>[3,5,4,1,7,8,6,2]=>0000000 [4,8,7,1,2,6,5,3]=>[3,5,6,2,1,7,8,4]=>0000000 [5,2,6,4,3,8,1,7]=>[7,1,8,3,4,6,2,5]=>0000000 [7,4,3,6,1,2,8,5]=>[5,8,2,1,6,3,4,7]=>0000000 [7,6,4,8,2,1,5,3]=>[3,5,1,2,8,4,6,7]=>0000000 [4,7,8,6,2,1,5,3]=>[3,5,1,2,6,8,7,4]=>0000000 [3,5,7,1,6,4,2,8]=>[8,2,4,6,1,7,5,3]=>0000000 [6,3,8,4,1,5,7,2]=>[2,7,5,1,4,8,3,6]=>0000000 [8,1,6,7,3,5,2,4]=>[4,2,5,3,7,6,1,8]=>0000001 [7,1,5,6,3,4,2,8]=>[8,2,4,3,6,5,1,7]=>0000000 [8,2,5,6,4,1,3,7]=>[7,3,1,4,6,5,2,8]=>0000001 [6,1,4,5,2,7,3,8]=>[8,3,7,2,5,4,1,6]=>0000000 [7,1,4,5,2,6,3,8]=>[8,3,6,2,5,4,1,7]=>0000000 [5,1,4,7,3,6,2,8]=>[8,2,6,3,7,4,1,5]=>0000000 [6,1,4,8,3,7,2,5]=>[5,2,7,3,8,4,1,6]=>0000000 [6,1,4,7,3,5,2,8]=>[8,2,5,3,7,4,1,6]=>0000000 [8,3,6,7,4,2,5,1]=>[1,5,2,4,7,6,3,8]=>1000001 [8,5,7,1,4,6,2,3]=>[3,2,6,4,1,7,5,8]=>0000001 [5,6,7,2,3,8,4,1]=>[1,4,8,3,2,7,6,5]=>1000000 [1,7,8,5,6,2,4,3]=>[3,4,2,6,5,8,7,1]=>0000000 [4,6,1,5,7,8,3,2]=>[2,3,8,7,5,1,6,4]=>0000000 [6,8,1,7,2,4,3,5]=>[5,3,4,2,7,1,8,6]=>0000000 [5,3,6,8,2,4,1,7]=>[7,1,4,2,8,6,3,5]=>0000000 [5,1,3,6,8,7,2,4]=>[4,2,7,8,6,3,1,5]=>0000000 [7,2,6,1,3,5,8,4]=>[4,8,5,3,1,6,2,7]=>0000000 [7,2,5,1,6,3,8,4]=>[4,8,3,6,1,5,2,7]=>0000000 [5,2,6,1,3,8,4,7]=>[7,4,8,3,1,6,2,5]=>0000000 [6,1,8,5,7,4,2,3]=>[3,2,4,7,5,8,1,6]=>0000000 [5,8,1,6,4,7,2,3]=>[3,2,7,4,6,1,8,5]=>0000000 [5,7,1,6,4,2,3,8]=>[8,3,2,4,6,1,7,5]=>0000000 [6,1,7,5,4,2,3,8]=>[8,3,2,4,5,7,1,6]=>0000000 [6,1,8,4,7,5,2,3]=>[3,2,5,7,4,8,1,6]=>0000000 [4,2,3,6,1,8,7,5]=>[5,7,8,1,6,3,2,4]=>0000000 [5,7,4,1,3,8,2,6]=>[6,2,8,3,1,4,7,5]=>0000000 [6,7,5,4,1,3,8,2]=>[2,8,3,1,4,5,7,6]=>0000000 [4,7,6,5,1,2,3,8]=>[8,3,2,1,5,6,7,4]=>0000000 [5,7,8,4,2,3,6,1]=>[1,6,3,2,4,8,7,5]=>1000000 [5,2,1,3,8,4,6,7]=>[7,6,4,8,3,1,2,5]=>0000000 [4,1,3,5,7,6,8,2]=>[2,8,6,7,5,3,1,4]=>0000000 [3,7,8,6,1,5,2,4]=>[4,2,5,1,6,8,7,3]=>0000000 [2,5,4,6,1,3,8,7]=>[7,8,3,1,6,4,5,2]=>0000000 [4,5,1,7,6,8,3,2]=>[2,3,8,6,7,1,5,4]=>0000000 [8,6,7,2,4,3,1,5]=>[5,1,3,4,2,7,6,8]=>0000101 [7,1,6,8,3,2,5,4]=>[4,5,2,3,8,6,1,7]=>0000000 [8,5,7,6,3,4,2,1]=>[1,2,4,3,6,7,5,8]=>1101001 [3,7,2,5,8,4,1,6]=>[6,1,4,8,5,2,7,3]=>0000000 [4,3,5,7,8,1,6,2]=>[2,6,1,8,7,5,3,4]=>0000000 [4,8,7,2,3,6,1,5]=>[5,1,6,3,2,7,8,4]=>0000000 [3,7,1,6,2,4,5,8]=>[8,5,4,2,6,1,7,3]=>0000000 [1,5,7,3,4,2,6,8]=>[8,6,2,4,3,7,5,1]=>0000000 [4,8,6,5,7,2,3,1]=>[1,3,2,7,5,6,8,4]=>1010000 [8,1,4,6,5,7,2,3]=>[3,2,7,5,6,4,1,8]=>0000001 [8,4,6,5,2,3,7,1]=>[1,7,3,2,5,6,4,8]=>1000001 [7,4,2,1,6,3,8,5]=>[5,8,3,6,1,2,4,7]=>0000000 [8,7,2,4,1,3,6,5]=>[5,6,3,1,4,2,7,8]=>0000011 [3,7,4,6,5,1,8,2]=>[2,8,1,5,6,4,7,3]=>0000000 [5,3,7,1,4,6,2,8]=>[8,2,6,4,1,7,3,5]=>0000000 [6,5,4,1,7,3,2,8]=>[8,2,3,7,1,4,5,6]=>0000000 [2,7,8,3,4,1,5,6]=>[6,5,1,4,3,8,7,2]=>0000000 [2,1,3,7,8,5,4,6]=>[6,4,5,8,7,3,1,2]=>0000000 [6,5,3,1,4,8,2,7]=>[7,2,8,4,1,3,5,6]=>0000000 [6,5,1,3,2,4,8,7]=>[7,8,4,2,3,1,5,6]=>0000000 [6,5,2,4,8,7,1,3]=>[3,1,7,8,4,2,5,6]=>0000000 [3,4,7,2,5,6,8,1]=>[1,8,6,5,2,7,4,3]=>1000000 [4,5,2,6,1,3,7,8]=>[8,7,3,1,6,2,5,4]=>0000000 [4,5,2,6,1,7,8,3]=>[3,8,7,1,6,2,5,4]=>0000000 [6,7,4,3,2,8,1,5]=>[5,1,8,2,3,4,7,6]=>0000000 [4,1,3,5,7,2,6,8]=>[8,6,2,7,5,3,1,4]=>0000000 [6,5,2,3,7,4,1,8]=>[8,1,4,7,3,2,5,6]=>0000000 [5,3,1,7,6,4,8,2]=>[2,8,4,6,7,1,3,5]=>0000000 [5,1,3,4,8,7,6,2]=>[2,6,7,8,4,3,1,5]=>0000000 [6,5,4,1,2,8,7,3]=>[3,7,8,2,1,4,5,6]=>0000000 [8,6,2,5,3,7,4,1]=>[1,4,7,3,5,2,6,8]=>1000001 [1,3,5,8,7,4,6,2]=>[2,6,4,7,8,5,3,1]=>0000000 [7,4,6,5,3,2,8,1]=>[1,8,2,3,5,6,4,7]=>1000000 [5,8,6,3,4,7,1,2]=>[2,1,7,4,3,6,8,5]=>0100000 [7,2,6,3,8,5,1,4]=>[4,1,5,8,3,6,2,7]=>0000000 [6,7,3,4,2,8,5,1]=>[1,5,8,2,4,3,7,6]=>1000000 [5,2,1,7,8,6,4,3]=>[3,4,6,8,7,1,2,5]=>0000000 [7,2,4,3,6,8,5,1]=>[1,5,8,6,3,4,2,7]=>1000000 [8,3,6,7,5,2,4,1]=>[1,4,2,5,7,6,3,8]=>1000001 [7,2,6,5,8,3,1,4]=>[4,1,3,8,5,6,2,7]=>0000000 [2,5,7,8,4,6,1,3]=>[3,1,6,4,8,7,5,2]=>0000000 [4,6,5,1,8,2,7,3]=>[3,7,2,8,1,5,6,4]=>0000000 [8,1,3,2,5,7,6,4]=>[4,6,7,5,2,3,1,8]=>0000001 [3,2,7,6,4,8,1,5]=>[5,1,8,4,6,7,2,3]=>0000000 [7,3,1,8,4,6,5,2]=>[2,5,6,4,8,1,3,7]=>0000000 [4,7,6,2,3,5,8,1]=>[1,8,5,3,2,6,7,4]=>1000000 [7,2,3,5,6,1,8,4]=>[4,8,1,6,5,3,2,7]=>0000000 [5,3,2,8,7,4,6,1]=>[1,6,4,7,8,2,3,5]=>1000000 [3,5,7,6,1,2,8,4]=>[4,8,2,1,6,7,5,3]=>0000000 [4,5,6,8,1,7,2,3]=>[3,2,7,1,8,6,5,4]=>0000000 [4,7,3,6,8,1,5,2]=>[2,5,1,8,6,3,7,4]=>0000000 [1,6,3,8,5,7,4,2]=>[2,4,7,5,8,3,6,1]=>0000000 [7,8,6,4,2,1,5,3]=>[3,5,1,2,4,6,8,7]=>0000110 [2,7,5,3,4,1,6,8]=>[8,6,1,4,3,5,7,2]=>0000000 [3,1,5,7,4,8,6,2]=>[2,6,8,4,7,5,1,3]=>0000000 [7,5,1,4,3,8,2,6]=>[6,2,8,3,4,1,5,7]=>0000000 [5,7,3,6,4,1,2,8]=>[8,2,1,4,6,3,7,5]=>0000000 [4,7,3,6,1,5,2,8]=>[8,2,5,1,6,3,7,4]=>0000000 [4,2,7,1,3,5,8,6]=>[6,8,5,3,1,7,2,4]=>0000000 [2,7,3,4,1,6,5,8]=>[8,5,6,1,4,3,7,2]=>0000000 [6,3,4,2,8,5,7,1]=>[1,7,5,8,2,4,3,6]=>1000000 [5,4,6,1,2,8,7,3]=>[3,7,8,2,1,6,4,5]=>0000000 [7,2,8,3,4,1,6,5]=>[5,6,1,4,3,8,2,7]=>0000000 [3,8,7,5,2,4,6,1]=>[1,6,4,2,5,7,8,3]=>1000000 [8,6,4,2,5,7,3,1]=>[1,3,7,5,2,4,6,8]=>1000001 [1,8,5,3,4,2,7,6]=>[6,7,2,4,3,5,8,1]=>0000000 [2,6,3,5,8,1,7,4]=>[4,7,1,8,5,3,6,2]=>0000000 [6,3,4,8,5,7,2,1]=>[1,2,7,5,8,4,3,6]=>1100000 [3,8,6,2,1,5,4,7]=>[7,4,5,1,2,6,8,3]=>0000000 [4,7,5,6,1,2,3,8]=>[8,3,2,1,6,5,7,4]=>0000000 [3,8,6,2,5,4,1,7]=>[7,1,4,5,2,6,8,3]=>0000000 [4,2,7,5,8,6,1,3]=>[3,1,6,8,5,7,2,4]=>0000000 [6,1,3,7,8,5,2,4]=>[4,2,5,8,7,3,1,6]=>0000000 [6,1,3,2,5,7,4,8]=>[8,4,7,5,2,3,1,6]=>0000000 [6,1,3,5,4,7,2,8]=>[8,2,7,4,5,3,1,6]=>0000000 [8,1,3,5,2,7,4,6]=>[6,4,7,2,5,3,1,8]=>0000001 [4,1,3,5,7,6,2,8]=>[8,2,6,7,5,3,1,4]=>0000000 [4,1,3,7,8,5,6,2]=>[2,6,5,8,7,3,1,4]=>0000000 [8,1,4,5,2,3,7,6]=>[6,7,3,2,5,4,1,8]=>0000001 [8,6,7,2,1,5,3,4]=>[4,3,5,1,2,7,6,8]=>0000101 [4,7,2,5,3,6,8,1]=>[1,8,6,3,5,2,7,4]=>1000000 [2,4,8,1,6,7,5,3]=>[3,5,7,6,1,8,4,2]=>0000000 [2,8,1,4,3,6,7,5]=>[5,7,6,3,4,1,8,2]=>0000000 [8,5,2,4,7,3,6,1]=>[1,6,3,7,4,2,5,8]=>1000001 [6,8,3,4,2,7,5,1]=>[1,5,7,2,4,3,8,6]=>1000000 [6,5,4,1,3,8,7,2]=>[2,7,8,3,1,4,5,6]=>0000000 [7,6,1,3,2,8,5,4]=>[4,5,8,2,3,1,6,7]=>0000000 [3,2,7,8,6,5,1,4]=>[4,1,5,6,8,7,2,3]=>0000000 [2,7,4,8,6,5,3,1]=>[1,3,5,6,8,4,7,2]=>1000000 [4,5,7,1,3,2,8,6]=>[6,8,2,3,1,7,5,4]=>0000000 [8,1,6,3,2,7,5,4]=>[4,5,7,2,3,6,1,8]=>0000001 [2,8,1,4,6,3,7,5]=>[5,7,3,6,4,1,8,2]=>0000000 [4,6,8,7,1,2,3,5]=>[5,3,2,1,7,8,6,4]=>0000000 [6,7,1,3,5,4,2,8]=>[8,2,4,5,3,1,7,6]=>0000000 [3,8,4,7,6,5,1,2]=>[2,1,5,6,7,4,8,3]=>0100000 [2,3,6,4,7,8,1,5]=>[5,1,8,7,4,6,3,2]=>0000000 [4,7,8,6,3,1,5,2]=>[2,5,1,3,6,8,7,4]=>0000000 [7,4,5,1,3,2,8,6]=>[6,8,2,3,1,5,4,7]=>0000000 [7,4,1,6,5,8,2,3]=>[3,2,8,5,6,1,4,7]=>0000000 [4,7,5,2,3,1,6,8]=>[8,6,1,3,2,5,7,4]=>0000000 [3,6,4,1,8,5,2,7]=>[7,2,5,8,1,4,6,3]=>0000000 [3,6,4,1,8,5,7,2]=>[2,7,5,8,1,4,6,3]=>0000000 [5,8,2,3,7,1,6,4]=>[4,6,1,7,3,2,8,5]=>0000000 [7,1,8,3,2,6,5,4]=>[4,5,6,2,3,8,1,7]=>0000000 [4,2,1,7,6,3,5,8]=>[8,5,3,6,7,1,2,4]=>0000000 [5,1,4,6,8,7,2,3]=>[3,2,7,8,6,4,1,5]=>0000000 [8,6,3,5,2,4,7,1]=>[1,7,4,2,5,3,6,8]=>1000001 [5,1,3,6,7,4,8,2]=>[2,8,4,7,6,3,1,5]=>0000000 [6,3,8,5,1,4,7,2]=>[2,7,4,1,5,8,3,6]=>0000000 [8,7,3,4,6,1,5,2]=>[2,5,1,6,4,3,7,8]=>0000011 [3,7,2,6,5,8,4,1]=>[1,4,8,5,6,2,7,3]=>1000000 [8,7,2,5,6,3,4,1]=>[1,4,3,6,5,2,7,8]=>1000011 [8,7,2,3,6,4,5,1]=>[1,5,4,6,3,2,7,8]=>1000011 [4,8,3,6,5,1,2,7]=>[7,2,1,5,6,3,8,4]=>0000000 [7,3,6,8,2,4,5,1]=>[1,5,4,2,8,6,3,7]=>1000000 [5,3,4,8,7,6,2,1]=>[1,2,6,7,8,4,3,5]=>1100000 [4,5,7,1,8,3,6,2]=>[2,6,3,8,1,7,5,4]=>0000000 [4,8,2,5,6,3,1,7]=>[7,1,3,6,5,2,8,4]=>0000000 [4,6,2,5,8,3,1,7]=>[7,1,3,8,5,2,6,4]=>0000000 [7,4,8,2,1,6,5,3]=>[3,5,6,1,2,8,4,7]=>0000000 [5,6,1,8,4,7,3,2]=>[2,3,7,4,8,1,6,5]=>0000000 [4,3,2,7,6,1,5,8]=>[8,5,1,6,7,2,3,4]=>0000000 [2,8,5,1,3,4,7,6]=>[6,7,4,3,1,5,8,2]=>0000000 [4,6,1,3,8,2,5,7]=>[7,5,2,8,3,1,6,4]=>0000000 [2,8,1,6,7,4,3,5]=>[5,3,4,7,6,1,8,2]=>0000000 [6,5,7,1,8,3,2,4]=>[4,2,3,8,1,7,5,6]=>0000000 [7,1,3,8,5,4,2,6]=>[6,2,4,5,8,3,1,7]=>0000000 [8,4,5,7,2,3,6,1]=>[1,6,3,2,7,5,4,8]=>1000001 [5,2,4,8,6,3,7,1]=>[1,7,3,6,8,4,2,5]=>1000000 [5,4,8,6,7,1,3,2]=>[2,3,1,7,6,8,4,5]=>0010000 [5,8,6,3,1,4,7,2]=>[2,7,4,1,3,6,8,5]=>0000000 [1,4,2,6,5,7,8,3]=>[3,8,7,5,6,2,4,1]=>0000000 [3,8,6,2,1,4,7,5]=>[5,7,4,1,2,6,8,3]=>0000000 [7,4,2,3,5,8,6,1]=>[1,6,8,5,3,2,4,7]=>1000000 [5,2,3,6,8,7,1,4]=>[4,1,7,8,6,3,2,5]=>0000000 [7,4,5,1,3,2,6,8]=>[8,6,2,3,1,5,4,7]=>0000000 [2,5,8,3,4,7,6,1]=>[1,6,7,4,3,8,5,2]=>1000000 [5,3,6,4,8,1,7,2]=>[2,7,1,8,4,6,3,5]=>0000000 [5,3,6,4,2,7,8,1]=>[1,8,7,2,4,6,3,5]=>1000000 [3,8,5,7,4,1,2,6]=>[6,2,1,4,7,5,8,3]=>0000000 [8,3,2,1,7,5,6,4]=>[4,6,5,7,1,2,3,8]=>0000001 [6,4,1,7,8,3,2,5]=>[5,2,3,8,7,1,4,6]=>0000000 [4,2,7,5,1,6,3,8]=>[8,3,6,1,5,7,2,4]=>0000000 [8,7,3,4,6,5,1,2]=>[2,1,5,6,4,3,7,8]=>0100011 [4,2,8,7,5,3,6,1]=>[1,6,3,5,7,8,2,4]=>1000000 [3,4,2,5,7,1,6,8]=>[8,6,1,7,5,2,4,3]=>0000000 [5,2,8,7,3,4,6,1]=>[1,6,4,3,7,8,2,5]=>1000000 [3,2,7,5,1,4,8,6]=>[6,8,4,1,5,7,2,3]=>0000000 [1,3,6,4,7,8,5,2]=>[2,5,8,7,4,6,3,1]=>0000000 [3,8,6,7,1,4,2,5]=>[5,2,4,1,7,6,8,3]=>0000000 [5,7,4,8,6,2,3,1]=>[1,3,2,6,8,4,7,5]=>1010000 [5,6,3,1,4,7,8,2]=>[2,8,7,4,1,3,6,5]=>0000000 [5,4,8,1,3,2,6,7]=>[7,6,2,3,1,8,4,5]=>0000000 [3,6,7,4,2,5,8,1]=>[1,8,5,2,4,7,6,3]=>1000000 [5,8,6,3,2,7,4,1]=>[1,4,7,2,3,6,8,5]=>1000000 [3,1,6,4,2,7,8,5]=>[5,8,7,2,4,6,1,3]=>0000000 [8,3,7,6,1,2,5,4]=>[4,5,2,1,6,7,3,8]=>0000001 [2,7,1,6,3,8,5,4]=>[4,5,8,3,6,1,7,2]=>0000000 [5,7,4,2,3,6,1,8]=>[8,1,6,3,2,4,7,5]=>0000000 [4,8,6,2,5,7,1,3]=>[3,1,7,5,2,6,8,4]=>0000000 [6,3,4,5,1,8,7,2]=>[2,7,8,1,5,4,3,6]=>0000000 [1,6,3,4,7,5,2,8]=>[8,2,5,7,4,3,6,1]=>0000000 [1,8,6,5,2,3,7,4]=>[4,7,3,2,5,6,8,1]=>0000000 [2,7,1,3,8,6,4,5]=>[5,4,6,8,3,1,7,2]=>0000000 [7,4,6,3,2,5,8,1]=>[1,8,5,2,3,6,4,7]=>1000000 [5,3,4,8,7,2,1,6]=>[6,1,2,7,8,4,3,5]=>0000000 [6,2,3,5,7,1,8,4]=>[4,8,1,7,5,3,2,6]=>0000000 [8,3,6,1,7,2,5,4]=>[4,5,2,7,1,6,3,8]=>0000001 [3,5,4,1,8,2,6,7]=>[7,6,2,8,1,4,5,3]=>0000000 [6,3,2,1,7,5,8,4]=>[4,8,5,7,1,2,3,6]=>0000000 [7,8,2,5,4,6,3,1]=>[1,3,6,4,5,2,8,7]=>1000010 [4,8,3,2,6,5,7,1]=>[1,7,5,6,2,3,8,4]=>1000000 [8,4,2,7,3,6,5,1]=>[1,5,6,3,7,2,4,8]=>1000001 [6,1,4,7,8,3,2,5]=>[5,2,3,8,7,4,1,6]=>0000000 [8,5,7,2,4,3,1,6]=>[6,1,3,4,2,7,5,8]=>0000001 [3,7,8,2,5,4,1,6]=>[6,1,4,5,2,8,7,3]=>0000000 [7,5,4,1,2,6,3,8]=>[8,3,6,2,1,4,5,7]=>0000000 [7,4,5,6,2,8,1,3]=>[3,1,8,2,6,5,4,7]=>0000000 [1,7,8,2,3,5,4,6]=>[6,4,5,3,2,8,7,1]=>0000000 [4,6,5,1,3,2,7,8]=>[8,7,2,3,1,5,6,4]=>0000000 [4,3,6,2,8,5,7,1]=>[1,7,5,8,2,6,3,4]=>1000000 [6,7,8,2,1,3,5,4]=>[4,5,3,1,2,8,7,6]=>0000100 [6,5,2,3,8,7,4,1]=>[1,4,7,8,3,2,5,6]=>1000000 [5,4,7,2,3,6,1,8]=>[8,1,6,3,2,7,4,5]=>0000000 [5,4,7,3,8,6,2,1]=>[1,2,6,8,3,7,4,5]=>1100000 [8,3,6,5,2,7,4,1]=>[1,4,7,2,5,6,3,8]=>1000001 [3,7,5,8,4,2,6,1]=>[1,6,2,4,8,5,7,3]=>1000000 [8,2,3,1,5,7,4,6]=>[6,4,7,5,1,3,2,8]=>0000001 [4,2,7,6,5,1,8,3]=>[3,8,1,5,6,7,2,4]=>0000000 [7,8,4,6,3,2,5,1]=>[1,5,2,3,6,4,8,7]=>1000010 [6,3,1,4,5,7,2,8]=>[8,2,7,5,4,1,3,6]=>0000000 [7,6,3,2,4,8,5,1]=>[1,5,8,4,2,3,6,7]=>1000000 [5,1,8,7,3,2,4,6]=>[6,4,2,3,7,8,1,5]=>0000000 [2,7,1,6,8,4,5,3]=>[3,5,4,8,6,1,7,2]=>0000000 [8,3,5,4,6,2,1,7]=>[7,1,2,6,4,5,3,8]=>0000001 [1,7,4,6,5,2,3,8]=>[8,3,2,5,6,4,7,1]=>0000000 [8,4,1,5,3,6,2,7]=>[7,2,6,3,5,1,4,8]=>0000001 [3,6,8,4,2,5,7,1]=>[1,7,5,2,4,8,6,3]=>1000000 [3,6,2,5,7,4,8,1]=>[1,8,4,7,5,2,6,3]=>1000000 [8,4,3,6,2,5,7,1]=>[1,7,5,2,6,3,4,8]=>1000001 [2,6,8,5,3,7,4,1]=>[1,4,7,3,5,8,6,2]=>1000000 [7,8,6,4,2,5,3,1]=>[1,3,5,2,4,6,8,7]=>1000110 [4,8,7,1,3,2,5,6]=>[6,5,2,3,1,7,8,4]=>0000000 [4,3,8,5,6,2,1,7]=>[7,1,2,6,5,8,3,4]=>0000000 [6,1,2,5,3,7,4,8]=>[8,4,7,3,5,2,1,6]=>0000000 [8,2,5,1,6,4,7,3]=>[3,7,4,6,1,5,2,8]=>0000001 [4,2,8,5,3,7,1,6]=>[6,1,7,3,5,8,2,4]=>0000000 [5,6,8,7,3,2,4,1]=>[1,4,2,3,7,8,6,5]=>1001000 [5,4,7,1,3,6,2,8]=>[8,2,6,3,1,7,4,5]=>0000000 [3,8,6,1,7,5,2,4]=>[4,2,5,7,1,6,8,3]=>0000000 [5,2,4,8,7,3,6,1]=>[1,6,3,7,8,4,2,5]=>1000000 [4,3,1,5,7,6,2,8]=>[8,2,6,7,5,1,3,4]=>0000000 [4,3,7,5,6,2,1,8]=>[8,1,2,6,5,7,3,4]=>0000000 [7,8,4,6,2,5,3,1]=>[1,3,5,2,6,4,8,7]=>1000010 [4,8,6,1,3,7,2,5]=>[5,2,7,3,1,6,8,4]=>0000000 [6,3,7,4,2,5,1,8]=>[8,1,5,2,4,7,3,6]=>0000000 [8,2,7,5,3,6,1,4]=>[4,1,6,3,5,7,2,8]=>0000001 [5,8,7,3,1,2,6,4]=>[4,6,2,1,3,7,8,5]=>0000000 [8,4,7,5,6,1,2,3]=>[3,2,1,6,5,7,4,8]=>0010001 [5,2,3,6,7,1,4,8]=>[8,4,1,7,6,3,2,5]=>0000000 [8,7,2,6,3,4,5,1]=>[1,5,4,3,6,2,7,8]=>1000011 [3,7,6,8,2,4,5,1]=>[1,5,4,2,8,6,7,3]=>1000000 [5,7,3,4,2,1,6,8]=>[8,6,1,2,4,3,7,5]=>0000000 [7,3,4,6,5,1,8,2]=>[2,8,1,5,6,4,3,7]=>0000000 [2,4,5,8,7,3,6,1]=>[1,6,3,7,8,5,4,2]=>1000000 [4,7,1,3,6,2,8,5]=>[5,8,2,6,3,1,7,4]=>0000000 [1,5,8,6,3,2,4,7]=>[7,4,2,3,6,8,5,1]=>0000000 [7,3,2,4,6,8,5,1]=>[1,5,8,6,4,2,3,7]=>1000000